{"id":5609,"date":"2026-02-26T22:37:19","date_gmt":"2026-02-26T14:37:19","guid":{"rendered":"https:\/\/www.xiaobuwq.com\/blog\/trajectory-generation-software-types-methods-classification"},"modified":"2026-02-26T22:37:19","modified_gmt":"2026-02-26T14:37:19","slug":"trajectory-generation-software-types-methods-classification","status":"publish","type":"post","link":"https:\/\/www.xiaobuwq.com\/blog\/trajectory-generation-software-types-methods-classification","title":{"rendered":"\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\u6709\u54ea\u4e9b\u7c7b\u578b\uff1f\u76d8\u70b9\u5e38\u89c1\u7684\u751f\u6210\u65b9\u6cd5\u4e0e\u6280\u672f\u5206\u7c7b"},"content":{"rendered":"<p>\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\u662f\u73b0\u4ee3\u667a\u80fd\u7cfb\u7edf\u7684\u6838\u5fc3\uff0c\u5176\u672c\u8d28\u662f\u4e3a\u673a\u5668\u4eba\u3001\u81ea\u52a8\u9a7e\u9a76\u8f66\u8f86\u6216\u865a\u62df\u89d2\u8272\u89c4\u5212\u51fa\u4e00\u6761\u5b89\u5168\u3001\u5e73\u6ed1\u4e14\u9ad8\u6548\u7684\u8fd0\u52a8\u8def\u5f84\u3002\u9009\u62e9\u5408\u9002\u7684\u8f6f\u4ef6\u6216\u65b9\u6cd5\u5e76\u975e\u6613\u4e8b\uff0c\u5173\u952e\u5728\u4e8e\u6df1\u523b\u7406\u89e3\u9879\u76ee\u9700\u6c42\u4e0e\u4e0d\u540c\u6280\u672f\uff08\u63d2\u503c\u6cd5\u3001\u4f18\u5316\u6cd5\u3001\u968f\u673a\u91c7\u6837\u6cd5\uff09\u7684\u5185\u5728\u6743\u8861\u3002\u672c\u6587\u65e8\u5728\u4e3a\u60a8\u6784\u5efa\u4e00\u4e2a\u6e05\u6670\u7684\u77e5\u8bc6\u6846\u67b6\uff0c\u901a\u8fc7\u68b3\u7406\u4e3b\u6d41\u6280\u672f\u5206\u7c7b\u3001\u5bf9\u6bd4\u5176\u4f18\u52a3\uff0c\u5e76\u7ed3\u5408\u5177\u4f53\u8f6f\u4ef6\u793a\u4f8b\uff08\u5982 ROS MoveIt!, MATLAB\uff09\uff0c\u5e2e\u52a9\u60a8\u5728\u5de5\u4e1a\u81ea\u52a8\u5316\u3001\u81ea\u52a8\u9a7e\u9a76\u3001\u6e38\u620f\u5f00\u53d1\u7b49\u9886\u57df\u505a\u51fa\u66f4\u660e\u667a\u7684\u6280\u672f\u9009\u578b\u3002<\/p>\n<h2>\u4ec0\u4e48\u662f\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\uff1f\u4e3a\u4f55\u5b83\u5982\u6b64\u91cd\u8981\uff1f<\/h2>\n<h3>\u8f68\u8ff9\u751f\u6210\uff1a\u4eceA\u70b9\u5230B\u70b9\u7684\u201c\u667a\u80fd\u5bfc\u822a\u201d<\/h3>\n<p>\u4ece\u6839\u672c\u4e0a\u8bf4\uff0c\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\u89e3\u51b3\u7684\u662f\u4e00\u4e2a\u770b\u4f3c\u7b80\u5355\u5374\u6781\u5176\u590d\u6742\u7684\u95ee\u9898\uff1a\u4e00\u4e2a\u7269\u4f53\uff08\u5982\u673a\u68b0\u81c2\u672b\u7aef\u3001\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\uff09\u5982\u4f55\u4ee5\u4e00\u79cd\u53d7\u63a7\u3001\u53ef\u9884\u6d4b\u7684\u65b9\u5f0f\u4ece\u8d77\u70b9\u79fb\u52a8\u5230\u7ec8\u70b9\u3002<\/p>\n<p>\u5982\u679c\u8bf4\u201c\u8def\u5f84\u89c4\u5212\u201d\u56de\u7b54\u4e86\u201c\u53bb\u54ea\u91cc\u201d\u7684\u95ee\u9898\uff0c\u5373\u627e\u5230\u4e00\u6761\u51e0\u4f55\u4e0a\u53ef\u884c\u7684\u7a7a\u95f4\u8def\u5f84\uff0c\u90a3\u4e48\u201c\u8f68\u8ff9\u751f\u6210\u201d\u5219\u56de\u7b54\u4e86\u201c\u5982\u4f55\u53bb\u201d\u7684\u7ec6\u8282\u3002\u5b83\u4e3a\u8fd9\u6761\u8def\u5f84\u6ce8\u5165\u4e86\u65f6\u95f4\u7ef4\u5ea6\uff0c\u7cbe\u786e\u5b9a\u4e49\u4e86\u7269\u4f53\u5728\u6bcf\u4e2a\u65f6\u95f4\u70b9\u7684\u5177\u4f53\u72b6\u6001\uff0c\u5305\u62ec\u4f4d\u7f6e\u3001\u901f\u5ea6\u3001\u52a0\u901f\u5ea6\uff0c\u751a\u81f3\u52a0\u52a0\u901f\u5ea6\uff08Jerk\uff09\u3002\u8fd9\u4e0d\u4ec5\u4ec5\u662f\u4e00\u6761\u7ebf\uff0c\u800c\u662f\u4e00\u5957\u5b8c\u6574\u7684\u8fd0\u52a8\u6307\u4ee4\u96c6\u3002<\/p>\n<h3>\u73b0\u4ee3\u5de5\u4e1a\u4e0e\u524d\u6cbf\u79d1\u6280\u4e0d\u53ef\u6216\u7f3a\u7684\u57fa\u77f3<\/h3>\n<p>\u5728\u7f3a\u4e4f\u6709\u6548\u8f68\u8ff9\u89c4\u5212\u7684\u7cfb\u7edf\u4e2d\uff0c\u8fd0\u52a8\u662f\u7c97\u7cd9\u3001\u4f4e\u6548\u4e14\u5371\u9669\u7684\u3002\u673a\u68b0\u81c2\u53ef\u80fd\u4f1a\u4ee5\u6781\u5927\u7684\u51b2\u51fb\u8fdb\u884c\u542f\u505c\uff0c\u4e0d\u4ec5\u635f\u8017\u81ea\u8eab\u5bff\u547d\uff0c\u66f4\u53ef\u80fd\u635f\u574f\u5de5\u4ef6\uff1b\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\u7684\u52a0\u51cf\u901f\u4f1a\u4ee4\u4e58\u5ba2\u6781\u5ea6\u4e0d\u9002\uff1b\u865a\u62df\u4e16\u754c\u4e2d\u7684\u89d2\u8272\u79fb\u52a8\u4f1a\u663e\u5f97\u50f5\u786c\u4e0d\u81ea\u7136\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u9ad8\u8d28\u91cf\u7684\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\u662f\u5b9e\u73b0\u7cfb\u7edf\u6027\u80fd\u7684\u57fa\u77f3\u3002\u5b83\u76f4\u63a5\u51b3\u5b9a\u4e86\u5de5\u4e1a\u751f\u4ea7\u7684\u8282\u62cd\u65f6\u95f4\u3001\u81ea\u52a8\u9a7e\u9a76\u7684\u5b89\u5168\u6027\u4e0e\u8212\u9002\u6027\u3001\u4ee5\u53ca\u865a\u62df\u4ea4\u4e92\u7684\u771f\u5b9e\u611f\u3002\u53ef\u4ee5\u8bf4\uff0c\u5bf9\u8fd0\u52a8\u8f68\u8ff9\u7684\u7cbe\u7ec6\u5316\u63a7\u5236\u80fd\u529b\uff0c\u662f\u8861\u91cf\u4e00\u4e2a\u667a\u80fd\u7cfb\u7edf\u5148\u8fdb\u4e0e\u5426\u7684\u5173\u952e\u6307\u6807\u3002<\/p>\n<h2>\u6309\u6838\u5fc3\u751f\u6210\u65b9\u6cd5\u5206\u7c7b\uff1a\u4e09\u5927\u4e3b\u6d41\u8f68\u8ff9\u751f\u6210\u6280\u672f<\/h2>\n<p>\u8f68\u8ff9\u751f\u6210\u7684\u65b9\u6cd5\u8bba\u767e\u82b1\u9f50\u653e\uff0c\u4f46\u4ece\u5e95\u5c42\u903b\u8f91\u4e0a\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u5f52\u7eb3\u4e3a\u4e09\u5927\u4e3b\u6d41\u6280\u672f\u8def\u5f84\u3002\u7406\u89e3\u5b83\u4eec\u7684\u5185\u5728\u673a\u7406\u4e0e\u9002\u7528\u8fb9\u754c\uff0c\u662f\u505a\u51fa\u6b63\u786e\u6280\u672f\u9009\u578b\u7684\u524d\u63d0\u3002<\/p>\n<h3>\u57fa\u4e8e\u63d2\u503c\u6cd5\u7684\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\uff1a\u5e73\u6ed1\u4e0e\u9ad8\u6548\u7684\u7ecf\u5178\u9009\u62e9<\/h3>\n<h4>\u6838\u5fc3\u539f\u7406\uff1a\u6837\u6761\u63d2\u503c\uff08Spline Interpolation\uff09<\/h4>\n<p>\u63d2\u503c\u6cd5\u662f\u6700\u4e3a\u7ecf\u5178\u548c\u76f4\u89c2\u7684\u8f68\u8ff9\u751f\u6210\u65b9\u5f0f\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\uff0c\u7ed9\u5b9a\u4e00\u7cfb\u5217\u5fc5\u987b\u7ecf\u8fc7\u7684\u5173\u952e\u8def\u5f84\u70b9\uff08Via-points\uff09\uff0c\u901a\u8fc7\u6570\u5b66\u51fd\u6570\u5c06\u8fd9\u4e9b\u79bb\u6563\u7684\u70b9\u201c\u7f1d\u5408\u201d\u6210\u4e00\u6761\u8fde\u7eed\u3001\u5e73\u6ed1\u7684\u66f2\u7ebf\u3002<\/p>\n<p>\u5728\u5de5\u7a0b\u5b9e\u8df5\u4e2d\uff0c\u591a\u9879\u5f0f\u63d2\u503c\uff0c\u7279\u522b\u662f\u4e09\u6b21\u6837\u6761\uff08Cubic Spline\uff09\u548c\u4e94\u6b21\u6837\u6761\uff08Quintic Spline\uff09\uff0c\u5e94\u7528\u6700\u4e3a\u5e7f\u6cdb\u3002<\/p>\n<ul>\n<li><strong>\u4e09\u6b21\u6837\u6761<\/strong>\u80fd\u591f\u786e\u4fdd\u8f68\u8ff9\u5728\u5173\u952e\u70b9\u4e0a\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6\u8fde\u7eed\uff0c\u8fd9\u610f\u5473\u7740\u8fd0\u52a8\u8fc7\u7a0b\u6ca1\u6709\u77ac\u65f6\u7684\u901f\u5ea6\u8df3\u53d8\uff0c\u4fdd\u8bc1\u4e86\u57fa\u672c\u7684\u5e73\u987a\u6027\u3002<\/li>\n<li><strong>\u4e94\u6b21\u6837\u6761<\/strong>\u5219\u66f4\u8fdb\u4e00\u6b65\uff0c\u80fd\u591f\u540c\u65f6\u4fdd\u8bc1\u4f4d\u7f6e\u3001\u901f\u5ea6\u548c\u52a0\u901f\u5ea6\u7684\u8fde\u7eed\u3002\u52a0\u901f\u5ea6\u7684\u8fde\u7eed\u610f\u5473\u7740\u9a71\u52a8\u5173\u8282\u7684\u529b\u77e9\u662f\u8fde\u7eed\u53d8\u5316\u7684\uff0c\u8fd9\u5bf9\u4e8e\u9ad8\u901f\u3001\u9ad8\u7cbe\u5ea6\u7684\u5e94\u7528\u81f3\u5173\u91cd\u8981\uff0c\u53ef\u4ee5\u663e\u8457\u51cf\u5c11\u673a\u68b0\u51b2\u51fb\u548c\u632f\u52a8\u3002<\/li>\n<\/ul>\n<h4>\u5178\u578b\u8f6f\u4ef6\u4e0e\u5e94\u7528\u573a\u666f<\/h4>\n<ul>\n<li><strong>\u8f6f\u4ef6\u793a\u4f8b\uff1a<\/strong> MATLAB \u7684 Robotics System Toolbox\u2122 \u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6837\u6761\u63d2\u503c\u51fd\u6570\uff0c\u662f\u5b66\u672f\u7814\u7a76\u548c\u7b97\u6cd5\u9a8c\u8bc1\u7684\u5e38\u7528\u5de5\u5177\u3002\u6b64\u5916\uff0c\u51e0\u4e4e\u6240\u6709\u4e3b\u6d41\u5de5\u4e1a\u673a\u5668\u4eba\u5382\u5546\uff08\u5982 KUKA, FANUC, ABB\uff09\u5728\u5176\u81ea\u5e26\u7684\u7f16\u7a0b\u73af\u5883\u4e2d\uff0c\u90fd\u5185\u7f6e\u4e86\u57fa\u4e8e\u6b64\u7c7b\u65b9\u6cd5\u7684\u8fd0\u52a8\u6307\u4ee4\uff0c\u4f8b\u5982 <code>PTP<\/code> (Point-to-Point) \u8fd0\u52a8\u3002<\/li>\n<li><strong>\u5e94\u7528\u573a\u666f\uff1a<\/strong> \u8fd9\u7c7b\u65b9\u6cd5\u975e\u5e38\u9002\u5408\u969c\u788d\u7269\u73af\u5883\u7b80\u5355\u3001\u5bf9\u8fd0\u52a8\u8282\u62cd\u548c\u8f68\u8ff9\u5e73\u6ed1\u5ea6\u8981\u6c42\u6781\u9ad8\u7684\u573a\u666f\u3002\u4f8b\u5982\uff0c\u81ea\u52a8\u5316\u4ea7\u7ebf\u4e0a\u673a\u68b0\u81c2\u7684\u70b9\u5bf9\u70b9\u6293\u53d6\u3001\u642c\u8fd0\u3001\u710a\u63a5\uff0c\u4ee5\u53caCNC\u6570\u63a7\u673a\u5e8a\u6309\u7167\u9884\u5b9aG\u4ee3\u7801\u8fdb\u884c\u7684\u5200\u5177\u8def\u5f84\u89c4\u5212\u3002<\/li>\n<\/ul>\n<h4>\u4f18\u7f3a\u70b9\u5206\u6790<\/h4>\n<ul>\n<li><strong>\u4f18\u70b9\uff1a<\/strong> \u8ba1\u7b97\u91cf\u5c0f\uff0c\u751f\u6210\u901f\u5ea6\u6781\u5feb\uff0c\u53ef\u4ee5\u8f7b\u677e\u5b9e\u73b0\u5b9e\u65f6\u89c4\u5212\u3002\u751f\u6210\u7684\u8f68\u8ff9\u5728\u6570\u5b66\u4e0a\u662f\u5b8c\u7f8e\u7684\u5e73\u6ed1\uff0c\u6613\u4e8e\u5de5\u7a0b\u5b9e\u73b0\u4e0e\u8c03\u8bd5\u3002<\/li>\n<li><strong>\u7f3a\u70b9\uff1a<\/strong> \u5176\u672c\u8d28\u662f\u5728\u5df2\u77e5\u7684\u8def\u5f84\u70b9\u4e4b\u95f4\u8fdb\u884c\u201c\u586b\u5145\u201d\uff0c\u56e0\u6b64\u96be\u4ee5\u4e3b\u52a8\u3001\u667a\u80fd\u5730\u5904\u7406\u590d\u6742\u7684\u52a8\u6001\u969c\u788d\u7269\u3002\u540c\u65f6\uff0c\u5b83\u901a\u5e38\u53ea\u5728\u8fd0\u52a8\u5b66\u5c42\u9762\u8fdb\u884c\u89c4\u5212\uff0c\u8f83\u96be\u76f4\u63a5\u6574\u5408\u673a\u5668\u4eba\u52a8\u529b\u5b66\u3001\u5173\u8282\u529b\u77e9\u7b49\u590d\u6742\u7269\u7406\u7ea6\u675f\u3002<\/li>\n<\/ul>\n<h3>\u57fa\u4e8e\u4f18\u5316\u65b9\u6cd5\u7684\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\uff1a\u8ffd\u6c42\u6781\u81f4\u6027\u80fd\u7684\u7406\u60f3\u65b9\u6848<\/h3>\n<h4>\u6838\u5fc3\u539f\u7406\uff1a\u5c06\u8f68\u8ff9\u89c6\u4e3a\u4e00\u4e2a\u5f85\u89e3\u7684\u4f18\u5316\u95ee\u9898<\/h4>\n<p>\u4e0e\u63d2\u503c\u6cd5\u201c\u8fde\u63a5\u5df2\u77e5\u70b9\u201d\u7684\u601d\u8def\u4e0d\u540c\uff0c\u4f18\u5316\u65b9\u6cd5\u5c06\u8f68\u8ff9\u751f\u6210\u95ee\u9898\u91cd\u65b0\u5b9a\u4e49\u4e3a\u4e00\u4e2a\u6570\u5b66\u4f18\u5316\u95ee\u9898\u3002\u8fd9\u79cd\u65b9\u6cd5\u7684\u903b\u8f91\u662f\uff1a\u6211\u4eec\u671f\u671b\u7684\u8f68\u8ff9\u5e94\u8be5\u5728\u6ee1\u8db3\u4e00\u7cfb\u5217\u201c\u7ea6\u675f\u6761\u4ef6\u201d\u7684\u524d\u63d0\u4e0b\uff0c\u8ba9\u67d0\u4e2a\u201c\u76ee\u6807\u51fd\u6570\u201d\u8fbe\u5230\u6700\u4f18\uff08\u6700\u5927\u6216\u6700\u5c0f\uff09\u3002<\/p>\n<ul>\n<li><strong>\u76ee\u6807\u51fd\u6570\uff08Objective Function\uff09\uff1a<\/strong> \u8fd9\u4ee3\u8868\u4e86\u6211\u4eec\u5e0c\u671b\u8f68\u8ff9\u5177\u5907\u7684\u7279\u6027\u3002\u5e38\u89c1\u7684\u4f18\u5316\u76ee\u6807\u5305\u62ec\u603b\u8fd0\u884c\u65f6\u95f4\u6700\u77ed\u3001\u603b\u80fd\u8017\u6700\u4f4e\u3001\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u7684\u51b2\u51fb\uff08Jerk\uff09\u6700\u5c0f\u5316\u7b49\u3002<\/li>\n<li><strong>\u7ea6\u675f\u6761\u4ef6\uff08Constraints\uff09\uff1a<\/strong> \u8fd9\u4ee3\u8868\u4e86\u7269\u7406\u4e16\u754c\u548c\u4efb\u52a1\u9700\u6c42\u7684\u8fb9\u754c\u3002\u4f8b\u5982\uff0c\u673a\u5668\u4eba\u7684\u6bcf\u4e2a\u5173\u8282\u90fd\u6709\u6700\u5927\u901f\u5ea6\u548c\u52a0\u901f\u5ea6\u9650\u5236\uff1b\u81ea\u52a8\u9a7e\u9a76\u8f66\u8f86\u5fc5\u987b\u4e0e\u524d\u8f66\u4fdd\u6301\u5b89\u5168\u8ddd\u79bb\uff1b\u673a\u68b0\u81c2\u7684\u672b\u7aef\u6267\u884c\u5668\u4e0d\u80fd\u4e0e\u5de5\u4f5c\u53f0\u53d1\u751f\u78b0\u649e\uff1b\u7535\u673a\u7684\u8f93\u51fa\u529b\u77e9\u4e0d\u80fd\u8d85\u8fc7\u5176\u5cf0\u503c\u3002<\/li>\n<\/ul>\n<p>\u89c4\u5212\u5668\u901a\u8fc7\u590d\u6742\u7684\u6570\u503c\u4f18\u5316\u7b97\u6cd5\uff08\u5982\u5e8f\u5217\u4e8c\u6b21\u89c4\u5212SQP\uff09\uff0c\u5728\u5e9e\u5927\u7684\u89e3\u7a7a\u95f4\u4e2d\u641c\u7d22\uff0c\u8bd5\u56fe\u627e\u5230\u4e00\u6761\u80fd\u591f\u6ee1\u8db3\u6240\u6709\u7ea6\u675f\u5e76\u4f7f\u76ee\u6807\u51fd\u6570\u6700\u4f18\u7684\u8f68\u8ff9\u3002<\/p>\n<h4>\u5178\u578b\u8f6f\u4ef6\u4e0e\u6280\u672f<\/h4>\n<ul>\n<li><strong>\u6280\u672f\u4ee3\u8868\uff1a<\/strong> CHOMP (Covariant Hamiltonian Optimization for Motion Planning)\u3001STOMP (Stochastic Trajectory Optimization for Motion Planning) \u548c TrajOpt \u90fd\u662f\u8be5\u9886\u57df\u7684\u77e5\u540d\u7b97\u6cd5\u3002\u5b83\u4eec\u901a\u8fc7\u4e0d\u540c\u7684\u6570\u5b66\u624b\u6bb5\u6765\u8fed\u4ee3\u6539\u8fdb\u8f68\u8ff9\uff0c\u4f7f\u5176\u9010\u6b65\u903c\u8fd1\u6700\u4f18\u89e3\u3002<\/li>\n<li><strong>\u8f6f\u4ef6\u793a\u4f8b\uff1a<\/strong> ROS MoveIt! \u6846\u67b6\u4e2d\u96c6\u6210\u4e86\u591a\u79cd\u57fa\u4e8e\u4f18\u5316\u7684\u89c4\u5212\u5668\uff0c\u4e3a\u5f00\u53d1\u8005\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u5de5\u5177\u3002\u5728\u81ea\u52a8\u9a7e\u9a76\u9886\u57df\uff0c\u51e0\u4e4e\u6240\u6709\u4e3b\u6d41\u7684\u89c4\u5212\u6a21\u5757\uff08\u5982\u767e\u5ea6\u7684Apollo\uff09\u90fd\u6df1\u5ea6\u5e94\u7528\u4e86\u4f18\u5316\u7406\u8bba\uff0c\u4ee5\u751f\u6210\u65e2\u5b89\u5168\u53c8\u8212\u9002\u7684\u884c\u8f66\u8f68\u8ff9\u3002<\/li>\n<\/ul>\n<h4>\u4f18\u7f3a\u70b9\u5206\u6790<\/h4>\n<ul>\n<li><strong>\u4f18\u70b9\uff1a<\/strong> \u8fd9\u662f\u76ee\u524d\u5904\u7406\u590d\u6742\u7ea6\u675f\uff08\u7279\u522b\u662f\u52a8\u529b\u5b66\u7ea6\u675f\u548c\u9ad8\u7ea7\u907f\u969c\uff09\u6700\u6709\u6548\u7684\u8303\u5f0f\u3002\u5b83\u80fd\u591f\u751f\u6210\u7406\u8bba\u4e0a\u201c\u6700\u4f18\u201d\u6216\u63a5\u8fd1\u6700\u4f18\u7684\u8f68\u8ff9\uff0c\u6700\u5927\u5316\u7cfb\u7edf\u6027\u80fd\u3002<\/li>\n<li><strong>\u7f3a\u70b9\uff1a<\/strong> \u6838\u5fc3\u6311\u6218\u5728\u4e8e\u5de8\u5927\u7684\u8ba1\u7b97\u91cf\u3002\u6784\u5efa\u548c\u6c42\u89e3\u4e00\u4e2a\u975e\u7ebf\u6027\u3001\u9ad8\u7ef4\u5ea6\u7684\u4f18\u5316\u95ee\u9898\u975e\u5e38\u8017\u65f6\uff0c\u5bf9\u4e8e\u5b9e\u65f6\u6027\u8981\u6c42\u6781\u9ad8\u7684\u573a\u666f\uff08\u5982\u7d27\u6025\u907f\u969c\uff09\u53ef\u80fd\u6210\u4e3a\u74f6\u9888\u3002<\/li>\n<\/ul>\n<h3>\u57fa\u4e8e\u968f\u673a\u91c7\u6837\u7b97\u6cd5\u7684\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\uff1a\u5e94\u5bf9\u590d\u6742\u73af\u5883\u7684\u63a2\u7d22\u8005<\/h3>\n<h4>\u6838\u5fc3\u539f\u7406\uff1a\u5728\u72b6\u6001\u7a7a\u95f4\u4e2d\u8fdb\u884c\u6982\u7387\u6027\u63a2\u7d22<\/h4>\n<p>\u5f53\u673a\u5668\u4eba\u6240\u5904\u7684\u73af\u5883\u6781\u5176\u590d\u6742\uff0c\u969c\u788d\u7269\u5206\u5e03\u6beb\u65e0\u89c4\u5f8b\uff0c\u751a\u81f3\u5b58\u5728\u72ed\u7a84\u901a\u9053\u65f6\uff0c\u524d\u4e24\u79cd\u65b9\u6cd5\u53ef\u80fd\u4f1a\u56e0\u4e3a\u8ba1\u7b97\u91cf\u8fc7\u5927\u6216\u6839\u672c\u627e\u4e0d\u5230\u89e3\u800c\u5931\u6548\u3002\u6b64\u65f6\uff0c\u57fa\u4e8e\u968f\u673a\u91c7\u6837\u7684\u7b97\u6cd5\u4fbf\u5c55\u73b0\u51fa\u5176\u72ec\u7279\u7684\u4f18\u52bf\u3002<\/p>\n<p>\u8fd9\u7c7b\u7b97\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\u662f\u201c\u653e\u5f03\u201d\u5bfb\u627e\u5168\u5c40\u6700\u4f18\u89e3\u7684\u6267\u5ff5\uff0c\u8f6c\u800c\u901a\u8fc7\u6982\u7387\u6027\u7684\u65b9\u5f0f\u5feb\u901f\u63a2\u7d22\u6574\u4e2a\u72b6\u6001\u7a7a\u95f4\uff0c\u4ee5\u627e\u5230\u4e00\u6761\u201c\u53ef\u884c\u201d\u7684\u8def\u5f84\u3002<\/p>\n<ul>\n<li><strong>RRT (\u5feb\u901f\u6269\u5c55\u968f\u673a\u6811):<\/strong> \u4ece\u8d77\u70b9\u5f00\u59cb\uff0c\u968f\u673a\u5728\u7a7a\u95f4\u4e2d\u201c\u751f\u957f\u201d\u4e00\u68f5\u6811\uff0c\u6811\u7684\u8282\u70b9\u4ee3\u8868\u4e86\u673a\u5668\u4eba\u53ef\u80fd\u7684\u72b6\u6001\u3002\u5f53\u6811\u7684\u67d0\u4e2a\u5206\u652f\u89e6\u53ca\u76ee\u6807\u533a\u57df\u65f6\uff0c\u4e00\u6761\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u7684\u8def\u5f84\u4fbf\u88ab\u627e\u5230\u4e86\u3002RRT* (RRT star) \u662f\u5176\u4f18\u5316\u7248\u672c\uff0c\u80fd\u591f\u5728\u627e\u5230\u8def\u5f84\u540e\u7ee7\u7eed\u4f18\u5316\uff0c\u4f7f\u5176\u9010\u6b65\u6536\u655b\u5230\u66f4\u4f18\u7684\u89e3\u3002<\/li>\n<li><strong>PRM (\u6982\u7387\u8def\u56fe):<\/strong> \u5148\u5728\u7a7a\u95f4\u4e2d\u968f\u673a\u6492\u4e0b\u5927\u91cf\u8282\u70b9\uff0c\u5e76\u5c1d\u8bd5\u8fde\u63a5\u90bb\u8fd1\u4e14\u65e0\u78b0\u649e\u7684\u8282\u70b9\u5bf9\uff0c\u6784\u5efa\u4e00\u5f20\u201c\u8def\u56fe\u201d\u3002\u89c4\u5212\u65f6\uff0c\u53ea\u9700\u5728\u8fd9\u5f20\u9884\u5148\u6784\u5efa\u597d\u7684\u56fe\u4e0a\u4f7f\u7528\u56fe\u641c\u7d22\u7b97\u6cd5\uff08\u5982A*\uff09\u5bfb\u627e\u8def\u5f84\u5373\u53ef\u3002<\/li>\n<\/ul>\n<p>\u9700\u8981\u5f3a\u8c03\u7684\u662f\uff0c\u8fd9\u4e9b\u7b97\u6cd5\u76f4\u63a5\u751f\u6210\u7684\u662f\u4e00\u6761\u51e0\u4f55\u8def\u5f84\uff0c\u800c\u975e\u5e73\u6ed1\u8f68\u8ff9\u3002\u56e0\u6b64\uff0c\u901a\u5e38\u9700\u8981\u4e00\u4e2a\u540e\u5904\u7406\u6b65\u9aa4\uff0c\u4f8b\u5982\u4f7f\u7528\u6837\u6761\u63d2\u503c\u5bf9\u8def\u5f84\u70b9\u8fdb\u884c\u5e73\u6ed1\u5904\u7406\uff0c\u6700\u7ec8\u751f\u6210\u53ef\u6267\u884c\u7684\u8f68\u8ff9\u3002<\/p>\n<h4>\u5178\u578b\u8f6f\u4ef6\u4e0e\u5e94\u7528<\/h4>\n<ul>\n<li><strong>\u8f6f\u4ef6\u793a\u4f8b\uff1a<\/strong> OMPL (The Open Motion Planning Library) \u662f\u4e00\u4e2a\u5f00\u6e90\u3001\u5f3a\u5927\u3001\u5305\u542b\u4e86\u5927\u91cf\u968f\u673a\u91c7\u6837\u89c4\u5212\u7b97\u6cd5\u7684\u5e93\uff0c\u5b83\u4e5f\u662f ROS MoveIt! \u7684\u9ed8\u8ba4\u89c4\u5212\u5e93\u3002<\/li>\n<li><strong>\u5e94\u7528\u573a\u666f\uff1a<\/strong> \u5b83\u4eec\u662f\u89e3\u51b3\u9ad8\u7ef4\u5ea6\uff08\u5982\u4e03\u81ea\u7531\u5ea6\u4ee5\u4e0a\u7684\u673a\u68b0\u81c2\uff09\u3001\u975e\u51f8\uff08\u73af\u5883\u590d\u6742\uff09\u7a7a\u95f4\u4e2d\u907f\u969c\u95ee\u9898\u7684\u5229\u5668\u3002\u5178\u578b\u7684\u5e94\u7528\u5305\u62ec\u5728\u6742\u4e71\u65e0\u7ae0\u7684\u4ed3\u5e93\u4e2d\u8fdb\u884c\u673a\u68b0\u81c2\u62e3\u9009\u3001\u65e0\u4eba\u673a\u5728\u68ee\u6797\u6216\u57ce\u5e02\u5ce1\u8c37\u4e2d\u7684\u81ea\u4e3b\u5bfc\u822a\u3002<\/li>\n<\/ul>\n<h4>\u4f18\u7f3a\u70b9\u5206\u6790<\/h4>\n<ul>\n<li><strong>\u4f18\u70b9\uff1a<\/strong> \u5728\u5904\u7406\u9ad8\u7ef4\u5ea6\u3001\u5f3a\u7ea6\u675f\u3001\u73af\u5883\u6781\u5176\u590d\u6742\u7684\u89c4\u5212\u95ee\u9898\u65f6\uff0c\u5177\u6709\u6982\u7387\u5b8c\u5907\u6027\uff0c\u5373\u53ea\u8981\u89e3\u5b58\u5728\uff0c\u82b1\u8d39\u8db3\u591f\u65f6\u95f4\u603b\u80fd\u627e\u5230\u3002<\/li>\n<li><strong>\u7f3a\u70b9\uff1a<\/strong> \u7b97\u6cd5\u5177\u6709\u968f\u673a\u6027\uff0c\u4e24\u6b21\u8fd0\u884c\u7ed3\u679c\u53ef\u80fd\u4e0d\u540c\u3002\u65e0\u6cd5\u4fdd\u8bc1\u627e\u5230\u6700\u4f18\u8def\u5f84\uff08\u5c3d\u7ba1RRT*\u6709\u6240\u6539\u5584\uff09\u3002\u751f\u6210\u7684\u539f\u59cb\u8def\u5f84\u901a\u5e38\u662f\u6298\u7ebf\uff0c\u4e0d\u5e73\u6ed1\uff0c\u5fc5\u987b\u8fdb\u884c\u540e\u5904\u7406\u624d\u80fd\u4f7f\u7528\u3002<\/li>\n<\/ul>\n<h2>\u6a2a\u5411\u5bf9\u6bd4\uff1a\u5982\u4f55\u9009\u62e9\u6700\u9002\u5408\u4f60\u7684\u8f68\u8ff9\u751f\u6210\u65b9\u6cd5\uff1f<\/h2>\n<p>\u4e3a\u4e86\u66f4\u76f4\u89c2\u5730\u7406\u89e3\u4e09\u7c7b\u65b9\u6cd5\u7684\u5dee\u5f02\u4e0e\u6743\u8861\uff0c\u6211\u4eec\u53ef\u4ee5\u4ece\u56db\u4e2a\u5173\u952e\u7ef4\u5ea6\u8fdb\u884c\u5bf9\u6bd4\u3002\u8fd9\u5e76\u975e\u4e00\u4e2a\u7edd\u5bf9\u7684\u8bc4\u5224\uff0c\u800c\u662f\u4e00\u4e2a\u5e2e\u52a9\u60a8\u6839\u636e\u9879\u76ee\u9700\u6c42\u8fdb\u884c\u601d\u8003\u7684\u6846\u67b6\u3002<\/p>\n<table>\n<thead>\n<tr>\n<th align=\"left\">\u5bf9\u6bd4\u7ef4\u5ea6<\/th>\n<th align=\"left\">\u57fa\u4e8e\u63d2\u503c\u6cd5<\/th>\n<th align=\"left\">\u57fa\u4e8e\u4f18\u5316\u65b9\u6cd5<\/th>\n<th align=\"left\">\u57fa\u4e8e\u968f\u673a\u91c7\u6837\u6cd5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td align=\"left\"><strong>\u8ba1\u7b97\u6548\u7387<\/strong><\/td>\n<td align=\"left\">\u9ad8 (\u5b9e\u65f6\u6027\u597d)<\/td>\n<td align=\"left\">\u4f4e (\u8ba1\u7b97\u5bc6\u96c6)<\/td>\n<td align=\"left\">\u4e2d (\u53d7\u73af\u5883\u590d\u6742\u5ea6\u5f71\u54cd)<\/td>\n<\/tr>\n<tr>\n<td align=\"left\"><strong>\u8f68\u8ff9\u6700\u4f18\u6027<\/strong><\/td>\n<td align=\"left\">\u4f4e (\u4ec5\u5728\u7ed9\u5b9a\u70b9\u95f4\u5e73\u6ed1)<\/td>\n<td align=\"left\">\u9ad8 (\u53ef\u9488\u5bf9\u7279\u5b9a\u76ee\u6807\u4f18\u5316)<\/td>\n<td align=\"left\">\u4e2d (RRT*\u53ef\u903c\u8fd1\u6700\u4f18)<\/td>\n<\/tr>\n<tr>\n<td align=\"left\"><strong>\u7ea6\u675f\u5904\u7406\u80fd\u529b<\/strong><\/td>\n<td align=\"left\">\u5f31 (\u4e3b\u8981\u5904\u7406\u8fd0\u52a8\u5b66\u7ea6\u675f)<\/td>\n<td align=\"left\">\u5f3a (\u53ef\u5904\u7406\u52a8\u529b\u5b66\u3001\u907f\u969c\u7b49\u590d\u6742\u7ea6\u675f)<\/td>\n<td align=\"left\">\u4e2d (\u4e3b\u8981\u5904\u7406\u9759\u6001\u907f\u969c\u7ea6\u675f)<\/td>\n<\/tr>\n<tr>\n<td align=\"left\"><strong>\u73af\u5883\u590d\u6742\u5ea6\u9002\u5e94\u6027<\/strong><\/td>\n<td align=\"left\">\u5f31 (\u9002\u7528\u4e8e\u7b80\u5355\u6216\u65e0\u969c\u788d\u73af\u5883)<\/td>\n<td align=\"left\">\u4e2d (\u53ef\u5904\u7406\u4e2d\u7b49\u590d\u6742\u5ea6\u7684\u969c\u788d\u7269)<\/td>\n<td align=\"left\">\u5f3a (\u9ad8\u7ef4\u3001\u590d\u6742\u73af\u5883\u7684\u5229\u5668)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u5173\u952e\u5e94\u7528\u9886\u57df\u4e2d\u7684\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\u5b9e\u8df5<\/h2>\n<p>\u7406\u8bba\u6700\u7ec8\u8981\u670d\u52a1\u4e8e\u5b9e\u8df5\u3002\u5728\u4e0d\u540c\u7684\u5e94\u7528\u9886\u57df\uff0c\u5bf9\u8f68\u8ff9\u751f\u6210\u7684\u6838\u5fc3\u8bc9\u6c42\u548c\u6280\u672f\u9009\u578b\u4e5f\u5448\u73b0\u51fa\u9c9c\u660e\u7684\u5dee\u5f02\u3002<\/p>\n<h3>\u5de5\u4e1a\u673a\u5668\u4eba\u4e0e\u81ea\u52a8\u5316\uff1a\u805a\u7126\u6548\u7387\u4e0e\u7cbe\u5ea6<\/h3>\n<ul>\n<li><strong>\u8f6f\u4ef6\u751f\u6001\uff1a<\/strong> ROS MoveIt! (\u7075\u6d3b\u6027\u9ad8), KUKA.prc (Grasshopper\u63d2\u4ef6), ABB RobotStudio (\u79bb\u7ebf\u7f16\u7a0b\u4e0e\u4eff\u771f), \u4ee5\u53ca\u5404\u5927\u5382\u5546\u7684\u63a7\u5236\u5668\u5185\u7f6e\u6307\u4ee4\u3002<\/li>\n<li><strong>\u6838\u5fc3\u8bc9\u6c42\uff1a<\/strong> \u5728\u5de5\u4e1a\u573a\u666f\uff0c\u65f6\u95f4\u5c31\u662f\u6210\u672c\u3002\u56e0\u6b64\uff0c\u5bf9<strong>\u6700\u77ed\u8282\u62cd\u65f6\u95f4<\/strong>\u548c<strong>\u9ad8\u91cd\u590d\u5b9a\u4f4d\u7cbe\u5ea6<\/strong>\u7684\u8ffd\u6c42\u662f\u7b2c\u4e00\u4f4d\u7684\u3002\u540c\u65f6\uff0c\u4e3a\u4e86\u4fdd\u62a4\u8bbe\u5907\u548c\u5de5\u4ef6\uff0c<strong>\u8fd0\u52a8\u7684\u5e73\u987a\u6027<\/strong>\uff08\u4f4e\u51b2\u51fb\uff09\u4e5f\u81f3\u5173\u91cd\u8981\u3002\u8fd9\u4f7f\u5f97\u8ba1\u7b97\u9ad8\u6548\u3001\u8f68\u8ff9\u5e73\u6ed1\u7684<strong>\u63d2\u503c\u6cd5<\/strong>\u6210\u4e3a\u4e3b\u6d41\u9009\u62e9\u3002<\/li>\n<\/ul>\n<h3>\u81ea\u52a8\u9a7e\u9a76\uff1a\u5b89\u5168\u662f\u7b2c\u4e00\u51c6\u5219<\/h3>\n<ul>\n<li><strong>\u8f6f\u4ef6\u751f\u6001\uff1a<\/strong> Apollo (\u767e\u5ea6\u963f\u6ce2\u7f57), Autoware (\u5f00\u6e90), Waymo\/Cruise\/Tesla\u7b49\u5404\u5927\u5382\u5546\u7684\u81ea\u7814\u8f6f\u4ef6\u6808\u3002<\/li>\n<li><strong>\u6838\u5fc3\u8bc9\u6c42\uff1a<\/strong> \u81ea\u52a8\u9a7e\u9a76\u7684\u89c4\u5212\u6a21\u5757\u662f\u4e00\u4e2a\u6781\u5176\u590d\u6742\u7684\u7cfb\u7edf\u3002<strong>\u52a8\u6001\u907f\u969c<\/strong>\u662f\u9996\u8981\u524d\u63d0\uff0c\u5fc5\u987b\u80fd\u591f\u5b9e\u65f6\u54cd\u5e94\u5468\u56f4\u8f66\u8f86\u3001\u884c\u4eba\u7684\u53d8\u5316\u3002\u5176\u6b21\uff0c<strong>\u4e58\u5750\u8212\u9002\u6027<\/strong>\u662f\u51b3\u5b9a\u7528\u6237\u4f53\u9a8c\u7684\u5173\u952e\uff0c\u8fd9\u610f\u5473\u7740\u9700\u8981\u4e25\u683c\u63a7\u5236\u52a0\u901f\u5ea6\u548c\u52a0\u52a0\u901f\u5ea6\u3002\u6b64\u5916\uff0c\u8f68\u8ff9\u8fd8\u5fc5\u987b<strong>\u9075\u5b88\u4ea4\u901a\u89c4\u5219<\/strong>\u3002\u8fd9\u4e9b\u590d\u6742\u3001\u591a\u6837\u7684\u7ea6\u675f\u4f7f\u5f97<strong>\u57fa\u4e8e\u4f18\u5316\u7684\u65b9\u6cd5<\/strong>\u6210\u4e3a\u8be5\u9886\u57df\u4e0d\u53ef\u6216\u7f3a\u7684\u6838\u5fc3\u6280\u672f\u3002<\/li>\n<\/ul>\n<h3>\u6e38\u620f\u5f00\u53d1\u4e0e\u865a\u62df\u73b0\u5b9e\uff1a\u8ffd\u6c42\u771f\u5b9e\u611f\u4e0e\u5b9e\u65f6\u6027<\/h3>\n<ul>\n<li><strong>\u8f6f\u4ef6\u751f\u6001\uff1a<\/strong> Unity (Navigation System), Unreal Engine (AI Navigation)\u3002<\/li>\n<li><strong>\u6838\u5fc3\u8bc9\u6c42\uff1a<\/strong> \u5728\u6e38\u620f\u548cVR\u4e16\u754c\u4e2d\uff0c\u6838\u5fc3\u662f\u4e3a\u6210\u767e\u4e0a\u5343\u4e2aAI\u89d2\u8272\uff08NPC\uff09\u89c4\u5212\u8def\u5f84\uff0c\u4f7f\u5176\u8fd0\u52a8\u770b\u8d77\u6765<strong>\u81ea\u7136\u3001\u4e0d\u5446\u677f<\/strong>\u3002\u540c\u65f6\uff0c\u8fd9\u4e00\u5207\u90fd\u5fc5\u987b\u5728\u6781\u9ad8\u7684\u5e27\u7387\u4e0b<strong>\u5b9e\u65f6\u5b8c\u6210<\/strong>\u3002\u8fd9\u4f7f\u5f97\u7ecf\u8fc7\u9ad8\u5ea6\u5de5\u7a0b\u4f18\u5316\u7684\u56fe\u641c\u7d22\u7b97\u6cd5\uff08\u5982A*\uff09\u548c<strong>\u968f\u673a\u91c7\u6837\u7b97\u6cd5<\/strong>\uff08\u7528\u4e8e\u590d\u6742\u5730\u5f62\uff09\u6210\u4e3a\u4e3b\u6d41\u6280\u672f\u6808\u3002<\/li>\n<\/ul>\n<h2>\u5e38\u89c1\u95ee\u9898\u89e3\u7b54 (FAQ)<\/h2>\n<h3>Q1: \u8f68\u8ff9\u89c4\u5212 (Trajectory Planning) \u4e0e\u8def\u5f84\u89c4\u5212 (Path Planning) \u6709\u4ec0\u4e48\u672c\u8d28\u533a\u522b\uff1f<\/h3>\n<ul>\n<li><strong>\u8def\u5f84\u89c4\u5212 (Path Planning)\uff1a<\/strong> \u66f4\u5173\u6ce8\u51e0\u4f55\u5c42\u9762\u3002\u5b83\u7684\u4efb\u52a1\u662f\u627e\u5230\u4e00\u6761\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u4e0d\u4e0e\u969c\u788d\u7269\u53d1\u751f\u78b0\u649e\u7684\u51e0\u4f55\u8def\u5f84\uff0c\u901a\u5e38\u8868\u73b0\u4e3a\u4e00\u7cfb\u5217\u7a7a\u95f4\u5750\u6807\u70b9\u3002\u5b83\u56de\u7b54\u7684\u662f\u201c<strong>\u53bb\u54ea\u91cc<\/strong>\u201d\uff08Where\uff09\u3002<\/li>\n<li><strong>\u8f68\u8ff9\u89c4\u5212 (Trajectory Planning)\uff1a<\/strong> \u5728\u8def\u5f84\u7684\u57fa\u7840\u4e0a\uff0c\u52a0\u5165\u4e86\u65f6\u95f4\u7ef4\u5ea6\u3002\u5b83\u4e3a\u8def\u5f84\u4e0a\u7684\u6bcf\u4e00\u70b9\u90fd\u5206\u914d\u4e86\u65f6\u95f4\u6233\uff0c\u5e76\u89c4\u5212\u4e86\u8be5\u65f6\u523b\u7684\u901f\u5ea6\u3001\u52a0\u901f\u5ea6\u7b49\u72b6\u6001\u3002\u5b83\u56de\u7b54\u7684\u662f\u201c<strong>\u5982\u4f55\u53bb<\/strong>\u201d\uff08How\uff09\u3002\u4e00\u6761\u8def\u5f84\u53ef\u4ee5\u5bf9\u5e94\u65e0\u6570\u6761\u8f68\u8ff9\uff08\u4f8b\u5982\uff0c\u8d70\u5f97\u5feb\u6216\u8d70\u5f97\u6162\uff09\u3002<\/li>\n<\/ul>\n<h3>Q2: \u5f00\u6e90\u7684\u8f68\u8ff9\u751f\u6210\u8f6f\u4ef6\uff08\u5982ROS MoveIt!\uff09\u548c\u5546\u4e1a\u8f6f\u4ef6\uff08\u5982MATLAB\uff09\u5e94\u8be5\u5982\u4f55\u9009\u62e9\uff1f<\/h3>\n<ul>\n<li><strong>\u5f00\u6e90\u8f6f\u4ef6 (ROS MoveIt!)\uff1a<\/strong> \u4f18\u70b9\u5728\u4e8e\u514d\u8d39\u3001\u4ee3\u7801\u5f00\u653e\u3001\u793e\u533a\u751f\u6001\u5e9e\u5927\uff0c\u63d0\u4f9b\u4e86\u6781\u9ad8\u7684\u7075\u6d3b\u6027\u548c\u53ef\u5b9a\u5236\u6027\u3002\u7f3a\u70b9\u662f\u5b66\u4e60\u66f2\u7ebf\u76f8\u5bf9\u9661\u5ced\uff0c\u901a\u5e38\u9700\u8981\u5f00\u53d1\u8005\u81ea\u884c\u8fdb\u884c\u5927\u91cf\u7684\u96c6\u6210\u3001\u914d\u7f6e\u548c\u8c03\u8bd5\u5de5\u4f5c\uff0c\u7a33\u5b9a\u6027\u548c\u6280\u672f\u652f\u6301\u4f9d\u8d56\u4e8e\u793e\u533a\u3002<\/li>\n<li><strong>\u5546\u4e1a\u8f6f\u4ef6 (MATLAB)\uff1a<\/strong> \u4f18\u70b9\u662f\u63d0\u4f9b\u4e86\u7ecf\u8fc7\u4e25\u683c\u6d4b\u8bd5\u7684\u6210\u719f\u5de5\u5177\u7bb1\u3001\u8be6\u5c3d\u7684\u5b98\u65b9\u6587\u6863\u548c\u4e13\u4e1a\u7684\u6280\u672f\u652f\u6301\uff0c\u5f00\u53d1\u6548\u7387\u9ad8\uff0c\u53ef\u9760\u6027\u6709\u4fdd\u969c\u3002\u7f3a\u70b9\u662f\u6388\u6743\u8d39\u7528\u9ad8\u6602\uff0c\u5bf9\u4e8e\u4ee3\u7801\u7684\u63a7\u5236\u548c\u4fee\u6539\u81ea\u7531\u5ea6\u76f8\u5bf9\u8f83\u4f4e\u3002<\/li>\n<li><strong>\u9009\u62e9\u5efa\u8bae\uff1a<\/strong> \u5b66\u672f\u7814\u7a76\u3001\u521d\u521b\u56e2\u961f\u6216\u9700\u8981\u6df1\u5ea6\u5b9a\u5236\u7684\u9879\u76ee\uff0c\u5f00\u6e90\u8f6f\u4ef6\u662f\u7406\u60f3\u7684\u8d77\u70b9\u3002\u800c\u5bf9\u4e8e\u8ffd\u6c42\u5f00\u53d1\u6548\u7387\u3001\u53ef\u9760\u6027\u548c\u9700\u8981\u4e13\u4e1a\u652f\u6301\u7684\u5546\u4e1a\u9879\u76ee\uff0c\u5546\u4e1a\u8f6f\u4ef6\u901a\u5e38\u662f\u66f4\u7a33\u59a5\u7684\u9009\u62e9\u3002<\/li>\n<\/ul>\n<h3>Q3: \u52a8\u529b\u5b66\u89c4\u5212 (Dynamic Planning) \u548c\u8fd0\u52a8\u5b66\u89c4\u5212 (Kinematic Planning) \u7684\u4e3b\u8981\u5dee\u5f02\u662f\u4ec0\u4e48\uff1f<\/h3>\n<ul>\n<li><strong>\u8fd0\u52a8\u5b66\u89c4\u5212 (Kinematic Planning)\uff1a<\/strong> \u5c06\u673a\u5668\u4eba\u6216\u8f66\u8f86\u89c6\u4e3a\u4e00\u4e2a\u7eaf\u7cb9\u7684\u51e0\u4f55\u4f53\uff0c\u53ea\u8003\u8651\u5176\u4f4d\u7f6e\u3001\u901f\u5ea6\u3001\u52a0\u901f\u5ea6\u7b49\u8fd0\u52a8\u5c5e\u6027\uff0c\u800c\u4e0d\u5173\u5fc3\u662f\u4ec0\u4e48\u5bfc\u81f4\u4e86\u8fd9\u4e9b\u8fd0\u52a8\u3002\u5b83\u5047\u8bbe\u6267\u884c\u5668\uff08\u5982\u7535\u673a\uff09\u62e5\u6709\u65e0\u7a77\u5927\u7684\u529b\u91cf\uff0c\u53ef\u4ee5\u5b8c\u7f8e\u6267\u884c\u4efb\u4f55\u6307\u4ee4\u3002<\/li>\n<li><strong>\u52a8\u529b\u5b66\u89c4\u5212 (Dynamic Planning)\uff1a<\/strong> \u5219\u6df1\u5165\u5230\u7269\u7406\u5c42\u9762\u3002\u5b83\u4f1a\u5efa\u7acb\u5bf9\u8c61\u7684\u52a8\u529b\u5b66\u6a21\u578b\uff0c\u8003\u8651\u5176\u8d28\u91cf\u3001\u60ef\u6027\u3001\u6469\u64e6\u529b\uff0c\u4ee5\u53ca\u6267\u884c\u5668\u7684\u529b\u77e9\/\u529b\u8f93\u51fa\u9650\u5236\u3002\u89c4\u5212\u51fa\u7684\u8f68\u8ff9\u4e0d\u4ec5\u5728\u51e0\u4f55\u4e0a\u53ef\u884c\uff0c\u66f4\u5728\u7269\u7406\u4e0a\u662f\u53ef\u6267\u884c\u7684\u3002\u5728\u9ad8\u6027\u80fd\u5e94\u7528\u4e2d\uff0c\u8003\u8651\u52a8\u529b\u5b66\u7684\u89c4\u5212\u81f3\u5173\u91cd\u8981\u3002<\/li>\n<\/ul>\n<h3>Q4: \u672a\u6765\u7684\u8f68\u8ff9\u751f\u6210\u6280\u672f\u6709\u54ea\u4e9b\u53d1\u5c55\u8d8b\u52bf\uff1f<\/h3>\n<ul>\n<li><strong>\u673a\u5668\u5b66\u4e60\u4e0eAI\u9a71\u52a8\uff1a<\/strong> 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