不确定线性离散切换系统带有状态重置的输出反馈鲁棒l_2-l_∞控制器设计

Robust l_2-l_∞ Output Feedback Controller Design for Linear Uncertain Discrete-Time Switched Systems via State Reset

研究了一类不确定线性离散切换系统带有状态重置的鲁棒l2-l∞动态输出反馈控制问题。基于多李亚普诺夫函数理论,设计了带有状态重置的鲁棒l2-l∞动态输出反馈控制器,以LMI多突约束的形式给出了在任意切换信号作用下,闭环系统具有l2-l∞性能的低保守性充分条件。最后,一个数值算例说明了控制器设计方案的可行性,并说明了新充分条件具有更低的保守性和更优的l2-l∞性能。

Robust l2-l∞ output feedback control problem is investigated for a class of linear uncertain discrete-time switched systems via state reset. Based on multiple Lyapunov functions theory, robust l2-l∞ output feedback controller via state reset is designed, a lower conservative and sufficient condition in form of multiple convex constraints of LMI is derived from robust l2-l∞ performance under arbitrary switching. Finally, a numerical example shows the feasibility of the designed controller and illustrates the new sufficient condition lower conservation and more optimized l2-l∞ performance.