Discrete-time supervisory control of input-constrained neutrally stable linear systems via state-dependent dwell-time switching

Systems and Control Letters

Volumn 56, Issue 7-8, 2007, Pages 484-492

  Kim, Jung Su ^a   Yoon, Tae Woong ^b   De Persis, Claudio ^c  

^a UNIVERSITY OF STUTTGART   (Germany)

^b Korea University   (South Korea)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Dwell time; IISS; Input constraint; Switching adaptive control

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONSTRAINED OPTIMIZATION; DISCRETE TIME CONTROL SYSTEMS; SWITCHING SYSTEMS;

DWELL TIME; IISS; INPUT CONSTRAINTS; SWITCHING ADAPTIVE CONTROL;

LINEAR SYSTEMS;

EID: 34249034255     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2007.01.003     Document Type: Article

References (33)

1. Angeli D. Intrinsic robustness of global asymptotic stability. Systems Control Lett. 38 (1999) 297-307
2. Angeli D., Sontag E.D., and Wang Y. A characterization of integral input-to-state stability. IEEE Trans. Automat. Control 45 (2000) 1082-1097
3. Astrom K., and Wittenmark B. Adaptive Control (1995), Addison-Wesley, Reading, MA
4. Bao X., Lin Z., and Sontag E.D. Finite gain stabilization of discrete-time linear systems subject to actuator saturation. Automatica 36 (2000) 269-277
5. Chitour Y., Liu W., and Sontag E. On finite gain stabilizability of linear systems subject to input saturation. SIAM J. Control Optim. 34 (1996) 1190-1219
6. Choi J. On the stabilization of linear discrete time system subject to input saturation. Systems Control Lett. 36 (1999) 241-244
7. De Persis C., De Santis R., and Morse A.S. Nonlinear switched systems with state dependent dwell time. Systems Control Lett. 50 4 (2003) 291-302
8. De Persis C., De Santis R., and Morse A.S. Supervisory control with state-dependent dwell-time logic and constraints. Automatica 40 2 (2004) 269-275 For a full version of the paper as it appeared in De Persis et al., State-dependent dwell-time logic for nonlinear switched systems with applications, Technical Report, LCSE, Yale University, 2002
9. G.C. Goodwin, T. Perez, J. De Dona, An introduction to constrained control, Technical Report, EE02025, The University of Newcastle, 2002.
10. Hespanha J.P., Liberzon D., and Morse A.S. Supervision of integral-input-to-state stabilizing controllers. Automatica 38 8 (2002) 1327-1335
11. Hespanha J.P., Liberzon D., and Morse A.S. Overcoming the limitations of adaptive control by means of logic-based switching. Systems Control Lett. 49 1 (2003) 49-65
12. Hespanha J.P., and Morse A.S. Certainty equivalence implies detectability. Systems Control Lett. 36 1 (1999) 1-13
13. Hou P., Saberi A., Lin Z., and Sannuti P. Simultaneous external and internal stabilization for continuous and discrete-time critically unstable systems with saturating actuators. Automatica 34 12 (1998) 1547-1557
14. Hu T., and Lin Z. Control Systems with Actuator Saturation (2002), Birkhauser, Basel
15. Ioannou P.A., and Sun J. Robust Adaptive Control (1996), Prentice-Hall, Englewood Cliffs, NJ
16. Isidori A. Nonlinear Control Systems vol. II (1999), Springer, Berlin
17. Jiang Z.-P., and Wang Y. A converse lyapunov theorem for discrete-time systems with disturbances. Systems Control Lett. 45 (2002) 49-58
18. N. Kapoor, A.R. Teel, P. Daoutidis, On anti-integrator-windup and global asymptotic stability, in: Proceedings of the 13th World Congress of IFAC, 1996.
19. Kim J.-S., Yoon T.-W., and De Persis C. State-dependent dwell time switching for discrete-time stable systems. IEICE Trans. Fund. E87-A 12 (2004) 3436-3438
20. Kim J.-S., Yoon T.-W., Jadbabaie A., and De Persis C. Input-to-state-stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints. Systems Control Lett. 55 4 (2006) 293-303
21. Landau I.D. Adaptive Control (1997), Springer, Berlin
22. D. Liberzon, J.P. Hespanha, A.S. Morse, Control using logic and switching, Lecture Note for IEEE CDC 2001, in: Workshop, 2001.
23. Mareels I.M.Y., and Poldweman J.W. Adaptive Systems: an Introduction (1996), Birkhauser, Basel
24. Mayne D.Q., Rawlings J.B., Rao C.V., and Scokaert P.O.M. Constrained model predictive control: stability and optimality. Automatica 36 (2000) 789-814
25. Morse A.S. Supervisory control of families of linear set-point controllers-part I: exact matching. IEEE Trans. Automat. Control (1996) 1413-1431
26. Narendra K.S., and Balakrishnan J. Improving transient response of adaptive control systems using multiple models and switching. IEEE Trans. Automat. Control (1994) 1861-1866
27. Narendra K.S., and Xiang C. Adaptive control of discrete-time systems using multiple models. IEEE Trans. Automat. Control 45 9 (2000) 1669-1686
28. Saberi A., Han J., and Stoorvogel A.A. Constrained stabilization problems for linear plants. Automatica 38 (2001) 639-654
29. Saberi A., Hou P., and Stoorvogel A. On simultaneous global external and internal stabilization of critically unstable linear systems with saturating actuators. IEEE Trans. Automat. Control 45 6 (2000) 1042-1052
30. Shi G., Saberi A., and Stoorvogel A.A. On the lp (lp) stabilization of open-loop neutrally stable linear plants with input subject to amplitude saturation. Internat. J. Robust and Nonlinear Control 13 (2003)
31. Sontag E.D. Comments on integral variants of ISS. Systems Control Lett. 34 (1998) 93-100
32. Y. Yang, Global stabilization of linear systems with bounded feedback, Ph.D Dissertation, Rutgers, The State University of New Jersey, New Brunswick, 1993.
33. ∞ dynamic anti-windup scheme for input-constrained linear systems, in: Proceedings of the 15th IFAC World Congress, Barcelona, Spain, 2002.