广义线性变参数系统输出反馈鲁棒控制

Output Feedback Robust Control of Singular Linear Parameter Varying Systems

广义线性变参数系统能更准确描述物理系统且是完成增益调节控制的关键.本文研究广义线性变参数系统的鲁棒性能分析和输出反馈鲁棒控制问题.首先采用广义Lyapunov不等式方法分析了系统的容许性和H∞范数,给出了基于线性矩阵不等式的容许和鲁棒性能条件;然后讨论了广义线性变参数系统H∞鲁棒控制器的存在性,通过求解代数Riccati方程给出了输出反馈鲁棒控制器构造方法.

Singular linear parameter varying systems （SLPVS） can present the physical systems precisely and are the key to solve the gain-scheduling control.In this paper,the robust performance analysis and robust control of SLPVS is investigated.First,the admission and H∞ norm of the system is discussed based on the general Lyapunov inequation.The linear matrix inequation conditions are given for the admission and robustness of SLPVS.Then,the existence of robust controller of the system is addressed.The construction of the output feedback robust controller is put forward via solving the algebraic Riccati equations.