不确定离散时间切换系统H_∞鲁棒性分析  

H_∞ Robustness Analysis for Uncertain Discrete Time Switched Systems

作　　者：马国梁[1] 李胜[1] 陈庆伟[1] 胡维礼[1] 

机构地区：[1]南京理工大学自动化系,南京210094

出　　处：《控制与决策》2005年第11期1304-1306,1310,共4页Control and Decision

基　　金：国家自然科学基金项目(60174019;60474034)

摘　　要：针对一类具有参数不确定性的离散时间切换系统,在任意切换的情况下研究了这类系统的鲁棒稳定问题和干扰抑制问题.首先利用公共二次Lyapunov函数法得到切换系统鲁棒稳定且具有H∞扰动衰减度的充分条件,并指出这些条件可通过线性矩阵不等式描述;然后基于分段二次Lyapunov函数给出了分析切换系统H∞鲁棒性的另一种方法;最后通过举例说明了所提出两种方法的有效性.A class of discrete time switched systems with parametric uncertainty is considered, and the robust stability problem and disturbance attenuation problem ai＇e studied for this class of systems under arbitrary switching. Sufficient conditions for the switched systems to be robustly stable with H∞ disturbance attenuation are obtained using common quadratic Lyapunov function technique, and these conditions can be formulated via linear matrix inequalities （LMIs）. Based on piecewise quadratic Lyapunov function, another method of H∞ robustness analysis for the switched systems is provided. An example illustrates the validity of both presented methods.

关 键 词：切换系统 H∞鲁棒性 公共二次Lyapunov函数 分段二次Lyapunov函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]