Robust Non-fragile Guaranteed Cost Control of Continuous-time Piecewise-affine Systems with Norm-bounded Uncertainties
In this paper,the problem of designing robust nonfragile guaranteed cost state feedback controller for a class of continuous-time singular piecewise-affine systems is considered.Based on a singular piecewise Lyapunov function combined with S-procedure and some matrix inequality convexifying techniques,the robust non-fragile stabilization condition is established,and meanwhile,the condition of constructing non-fragile guaranteed cost state feedback controller is proposed.Under the multiplicative perturbation,the design method of robust nonfragile stabilization controller is given in terms of the feasible solutions of linear matrix inequalities.It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by one or two scalar variables.Finally,numerical examples are given to illustrate the effectiveness of the proposed design methods.
singular piecewise-affine systems robust non-fragile stabilization guaranteed cost control Lyapunov function
Mao Wang Tiantian Liang Zhili Wang Zhigang Zhao
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, P.R.China
国际会议
秦皇岛
英文
1212-1217
2015-09-18（万方平台首次上网日期，不代表论文的发表时间）