不确定线性系统LQ 设计的鲁棒性分析

针对不确定线性系统，研究LQ设计的鲁棒最优性分析问题。在建立Riccati方程和频域传递子数矩阵关系的基础上，给出了不确定闭环系统鲁棒最优的一个充分条件。对结构和非结构不确定系统，分别给出了LQ控制系统的鲁棒最优性分析方法，进一步给出了改进结构不确定系统鲁棒最优性的一种优化方法。实例分析及仿真结果表明了所给结论的正确性和有效性。

Robustness Analysis of LQ Design for Uncertain Linear Systems

The robustness of LQ design for uncertain linear systems is discussed. Sufficient conditions are given to guarantee the uncertain closed loop systems robust optimal. In addition, robustness analysis approaches of LQ design for structured and unstructured uncertain systems are proposed respectively. Furthermore, an approach of improving the robustness for structured uncertain systems with LQ design is presented. The corresponding simulation results show the correctness and effectivity of the proposed method.