Delay-dependent H-infinity control for linear descriptor systems with delay in state
FAN Yang
Qingling ZHANG
摘要：A delay-dependent H-infinity control for descriptor systems with a state-delay is investigated.The purpose of the problem is to design a linear memoryless state-feedback controller such that the resulting closed-loop system is regular,impulse free and stable with an H-infinity norm bound.Firstly,a delay-dependent bounded real lemma(BRL) of the time-delay descriptor systems is presented in terms of linear matrix inequalities(LMIs) by using a descriptor model transformation of the system and by taking a new Lyapunov-Krasovsii functional.The introduced functional does not require bounding for cross terms,so it has less conservation.Secondly,with the help of the obtained bounded real lemma,a sufficient condition for the existence of a new delay-dependent H-infinity state-feedback controller is shown in terms of nonlinear matrix inequalities and the solvability of the problem can be obtained by using an iterative algorithm involving convex optimization.Finally,numerical examples are given to demonstrate the effectiveness of the new method presented.
机标关键词：descriptor systemsbounded real lemmalinear matrix inequalitiessufficient conditionmodel transformationiterative algorithmconvex optimizationnew method
分类号：TP3(计算技术、计算机技术)
资助基金：Technology Foundation of Liaoning Province(200140104)
论文发表日期：2005-01-01
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：9( 76-84 )
英文信息