Stability of sampled-data piecewise-affine systems under state feedback

Automatica

Volumn 43, Issue 7, 2007, Pages 1249-1256

  Rodrigues, Luis ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

Linear matrix inequalities; Piecewise affine systems; Sampled data systems; Stability analysis; Switched systems

Indexed keywords

ASYMPTOTIC STABILITY; DATA STORAGE EQUIPMENT; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES;

PIECEWISE-AFFINE SYSTEMS; SAMPLED-DATA SYSTEMS;

LINEAR STABILITY ANALYSIS;

EID: 34249051578     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.12.016     Document Type: Article

References (16)

1. Azuma S., and Imura J. Probabilistic controllability analysis of sampled-data/discrete-time piecewise-affine systems. Proceedings of the American control conference (2004) 2528-2533
2. Chen T., and Francis B. Optimal sampled data control systems (1995), Springer, Berlin
3. Hassibi A., and Boyd S.P. Quadratic stabilization and control of piecewise-linear systems. Proceedings of the American control conference (1998) 3659-3664
4. Imura J. Optimal continuous-time control of sampled-data piecewise affine systems. Proceedings of the American control conference (2003) 5317-5322
5. Imura J. Optimal control of sampled-data piecewise affine systems and its application to CPU processing control. Proceedings of the 42nd IEEE conference on decision and control (2003) 161-166
6. Johansson M. Piecewise linear control systems (2003), Springer, Berlin, Heidelberg
7. Johansson M., and Rantzer A. Piecewise linear quadratic optimal control. IEEE Transactions on Automatic Control 45 (2000) 629-637
8. Khalil H. Output feedback sampled-data stabilization of nonlinear systems. Proceedings of the American control conference (2004) 2397-2402
9. Nesic D., and Laila D.S. A note on input-to-state stabilization for nonlinear sampled-data systems. IEEE Transactions on Automatic Control 47 (2002) 1153-1158
10. Nesic D., and Teel A.R. A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models. IEEE Transactions on Automatic Control 49 (2004) 1153-1158
11. Rodrigues L., and Boyd S.P. Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization. Systems and Control Letters 54 (2005) 835-853
12. Rodrigues L., and How J. Automated control design for a piecewise-affine approximation of a class of nonlinear systems. Proceedings of the American control conference (2001) 3189-3194
13. Rodrigues L., and How J. Observer-based control of piecewise-affine systems. International Journal of Control 76 (2003) 459-477
14. Sun Z. Canonical froms of switched linear control systems. Proceedings of the American control conference (2004) 5182-5187
15. Sun Z., and Ge S.S. Sampling and control of switched linear systems. Proceedings of the 41st IEEE conference on decision and control (2002) 4413-4418
16. Zhai A.M.G., Lin H., and Yasuda K. Stability analysis for switched systems with continuous-time and discrete-time subsystems. Proceedings of the American control conference (2004) 4555-4560