Fast reference governors for systems with state and control constraints and disturbance inputs

International Journal of Robust and Nonlinear Control

Volumn 9, Issue 15, 1999, Pages 1117-1141

  Gilbert, Elmer G ^a   Kolmanovsky, Ilya ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b FORD RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS;

REFERENCE GOVERNORS;

GOVERNORS;

EID: 0033357951     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(19991230)9:15<1117::AID-RNC447>3.0.CO;2-I     Document Type: Article

References (43)

1. Bernstein, D. S. and A. N. Michel, 'A chronological bibliography on saturating actuators', Int. J. Robust Nonlinear Control, 5, 375-380 (1995).
2. Kapasouris, P., M. Athans and G. Stein, 'Design of feedback control systems for unstable plants with saturating actuators', in Proc. IFAC Symp. on Nonlinear Control System Design, A. Isodori (Ed.), Pergamon Press, 1990, pp. 302-307.
3. Kapasouris, P., 'Design for performance enhancement in feedback control systems with multiple saturating nonlinearities', Ph.D. dissertation, MIT 1988.
4. Gilbert, E. G., I. Kolmanovsky and K. T. Tan, 'Discrete-time reference governors and the nonlinear control of systems with state and control constraints', Int. J. Robust Nonlinear Control, 5, 487-504 (1995).
5. Kapasouris, P., M. Athans and G. Stein, 'Design of feedback control systems for stable plants with saturating actuators', Proc. IEEE Conf. on Decision and Control, Austin, Texas, 1988, pp. 469-475.
6. Benzaouia, A. and C. Burgat, 'Regulator problem for linear discrete-time systems with nonsymmetrical constrained control', Int. J. Control, 48, 2441-2451 (1988).
7. Bitsoris, G., 'Positively invariant polyhedral sets of discrete-time linear systems', Int. J. Control, 47, 1713-1726 (1988).
8. Blanchini, F., 'Constrained control for perturbed linear systems', Proc. 29th IEEE Conf. on Decision and Control, Honolulu, Hawaii, 1990, pp. 3464-3467.
9. Blanchini, F., 'Constrained control for systems with unknown disturbances', in Control and Dynamic Systems, C. T. Leondes (Ed.), Vol. 51, Academic Press, New York, 1992 130-182.
10. Blanchini, F., 'Control synthesis for discrete-time linear systems with control and state bounds in the presence of disturbances', J. Opt. Theory Appl., 65, 29-40 (1990).
11. Blanchini, F., 'Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances', IEEE Trans. Automat. Control, AC-35, 1231-1234 (1990).
12. Blanchini, F., 'Ultimate boundness control for uncertain systems via set-induced Lyapunov functions', IEEE Trans. Automat. Control, 39, 428-433 (1994).
13. Blanchini, F. and M. Sznaier, 'Persistent disturbance rejection via static state feedback', IEEE Trans. Automat. Control, 40, 1127-1131 (1995).
14. Gilbert, E. G. and K. T. Tan, 'Linear systems with state and control constraints: the theory and applications of maximal output admissible sets', IEEE Trans. Automat. Control, 36, 1008-1020 (1991).
15. Kolmanovsky, I. and E. G. Gilbert, 'Multimode regulator for systems with state and control constraints and disturbance inputs', in Control Using Logic-Based Switching, A. S. Morse (Ed.), Spring, Berlin, 1996, pp. 118-127.
16. Kolmanovsky, I. and E.G. Gilbert, 'Theory and computation of disturbance invariant sets for discreter-time linear systems', Math. Meth. Engng.: Theory, Meth. Appl., 4, 317-367 (1998).
17. Vassilak, M., J. C. Kennet and G. Bitsoris, 'Feedback control of linear systems under state and control constraints', Int. J. Control, 47, 1727-1735 (1988).
18. Blanchini, F. and S. Miani, 'Constant signal tracking for state constrained dynamic systems', Proc. 36th Conf. on Decision and Control, San Diego, California, 1997, pp. 2870-2875.
19. Mayne, D. Q. and W. R. Schroeder, 'Robust time-optimal control of constrained linear systems', Automatica, 33, 2103-2118 (1997).
20. Tan, K. T., 'Maximal output admissible sets and the nonlinear control of linear discrete-time systems with state and control constraints', Ph.D. dissertation, Department of Aerospace Engineering, the University of Michigan, 1991.
21. Gilbert, E. G., I. Kolmanovsky and K. T. Tan, 'Nonlinear control of discrete-time linear systems with state and control constraints: a reference governor with global convergence properties', Proc. 33rd IEEE Conf. on Decision and Control, Orlando, Florida, 1994, pp. 144-149.
22. Bemporad, A. and E. Mosca, 'Constraint fulfillment in control systems via predictive reference management', Proc. 33rd IEEE Conf. Decision and Control, Orlando, Florida, 1994, pp. 3017-3022.
23. Bemporad, A. and E. Mosca, 'Constraint fulfillment in feedback control via predictive reference management', Proc. 3rd IEEE Conf. on Control Applications, Glasgow, U.K., 1994, pp. 1909-1914.
24. Bemporad, A. and E. Mosca, 'Nonlinear predictive reference governor for constrained control system', Proc. 34th IEEE Conf. on Decision and Control, New Orleans, Louisiana, 1995, pp. 1205-1210.
25. Bemporad, A., A. Cosavola, and E. Mosca, 'Nonlinear control of constrained linear systems via predictive reference management', IEEE Trans. Automat. Control, 42, 340-349 (1996).
26. Casavola, A. and E. Mosca, 'Reference governor for constrained linear systems subject to bounded input disturbances', Proc. 35th Conf. on Decision and Control, Kobo, Japan, 1996, pp. 3531-3536.
27. Gilbert, E. G. and I. Kolmanovsky, 'Reference governors for systems with state and control constraints and disturbance inputs', Proc. 34th IEEE Conf. on Decision and Control, New Orleans, Louisiana, 1995, pp. 1189-1194.
28. Aubin, J. P., Viability Theory, Birkhauser, Basel, 1991.
29. Krasovskii, N. N. and A. I. Subbotin, Game-Theoretical Control Problems, Springer, Berlin, 1988.
30. Kolmanovsky, I. and E. G. Gilbert, 'Maximal output admissible sets for discrete-time systems with disturbance inputs', Proc. American Control Conf. Seattle, Washington, 1995, pp. 1995-2000.
31. Schneider, R., Convex Bodies: The Brunn-Minkowski Theory, Cambridge University Press, Cambridge, 1993.
32. Pontryagin, L. S., 'Linear differential games', Sov. Math. Dokl, 8(3), 769-771 (1967).
33. Bertsekas, D. P. and I. B. Rhodes, 'On the minimax reachability of target sets and target tubes', Automatica, 7, 233-247 (1971).
34. Delfour, M. C. and S. K. Mitter, 'Reachability of perturbed systems and min sup problems', SIAM J. Control, 7, 521-533 (1969).
35. Demyanov, V. F. and A. M. Rubinov, Foundations of Nonsmooth Analysis and Quasidifferential Calculus, Nauka, Moscow, 1990, pp. 124-125 [in Russian].
36. Glover, J. D. and F. C. Schweppe, 'Control of linear dynamical systems with set constrained disturbances', IEEE Trans. Automat. Control, AC-16, 411-423 (1971).
37. Keerthi, S. S. and K. Sridharan, 'Solution of parameterized linear inequalities by Fourier elimination and its applications', J. Optim. Theory Appl., 65, 161-169 (1990).
38. Keerthi, S. S. and E. G. Gilbert, 'Computation of minimum time feedback control laws for discrete-time linear systems with state-control constraints', IEEE Trans. Automat. Control, AC-32, 432-435 (1987).
39. Blakelock, J. H., Automatic Control of Aircraft and Missiles, 2nd edn., Wiley, New York, 1991.
40. Rodriguez, A. A. and Y. Wang, 'Performance enhancement methods for unstable bank-to-turn (BTT) missiles with saturating actuators', Int. J. Control, 63(4), 641-678 (1996).
41. Franklin, G. F., J. D. Powell, and M. L. Workman, Digital Control of Dynamic Systems, Addison-Wesley Publishing Company, Reading, MA, 1990.
42. Rodriguez, A. A. and J. R. Cloutier, 'Control of a back-to-turn (BTT) missile with saturating actuators', Proc. 1994 American Control Conf., Baltimore, Maryland, 1994, pp. 1660-1664.
43. Rockafellar, R. T., Convex Analysis, Princeton University Press, Princeton, 1972.