Conditions for stabilizability of linear switched systems

International Journal of Control, Automation and Systems

Volumn 9, Issue 1, 2011, Pages 139-144

  Minh, Vu Trieu ^a   Awang, Mokhtar ^a   Parman, Setyamartana ^a  

^a DEPARTMENT OF CHEMICAL ENGINEERING   (Malaysia)

Author keywords

Common Lyapunov matrix; continuous time linear switched systems; discrete time switched linear systems; linear quadratic state feedback regulator

Indexed keywords

CLOSED LOOPS; CLOSED-LOOP FEEDBACK SYSTEM; CONTINUOUS TIME; CONTINUOUS TIME LINEAR SWITCHED SYSTEMS; DISCRETE TIME; DISCRETE-TIME SWITCHED SYSTEM; GLOBAL ASYMPTOTICAL STABILITY; LINEAR QUADRATIC; LINEAR SWITCHED SYSTEMS; LYAPUNOV MATRIX; OPEN LOOP SYSTEMS; POLYTOPIC UNCERTAINTIES; STABILIZABILITY; SWITCHED LINEAR SYSTEM; SWITCHED SYSTEM; SWITCHING SIGNALS;

CLOSED LOOP SYSTEMS; FEEDBACK; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; RICCATI EQUATIONS; STATE FEEDBACK; SWITCHING SYSTEMS; TIME SHARING SYSTEMS; TIME VARYING SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 79951688520     PISSN: 15986446     EISSN: 20054092     Source Type: Journal    
DOI: 10.1007/s12555-011-0118-2     Document Type: Article

References (12)

1. M. Branicky 1998 Multiple Lyapunov functions and other analysis tools for switched and hybrid system IEEE Trans. Auto. Contr. 43 4 475 482 0904.93036 10.1109/9.664150 1617575 (Pubitemid 128737371)
2. G. Zhai H. Lin P. J. Antsaklis 2003 Quadratic stabilizability of switched linear systems with polytopic uncertainties Int. J. Control 76 747 753 1034.93055 10.1080/0020717031000114968 1979895
3. A. Raymond S. Michael P. Stefan L. Bengt 2000 Perspectives and results on the stability and stabilization of hybrid systems Proc. IEEE 88 1069 1082 10.1109/5.871309
4. D. Liberson, "Stabilizing a linear system with finite state hybrid output feedback," Proc. of MED99, pp. 176-183, 1999.
5. V. Vesely, "Static output feedback robust controller design via LMI approach," Journal of Electrical Engineering, vol. 56, no. 1-2, 2005.
6. M. Akar A. Paul G. Michael U. Mitra 2006 Conditions n the stability of a class of second-order switched systems IEEE Trans. on Automatic Control 51 2 338 340 10.1109/TAC.2005.863512 (Pubitemid 43279998)
7. R. Berg J. Pogromsky 2006 convergent design of switched linear systems Proc. IFAC Conf. on Analysis and Design of Hybrid Systems, Italy 2 122 128
8. K. Kim Y. Park 2004 Sliding mode design via quadratic performance optimization with pole-clustering constraint SIAM J. Cont. Optim. 43 2 670 684 1101.93024 10.1137/S0363012901388476
9. L. Jianbo E. Robert 1998 Optimal hybrid control for structures Computer-Aided Civil and Infrastructure Engineering 13 405 414 10.1111/0885-9507.00118
10. K. Narendra J. Balakrishnan 1997 Adaptive control using multiple models IEEE Trans. on Automatic Control 42 2 171 187 0869.93025 10.1109/9.554398 1438448 (Pubitemid 127760579)
11. K, Narendra and C. Xiang, "Adaptive control of simple nonlinear systems using multiple models," Proc. of American Cont. Conf., pp. 1779-1784, 2002.
12. V. T. Minh N. Afzulpurkar 2005 Robust model predictive control for input saturated and soften state constraints Asian Journal of Control 7 3 323 329