Robust H[infinity] output feedback control for constrained discretetime piecewise affine systems with time-parametric uncertainties

• Autorzy: Wang J.

Warianty tytułu

PL

Odporny układ sterowania H[nieskończoność] dla systemów z czasowo zależnymi niepewnościami

• Języki publikacji: EN

Abstrakty

EN

In this study, a novel robust H[infinity] output feedback control scheme is presented for discrete-time piecewise affine (PWA) systems in the presence of time-varying uncertainties, external disturbance and time-domain constraints. The suggested control method is formulated as linear matrix inequalities (LMIs). The basic idea of them is to construct piecewise quadratic Lyapunov function and introduce a dissipation inequality to guarantee the system energy dissipation. The designed controllers not only guarantee the stability of the closed-loop systems, but also obtain the disturbance attenuation ability.

PL

Zaprezentowano nowy odporny układ sterowania ze sprzężeniem typu H[nieskończoność] do systemów PWA. Uwzględniono obecność zmiennych w czasie niepewności, zewnętrznych zakłóceń i czasowo zależnych wymuszeń.

Słowa kluczowe

EN

piecewise affine systems; linear matrix inequality approach; static output feedback

PL

system affiniczny; sprzężenie zwrotne; sterowanie; stabilność

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2012
• Tom: R. 88, nr 3b
• Strony: 84--87
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Wang J.

• College of Electromechanical and Information Engineering, Dalian Nationalities University, Dalian, Liaoning Province, China,

Bibliografia

• [1] Gao yahui., Liu zhiyuan and Chen hong. Robust H∞ Control for Constrained Discrete- Time Piecewise Affine Systems with Time-Varying Parametric Uncertainties, IET Control Theory and Applications., 8(2009), 1132-1144
• [2] Cairano S. D, Bemporad A. An equivalence result between linear hybrid automata and piecewise affine systems, Proceedings of the 45th IEEE Conference on Decision and Control CA, USA, San Diego., (2006), 2631-2636
• [3] Li chuandong, Liao xiaofeng and Yang xiaofan. Swich control for piecewise affine chaotic systems, Chaos., (2006)16, 033104
• [4] Rodrigues L, Hassibi A and J. P How. Illinois., Output feedback controller synthesis for piecewise-affine systems with multiple equilibria. Proceedings of the American Control Conference, Chicago, (2000), 1784-1789
• [5] Boyd S., Ghaoui L., Feron E and Balakrishnan V, Linear Matrix Inequalities in System and Control Theory. Philadephia, (1994)
• [6] Johansson M., Rantzer A., Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Trans. Autom. Control, 43(1998), No. 4, 555–559
• [7] Hassibi A., Boyd S., Quadratic stabilization and control of piecewise-linear systems, Proc. American Control Conf., Philadelphia, Pennsylvania, June (1998), 3659–3664
• [8] Mingnone D., Trecate G.F., Morari M., Stability and stabilization of piecewise affine and hybrid systems: an LMI approach, Proc. 39th IEEE Conf. Decision and Control, Sydney, Australia, December, (2000), 504–509
• [9] Cuzzola F.A., Morari M., A generalized approach for analysis and control of discrete– time piecewise affine and hybrid systems, Hybrid systems: computation and control lecture notes in computer sciences, 2034 (2001), 189–203
• [10] Trecate G.F., Cuzzolz F.A., Mingnone D., Morari M., Analysis and control with performance of piecewise affine and hybrid systems, Proc. American Control Conf., Arlington, VA, June ,(2001), 200–205
• [11] Trecate G.F., Cuzzola F.A., Mingnone D., Morari M., Analysis of discrete-time piecewise affine and hybrid systems, Automatica, 38(2002), No.12, 2139–2146
• [12] Feng G., Stability analysis of piecewise discrete-time linear systems, IEEE Trans. Autom. Control, 47(2002), No.7, 1108–1112
• [13] Morinaga E., Hirata K., An L2-gain analysis of piecewise affine systems by piecewise quadratic storage functions, Proc. American Control Conf., Boston, Massachusetts, June, (2004), 5176–5181