Guaranteed cost control of discrete-time generalized piecewise-affine singular systems with pole placement

For a class of discrete-time generalized piecewise-affine singular systems with norm-bounded time varying parameters uncertainties and a quadratic cost index, the problem of designing an optimal guaranteed cost H∞ output feedback controller with pole placement is considered in this paper. By using the generalized piecewise-affine singular Lyapunov functions combined with Projection lemma and some basic lemmas, an approach of designing a robust H∞ static output feedback controller is provided. This approach ensures the quadratic D-stability of the generalized piece-affine singular system with quadratic performance index. Specifically, it makes the parameter uncertain and it also satisfies the performance index of robust H∞. It is shown that the H∞ output feedback controller gains can be obtained by solving a family of LMIs parameterized by scalar variables, which both allows and satisfies the quadratic performance index. Finally, the applicability of the proposed method is demonstrated through some simulation examples. ©, 2014, Editorial Board of Journal of HEU. All right reserved.