Stabilization and Guaranteed Cost Control of Discrete-time Singular Piecewise-affine Systems with Time Delay
This paper is concerned with the problem of designing output feedback controller and guaranteed cost controller of discrete-time singular piecewise-affine systems with time delay and norm-bounded time-varying parameters uncertainties.Firstly,the corresponding operating region of the time-delay singular piecewise-affine systems in state space is described as ellipsoid which can be solved by a set of vector inequalities.Then,based on a singular piecewise Lyapunov-Krasovskii function combined with S-procedure and some matrix inequality convexifying techniques,the output feedback controller of the time-delay singular systems is investigated,and meanwhile,the guaranteed cost controller of the time-delay singular piecewiseaffine systems is solved in terms of linear matrix inequalities (LMIs).It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by one or two scalar variables.Numerical examples are given to illustrate the effectiveness of the proposed design methods.Moreover,it is suitable for practical application.
singular piecewise-affine systems time delay output feedback control guaranteed cost control piecewise Lyapunov-Krasovskii 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
933-938
2015-09-18（万方平台首次上网日期，不代表论文的发表时间）