Supervisory control of uncertain linear time-varying systems

IEEE Transactions on Automatic Control

Volumn 56, Issue 1, 2011, Pages 27-42

  Vu, Linh ^a   Liberzon, Daniel ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Adaptive control; input to state stability; interconnected switched systems; linear time varying systems; supervisory control

Indexed keywords

ADAPTIVE CONTROL; INPUT-TO-STATE; INTERCONNECTED SWITCHED SYSTEMS; LINEAR TIME-VARYING SYSTEMS; SUPERVISORY CONTROL;

CONTROL SYSTEM STABILITY; CONTROLLERS; INVARIANCE; LINEAR CONTROL SYSTEMS; SWITCHING SYSTEMS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAINTY ANALYSIS;

ADAPTIVE CONTROL SYSTEMS;

EID: 78651309519     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2060244     Document Type: Article

References (32)

1. K. Tsakalis and P. Ioannou, "Adaptive control of linear time-varying plants: A new model reference controller structure," IEEE Trans. Autom. Control, vol. AC-34, no. 10, pp. 1038-1046, Oct. 1989.
2. R. H. Middleton and G. C. Goodwin, "Adaptive control of time-varying linear systems," IEEE Trans. Autom. Control, vol. AC-33, no. 2, pp. 150-155, Feb. 1988.
3. K. Tsakalis and P. Ioannou, "A new indirect adaptive control scheme for time-varying plants," IEEE Trans. Autom. Control, vol. 35, no. 6, pp. 697-705, Jun. 1990.
4. P. G. Voulgaris, M. A. Dahleh, and L. S. Valavani, "Robust adaptive control: A slowly varying systems approach," Automatica, vol. 30, no. 9, pp. 1455-1461, 1994.
5. D. Dimogianopoulos and R. Lozano, "Adaptive control for linear slowly time-varying systems using direct least-squares estimation," Automatica, vol. 37, no. 2, pp. 251-256, 2001.
6. Y. Zhang, B. Fidan, and P. Ioannou, "Backstepping control of linear time-varying systems with known and unknown parameters," IEEE Trans. Autom. Control, vol. 48, no. 11, pp. 1908-1925, Nov. 2003.
7. B. Fidan, Y. Zhang, and P. Ioannou, "Adaptive control of a class of slowly time varying systems with unmodeling uncertainties," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 915-920, Jun. 2005.
8. G. Kreisselmeier, "Adaptive control of a class of slowly time-varying plants," Syst. Control Lett., vol. 8, no. 2, pp. 97-103, 1986.
9. F. Giri, M. M'Saad, L. Dugard, and J. Dion, "Robust adaptive regulation with minimal prior knowledge," IEEE Trans. Autom. Control, vol. 37, no. 3, pp. 305-315, Mar. 1992.
10. R. Marino and P. Tomei, "Adaptive control of linear time-varying systems," Automatica, vol. 39, pp. 651-659, 2003.
11. P. Rosa, M. Athans, S. Fekri, and C. Silvestre, "Further evaluation of the RMMAC method with time-varying parameters," in Proc. Mediterranean Conf. Control Autom., 2007, pp. 1-6.
12. D. E. Miller, "A new approach to model reference adaptive control," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 743-757, May 2003.
13. A. S. Morse, "Supervisory control of families of linear set-point controllers, Part 2: Robustness," IEEE Trans. Autom. Control, vol. 42, no. 11, pp. 1500-1515, Nov. 1997.
14. J. P. Hespanha, D. Liberzon, and A. S. Morse, "Hysteresis-based switching algorithms for supervisory control of uncertain systems," Automatica, vol. 39, no. 2, pp. 263-272, 2003.
15. D. Liberzon, Switching in Systems and Control. Boston, MA: Birkhäuser, 2003.
16. J. P. Hespanha, D. Liberzon, and A. S. Morse, "Overcoming the limitations of adaptive control by means of logic-based switching," Syst. Control Lett., vol. 49, no. 1, pp. 49-65, 2003.
17. A. S. Morse, "Supervisory control of families of linear set-point controllers, Part 1: Exact matching," IEEE Trans. Autom. Control, vol. 41, no. 10, pp. 1413-1431, Oct. 1996.
18. J. P. Hespanha, D. Liberzon, A. S. Morse, B. D. O. Anderson, T. S. Brinsmead, and F. Bruyne, "Multiple model adaptive control, Part 2: Switching," Int. J. Robust Nonlin. Control, vol. 11, pp. 479-496, 2001. (Pubitemid 32371924)
19. M. J. Feiler and K. S. Narendra, "Simultaneous identification and control of time-varying systems," in Proc. 45th IEEE Conf. Decision Control, 2006, pp. 1093-1098.
20. J. P. Hespanha and A. S. Morse, "Stability of switched systems with average dwell-time," in Proc. 38th IEEE Conf. Decision Control, 1999, pp. 2655-2660.
21. P. A. Ioannou and J. Sun, Robust Adaptive Control. Englewood Cliffs, NJ: Prentice-Hall, 1996.
22. H. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice- Hall, 2002.
23. B. D. O. Anderson, T. S. Brinsmead, F. D. Bruyne, J. P. Hespanha, D. Liberzon, and A. S. Morse, "Multiple model adaptive control, Part 1: Finite controller coverings," Int. J. Robust Nonlin. Control, vol. 10, pp. 909-929, 2000.
24. J. P. Hespanha and A. S. Morse, "Stabilization of nonholonomic integrators via logic-based switching," Automatica, vol. 35, pp. 385-393, 1999.
25. J. P. Hespanha, D. Liberzon, and A. S. Morse, "Supervision of integralinput- to-state stabilizing controllers," Automatica, vol. 38, no. 8, pp. 1327-1335, 2002.
26. E. D. Sontag, "Input to state stability: Basic concepts and results," in Nonlinear and Optimal Control Theory, P. Nistri and G. Stefani, Eds. Berlin, Germany: Springer-Verlag, 2007, pp. 166-220.
27. J. P. Hespanha, "Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle," IEEE Trans. Autom. Control, vol. 49, no. 4, pp. 470-482, Apr. 2004.
28. D. Nesic and D. Liberzon, "A small-gain approach to stability analysis of hybrid systems," in Proc. 44th IEEE Conf. Decision Control, 2005, pp. 5409-5414.
29. J. Zhao and D. Hill, "Dissipativity theory for switched systems," IEEE Trans. Autom. Control, vol. 53, no. 4, pp. 941-953, May 2008.
30. M. Zefran, F. Bullo, and M. Stein, "A notion of passivity for hybrid systems," in Proc. 40th IEEE Conf. Decision Control, 2001, pp. 771-773.
31. L. Vu, D. Chatterjee, and D. Liberzon, "Input-to-state stability of switched systems and switching adaptive control," Automatica, vol. 43, no. 4, pp. 639-646, 2007. (Pubitemid 46341235)
32. J. P. Hespanha, D. Liberzon, and A. R. Teel, "Lyapunov conditions for input-to-state stability of impulsive systems," Automatica, vol. 44, pp. 2735-2744, 2005.