线性最优控制系统鲁棒性分析

Analysis of Robustness of the Optimal Linear System

最优控制设计中所采用的数学模型与实际系统总有一定差别 ,据此设计出的控制参数与实际并不完全相符 .针对这一问题 ,提出了分析线性最优控制系统稳定鲁棒性的一种方法 .利用Matlab的专用控制函数工具 ,分析了系统中某些环节时间常数、放大倍数等参数变动以及加权矩阵的选择对系统鲁棒性的影响 .仿真结果表明 ,该方法可具体分析出每个局部对系统稳定性的影响程度 ,有利于进行系统维护 ,保证系统安全 .

The paper proposes a method of analyzing the robustness of the optimal linear system with the view of solving the problem that the control parameters don't meet the necessity of the practical system because the mathematical model adopted in the design of the optimal control system is different from the practical system. It analyzes the effects of the robustness that certain parameter shifts including time constant and enlargement factor and the choice of weighted matrix in certain segment cause The simulation results show that it can analyze specifically to what degree that each part influences the whole system and it is in favor of the system maintenance and safety.