Delay-dependent Robust H∞ Control for Uncertain Singular Systems with Discrete and Distributed Delays
The problem of delay-dependent robust H∞ control for uncertain singular systems with discrete and distributed delays is revisited in this paper. The parameter uncertainties are assumed to be norm-bounded and the time delays to be time-varying, size-bounded and derivative-bounded. Using Lyapunov-Krasovskii functional and free weighting matrix methods, a new delay-dependent bounded real lemma is presented which ensures the considered system to be regular, impulse free and globally asymptotically stable with an given H∞ performance. On this basis, the robust H∞ performance analysis and robust H∞ control problem are solved and an explicit expression of the desired state-feedback controller is also given. Through matrix parametrization method, the obtained results are formulated in terms of linear matrix inequalities (LMIs) without involving decomposition of the system matrices, which makes the design procedure relatively simple and reliable. Some numerical examples are given to illustrate the effectiveness of the proposed method.
uncertain singular system discrete and distributed delays robust H∞ control linear matrix inequality (LMI)
Wei Pan
School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P.R.China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
555-560
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）