不确定离散切换系统的鲁棒D-稳定性与H_∞控制  

Robust D-stability and H_∞ control of uncertain discrete switched systems

作　　者：赵旭东[1] 凌明祥[1] 曾庆双[1] 

机构地区：[1]哈尔滨工业大学空间控制与惯性技术研究中心,哈尔滨150001

出　　处：《哈尔滨工业大学学报》2009年第1期38-43,共6页Journal of Harbin Institute of Technology

摘　　要：针对一类子系统为不确定离散时间系统的切换系统,研究系统的鲁棒D-稳定性与H∞控制.根据多李亚普诺夫函数法,以LM I的形式给出了在任意切换信号作用下,不确定离散切换系统同时具有鲁棒D-稳定性和H∞性能的充分条件.进而给出了保证闭环不确定系统具有鲁棒D-稳定性和H∞性能的状态反馈控制器的设计方案.仿真算例说明控制器设计方案的可行性与有效性.The robust D-stability and H∞ control of uncertain discrete switched systems are studied in this paper. Based on multiple Lyapunov functions theory, a sufficient condition in form of multiple convex constraints of LMI is derived from robust D-stability and H∞ performance under arbitrary switching. Furthermore, a statefeedback controller is designed to make the closed uncertain system have robust D-stability and H∞ perform- ance. A simulation example illustrates the feasibility and effectiveness of the designed controller.

关 键 词：切换系统 鲁棒D-稳定性 多李亚普诺夫函数 H∞性能 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]