Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions
作者： Hesam Sajjadi , Reyhaneh Kardehi Moghaddam , Najmeh Eghbal
DOI: 10.5120/19848-1714
关键词:
摘要: this paper a new controller is proposed to stabilize an especial class of hybrid piecewise affine systems. In study, for the first time, stabilizing designed based on discontinuous quadratic Lyapunov functions which decrease conservation and propose wider applicable as it omits continuity condition in boundary points compared continuous functions. addition stability conditions are formulated form Bilinear Matrix Inequalities (BMI) problem. To solve problem, BMI defined multi-objective nonlinear optimization problem has been solved through using genetic Algorithm (GA).
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Behzad Samadi, Stability analysis and controller synthesis for a class of piecewise smooth systems ,(2008)
Luis Filipe Rodrigues, Dynamic output feedback controller synthesis for piecewise-affine systems ,(2002)
Mikael Johansson, Analysis of piecewise linear systems via convex optimization - A unifying approach IFAC Proceedings Volumes. ,vol. 32, pp. 2089- 2094 ,(1999) , 10.1016/S1474-6670(17)56354-5
S. Boyd, V. Balakrishnan, E. Feron, L. El Ghaoui, History of linear matrix inequalities in control theory advances in computing and communications. ,vol. 1, pp. 31- 34 ,(1994) , 10.1109/ACC.1994.751687
Venkataramanan Balakrishnan, Yu Yao, Dengfeng Sun, Kai Liu, PWA state feedback controller synthesis for piecewise-linear systems chinese control conference. pp. 1252- 1257 ,(2011)
Michael Stephen Branicky, Studies in hybrid systems: modeling, analysis, and control Massachusetts Institute of Technology. ,(1996)
Mikael Johansson, Piecewise Linear Control Systems Lecture Notes in Control and Information Sciences. ,vol. 284, ,(2003) , 10.1007/3-540-36801-9
Najmeh Eghbal, Naser Pariz, Ali Karimpour, Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems Journal of Mathematical Analysis and Applications. ,vol. 399, pp. 586- 593 ,(2013) , 10.1016/J.JMAA.2012.09.054
Kai Liu, Jianghai Hu, Yu Yao, Baoqing Yang, Xin Huo, Stability analysis of discrete-time piecewise-linear systems: A generating function approach International Journal of Control, Automation and Systems. ,vol. 12, pp. 1005- 1010 ,(2014) , 10.1007/S12555-013-0064-2
W.P.M.H. Heemels, B. De Schutter, A. Bemporad, Brief Equivalence of hybrid dynamical models Automatica. ,vol. 37, pp. 1085- 1091 ,(2001) , 10.1016/S0005-1098(01)00059-0