Non-fragile Guaranteed Cost Controller Design for Discrete Descriptor Systems with Parameter Uncertainty
This paper is concerned with the design problem of non-fragile guaranteed cost controller for discrete descriptor systems with parameter uncertainty. The controller gain variations are assumed to be time-invariant and norm-bounded appearing in the controller coefficients. Sufficient conditions for the existence of a static state feedback guaranteed cost controller with additive uncertainty and multiplicative uncertainty are obtained in terms of a set of matrix inequalities, respectively. With these conditions, the problems of non-fragile guaranteed cost controller for discrete descriptor systems are solved. Explicit expressions of desired non-fragile state feedback guaranteed cost controllers are also given, and no matrix decomposition is required. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.
Discrete descriptor systems non-fragile control controller gain variation guaranteed cost control
SongLin Wo Hao Xiao
School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Jiangsu School of Electrical and Information, Jiangsu University of Science and Technology, Jiangsu Zhenjian
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
1416-1421
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）