H∞ model reduction for uncertain switched linear discrete-time systems

Automatica

Volumn 44, Issue 11, 2008, Pages 2944-2949

  Zhang, Lixian ^a   Shi, Peng ^b   Boukas, El Kébir ^c   Wang, Changhong ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

H performance; Linear matrix inequality (LMI); Model reduction; Polytopic uncertainty; Switched linear systems

Indexed keywords

CLOSED LOOP SYSTEMS; CONTINUOUS TIME SYSTEMS; CONTROL THEORY; DELAY CONTROL SYSTEMS; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SWITCHING SYSTEMS; UNCERTAIN SYSTEMS;

ASYMPTOTICALLY STABLES; CONVEX OPTIMIZATION PROBLEMS; DISCRETE-TIME SYSTEMS; ERROR PERFORMANCES; ERROR SYSTEMS; EXISTENCE CONDITIONS; LINEAR MATRIX INEQUALITY (LMI); LINEAR MATRIXES; MODEL REDUCTION; MODEL REDUCTIONS; NUMERICAL EXAMPLES; ORIGINAL SYSTEMS; POLYTOPIC UNCERTAINTIES; POLYTOPIC UNCERTAINTY; ROBUSTLY STABLES; SUFFICIENT CONDITIONS; SWITCHED LINEAR SYSTEMS; SWITCHED SYSTEMS; UNCERTAIN;

LINEAR MATRIX INEQUALITIES;

EID: 55049112642     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.03.025     Document Type: Article

References (21)

1. Boyd S., El Ghaoui L., Feron E., and Balakrishnan V. Linear matrix inequalities in systems and control theory (1994), SIAM, Philadelphia, PA
2. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 43 4 (1998) 475-782
3. Daafouz J., Riedinger P., and Iung C. Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach. IEEE Transactions on Automatic Control 47 11 (2002) 1883-1887
4. De Koning W. Digital optimal reduced-order control of pulse-width-modulated switched linear systems. Automatica 39 11 (2003) 1997-2003
5. de Oliveira M.C., Bernussou J., and Geromel J.C. A new discrete-time robust stability condition. Systems & Control Letters 37 4 (1999) 261-265
6. Dolgin, Y., & Zeheb, E. (2003). Model reduction of uncertain systems: Approximation by uncertain system. In Proc. IEEE 42nd conf. decision and control(pp. 5259-5264)
7. ∞ model reduction using LMIs. IEEE Transactions on Automatic Control 49 7 (2004) 1187-1191
8. Feron E., Apkarian P., and Gahinet P. Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions. IEEE Transactions on Automatic Control 41 7 (1996) 1041-1046
9. Ferrari-Trecate G., Cuzzola F.A., Mignone D., and Morari M. Analysis of discrete-time piecewise affine and hybrid systems. Automatica 38 12 (2002) 2139-2146
10. ∞ model reduction for uncertain two-dimensional discrete systems. Optimal Control Applications and Methods 26 4 (2005) 199-227
11. ∞ filter for polytopic uncertain systems via convex optimization. IET Control Theory Applications 148 1 (2001) 55-59
12. Liberzon D., and Morse A.S. Basic problems in stability and design of switched systems. IEEE Control Systems Magzine 19 5 (1999) 59-70
13. McClamroch N.H., and Kolmanovsky I. Performance benefits of hybrid control design for linear and nonlinear systems. IEEE Proceedings 88 7 (2000) 1083-1096
14. Morse A.S. Supervisory control of families of linear set-point controllers part I: Exact matching. IEEE Transactions on Automatic Control 41 10 (1996) 1413-1431
15. Morse A.S. Control using logic-based switching (1997), Springer-Verlag, Heidelberg, Germany
16. Wang R., and Zhao J. Exponential stability analysis for discrete-time switched linear systems with time-delay. International Journal of Innovative Computing, Information and Control 3 6 (2007) 1557-1564
17. ∞ control of networked control system via LMI approach. International Journal of Innovative Computing, Information and Control 3 2 (2007) 343-352
18. ∞ model reduction of Markovian jump linear systems. Systems & Control Letters 50 2 (2003) 103-118
19. 2 model reduction of bilinear systems. Automatica 38 2 (2002) 205-216
20. ∞ control of switched linear discrete-time systems with polytopic uncertainties. Optimal Control Applications and Methods 27 5 (2006) 273-291
21. ∞ filtering for switched linear discrete-time systems with polytopic uncertainties. International Journal of Adaptive Control & Signal Processing 20 6 (2006) 291-304