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基于LQR的倒立摆最优控制系统研究
Research on an inverted pendulum optimal control system based on LQR
【摘要】 基于LQR对单级倒立摆进行了最优控制系统设计,并针对LQR最优控制中加权矩阵Q和R难以确定的问题,进行了倒立摆实验研究与分析,找出了倒立摆系统的动态响应与Q和R阵之间遵循的基本规律。实验结果显示了该结论的正确性和实用性,也为在利用该方法进行其它控制系统的设计中Q和R的选取提供了参考。
【Abstract】 An LQR-based on single inverted pendulums optimal control system is designed.The paper makes a study and analysis of the weighted matrix Q and R through some inverted pendulum experiments to determine the Q and R.The basic laws have been found out between the system response performance and the matrix Q and R.The experimental results show that the conclusion is right and practical,thus providing references for choosing the Q and R to design other control systems.
【基金】 天津市科技发展重点基金资助项目(033803111)。
- 【文献出处】 工业仪表与自动化装置 ,Industrial Instrumentation & Automation , 编辑部邮箱 ,2005年03期
- 【分类号】TP273.5
- 【被引频次】134
- 【下载频次】3502