摘要
The guaranteed cost control problem for a continuous-time uncertain singular system with state and control delays, and a given quadratic cost function is studied in this paper. Sufficient conditions for the existence of the guaranteed cost controller are derived based on the linear inequality (LMI) approach. A parameterized characterization of the guaranteed cost laws is given in terms of the feasible solutions to a certain LMI, and the cost function of guaranteed cost controller exists an upper bound.
The guaranteed cost control problem for a continuous-time uncertain singular system with state and control delays, and a given quadratic cost function is studied in this paper. Sufficient conditions for the existence of the guaranteed cost controller are derived based on the linear inequality (LMI) approach. A parameterized characterization of the guaranteed cost laws is given in terms of the feasible solutions to a certain LMI, and the cost function of guaranteed cost controller exists an upper bound.
作者
Hai Zhang 1,2 , Wei Jiang 1 , Jun Du 1,3 (1. School of Mathematical Sciences, Anhui University, Hefei 230039, 2. School of Math. and Computation Science, Anqing Teachers College, Anqing 246011, Anhui
3. Dept. of Math., Huainan Normal University, Huainan 232001, Anhui)
基金
Supported by the National Natural Science Foundation of China (10771001)
the Key Program of Ministry of Education of China (205068)
the Foundation of Education Department of Anhui Province (KJ2008B152, KJ2009B098)
the Foundation of Innovation Team of Anhui University
