Output-feedback sampled-data polynomial controller for nonlinear systems

Automatica

Volumn 47, Issue 11, 2011, Pages 2457-2461

  Lam, H K ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Output feedback; Sampled data control system; Stability

Indexed keywords

CLOSED LOOPS; CONTROL APPROACH; CONTROL SYNTHESIS; LYAPUNOV STABILITY THEORY; NONLINEAR PLANT; OUTPUT FEEDBACK; POLYNOMIAL CONTROLLER; SAMPLED-DATA; SIMULATION EXAMPLE; STABILITY ANALYSIS; STABILITY CONDITION; SUM OF SQUARES;

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM STABILITY; CONTROL SYSTEM SYNTHESIS; CONTROL SYSTEMS; CONTROLLERS; DIGITAL COMPUTERS; NONLINEAR FEEDBACK; POLYNOMIALS; STABILITY;

SAMPLED DATA CONTROL SYSTEMS;

EID: 80053635583     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.08.009     Document Type: Article

References (27)

1. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Philadelphia, PA
2. Y. Cao, Y. Sun, and C. Cheng Delay-dependent robust stabilization of uncertain systems with multiple state delays IEEE Transactions on Automatic Control 43 11 1998 1608 1612
3. T. Chen, and B.A. Francis Inputoutput stability of sampled-data systems IEEE Transactions on Automatic Control 36 1 1991 50 58
4. E. Fridman, A. Seuret, and J.P. Richard Robust sampled-data stabilization of linear systems: an input delay approach Automatica 40 8 2004 1441 1446
5. L. Grne, K. Worthmann, and D. Nei Continuous-time controller redesign for digital implementation: a trajectory based approach Automatica 44 1 2008 225 232
6. Q.L. Han A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems Automatica 44 1 2008 272 277
7. Y. He, Q.G. Wang, L. Xie, and C. Lin Further improvement of free-weighting matrices technique for systems with time-varying delay IEEE Transactions on Automatic Control 52 2 2007 293 299
8. Y. He, and M. Wu Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities Journal of Computational and Applied Mathematics 159 2 2003 241 248
9. Y. He, M. Wu, J.H. She, and G.P. Liu Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties IEEE Transactions on Automatic Control 49 5 2004 828 832
10. L.S. Hu, T. Bai, P. Shi, and Z. Wu Sampled-data control of networked linear control systems Automatica 43 5 2007 903 911
11. H.K. Khalil Nonlinear systems 3rd ed. 2002 Prentice Hall
12. D.A. Laila, D. Nei, and A.R. Teel Open and closed loop dissipation inequalities under sampling and controller emulation European Journal of Control 8 2 2002 109 125
13. D.S. Laila, and A. Astolfi Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form Automatica 41 11 2005 1891 1903
14. D.S. Laila, and D. Nei Changing supply rates for inputoutput to state stable discrete-time nonlinear systems with applications Automatica 39 5 2004 821 835
15. X. Liu, H.J. Marquez, and Y. Lin Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model Automatica 44 12 2008 3157 3167
16. H∞ nonlinear control via fuzzy static output feedback IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 50 11 2003 1494 1502
17. Mirkin, L. (2007). On the use of time-varying delay to represent sampled-and-hold circuits. In Proceeding of the 47th IEEE conference on decision and control. New Orleans, LA, USA (pp. 420425).
18. S. Monaco, and D. Normand-Cyrot On nonlinear digital control 1995 Chapman & Hall
19. Naghshtabrizi, P.; Hespanha, J. P.; & Teel, A. R. (2006). On the robust stability and stabilization of sampled-data systems: a hybrid system approach. In Proceeding of the 45th IEEE conference on decision and control. San Diego, CA, USA (pp. 48734878).
20. D. Nei, and D. Angeli Integral versions of ISS for sampled-data nonlinear systems via their approximate discrete-time models IEEE Transactions on Automatic Control 47 12 2002 2033 2037
21. D. Nei, and L. Grne Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation Automatica 41 7 2005 1143 1156
22. Papachristodoulou, A.; & Prajna, S. (2005). A tutorial on sum of squares techniques for system analysis. In Proceedings of the American control conference, ASCC. Portland, OR, USA (pp. 26862700).
23. Prajna, S.; Papachristodoulou, A.; & Parrilo, P. A. (2002a). Introducing sostools: a general purpose sum of squares programming solver. In Proceedings of the 41st IEEE conference on decision and control. Las Vegas, Nevada, USA. Vol. 1 (pp. 741746).
24. Prajna, S.; Papachristodoulou, A.; & Parrilo, P. A. (2002b). Sostoolssum of squares optimization toolbox, users guide. Available at http://www.cds.caltech.edu/sostools and http://www.aut.ee.ethz.ch/~parrilo/ sostools.
25. Prajna, S.; Papachristodoulou, A.; & Wu, F. (2004). Nonlinear control synthesis by sum-of-squares optimization: a Lyapunov-based approach. In Proceedings of the Asian control conference, ASCC. Melbourne, Australia. Vol. 1 (pp. 157165).
26. E.D. Sontag Smooth stabilization implies comprime factorization IEEE Transactions on Automatic Control 34 4 1989 435 443
27. S. Xu, and J. Lam Improved delay-dependent stability criteria for time-delay systems IEEE Transactions on Automatic Control 50 3 2005 384 387