On Robust D Admissibility for Uncertain Singular Linear Systems in Generalized Linear Matriz Inequality Region
The problem of robust D admissibility in generalized linear matrix inequality regions for uncertain singular linear systems is concerned in this paper. With the introduction of some free matrices, a necessary and suf.cient condition for the considered singular linear system to be D admissible is presented in terms of linear matrix inequalities. Based on this, a suf.cient condition for the existence of state feedback control law for the resultant closed-loop singular linear systems to be robustly D admissible is proposed and an explicit expression for the desired state feedback control law is also given. The obtained results are expressed in terms of a solution of a set of linear matrix inequalities that can be implemented numerically. Numerical examples illustrate the effectiveness and applicability of our approach.
D admissibility singular linear systems linear matriz inequality
Zebin Yang Xinhua Zhang
School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P.R.China
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
3794-3798
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）