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

被引：0

作者：

Wang, Mao ^{[1
]}

Zhou, Zhenhua ^{[1
]}

Wang, Xuehan ^{[2
]}

机构：

[1] Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin

[2] Gas Turbine Power Plant of Daqing Oilfield Power Group, Daqing

来源：

Zhou, Zhenhua | 1600年 / Editorial Board of Journal of Harbin Engineering卷 / 35期

关键词：

Generalized piecewise-affine singular systems; H[!sub]∞[!/sub] guaranteed cost control; Output feedback control; Piecewise Lyapunov function; Quadratic D-stability;

D O I：

10.3969/j.issn.1006-7043.201307037

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1369 / 1377

页数：8

共 18 条

[1] Masubuchi, Kamitane Y., Ohara A., H∞ control for descriptor systems: a matrix inequalities approach, Automatica, 33, 4, pp. 669-673, (1997)
[2] De Oliveira M.C., Geromel J.C., A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence, Systems Control Letters, 54, pp. 1131-1134, (2005)
[3] Qiu J., Feng G., Gao H., Approaches to robust H∞ static output feedback control of discrete-time piecewise-affine systems with norm-bounded uncertainties, Int J Robust Nonlinear Control, 21, pp. 790-814, (2011)
[4] Peres P.L.D., Geromel J.C., H∞ guaranteed cost control for uncertain continuous-time linear systems, Systems and Control Letters, 20, pp. 413-418, (1993)
[5] Daafouz J., Bernussou J., Poly-quadratic stability and H∞ performance for discrete systems with time varying uncertainties, Proceedings of the 40th IEEE Conference on Decision and Control, pp. 267-272, (2001)
[6] Geromel J.C., De Oliveira M.C., Bernussou J., Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions, SIAM J Control Optim, 41, 3, pp. 700-711, (2002)
[7] Leite V.J.S., Peres P.L.D., An improved LMI condition for robust D-stability of uncertain polytopic systems, IEEE Trans Automat Control, 48, 3, pp. 500-504, (2003)
[8] Kim J.H., Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays, International Journal of Control, Automation, and Systems, 7, 3, pp. 357-364, (2009)
[9] Ren J., Zhang X., Guaranteed cost control of nonlinear singular system with time delays using T-S Fuzzy model, Applied Mathematics & Information Sciences, 7, 4, pp. 1615-1622, (2013)
[10] Zhu X.L., Yang G.H., Integral inequality approach to stability analysis of continuous-time systems with time-varying delay, IET Control Theory, 2, 6, pp. 524-534, (2008)

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