H∞ controller synthesis of piecewise discrete time linear systems
Gang FENG
摘要：This paper presents an H∞ controller design method for piecewise discrete time linear systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting closed loop system is globally stable with guaranteed H∞ perfomance and the controller can be obtained by solvng a set of bilinear matrix inequalities. It has been shown that piecewise quadratic Lyapnnov functions are less conservative than the global quadratic Lyapunov functions. A simulation example is also given to illustrate the advantage of the proposed approach.
机标关键词：linear systemsbilinear matrix inequalitiesLyapunov functionsglobally stablediscrete timedesign methodclosed loop
分类号：O1(数学)
资助基金：the Research Grants Council of the Hong Kong Special Administrative R egion, China(CityU1024/02E)
论文发表日期：2003-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：7( 28-34 )
英文信息