Nonlinear tracking control in the presence of state and control constraints: A generalized reference governor

Automatica

Volumn 38, Issue 12, 2002, Pages 2063-2073

  Gilbert, Elmer ^a   Kolmanovsky, Ilya ^b,c  

^a UNIVERSITY OF MICHIGAN   (United States)

^b FORD MOTOR COMPANY   (United States)

^c FORD RESEARCH LABORATORY   (United States)

Author keywords

Disturbance inputs; Nonlinear systems; Parametric uncertainties; Reference governors; State and control constraints

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; LYAPUNOV METHODS; UNCERTAIN SYSTEMS;

CONTROL CONSTRAINTS; NONLINEAR FUNCTIONS;

NONLINEAR CONTROL SYSTEMS;

EID: 0036888254     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00135-8     Document Type: Article

References (45)

1. Angeli D., Casavola A., Mosca E. Constrained predictive control of nonlinear plants via polytopic linear system embedding. International Journal of Robust and Nonlinear Control. 10:2000;1091-1103.
2. Angeli D., Mosca E. Command governors for constrained nonlinear systems. IEEE Transactions on Automatic Control. 44:1999;816-820.
3. Artstein Z. Stabilization with relaxed controls. Nonlinear Analysis. 7:1983;1163-1173.
4. Bemporad A. Reference governor for constrained nonlinear systems. IEEE Transactions on Automatic Control. 43:1998;415-419.
5. Bemporad A., Casavola A., Mosca E. Nonlinear control of constrained linear systems via predictive reference management. IEEE Transactions on Automatic Control. 42:1996;340-349.
6. Bemporad, A., & Mosca, E. (1994a). Constraint fulfillment in control systems via predictive reference management. Proceedings of the 33rd IEEE conference on decision and control, Orlando, FL (pp. 3017-3022).
7. Bemporad, A., & Mosca, E. (1994b). Constraint fulfillment in feedback control via predictive reference management. Proceedings of the 3rd IEEE conference on control applications, Glasgow, UK (pp. 1909-1914).
8. Bemporad, A., & Mosca, E. (1995). Nonlinear predictive reference governor for constrained control systems. Proceedings of the 34th IEEE conference on decision and control, New Orleans, Louisiana (pp. 1205-1210).
9. Benzaouia A., Burgat C. Regulator problem for linear discrete-time systems with nonsymmetrical constrained control. International Journal of Control. 48:1988;2441-2451.
10. Bertsekas D.P., Rhodes I.B. On the minimax reachability of target sets and target tubes. Automatica. 7:1971;233-247.
11. Bitsoris G. Positively invariant polyhedral sets of discrete-time linear systems. International Journal of Control. 47:1988;1713-1726.
12. Blanchini F. Control synthesis for discrete-time linear systems with control and state bounds in the presence of disturbances. Journal of Optimization Theory and Applications. 65:1990;29-40.
13. Blanchini F. Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances. IEEE Transactions on Automatic Control. AC-35:1990;1231-1234.
14. Blanchini F. Ultimate boundness control for uncertain systems via set-induced Lyapunov functions. IEEE Transactions on Automatic Control. 39:1994;428-433.
15. Blanchini F. Set invariance in control - A survey. Automatica. 31:1995;451-461.
16. Blanchini F., Miani S. Any domain of attraction for a linear system is a tracking domain of attraction. SIAM Journal of Control and Optimization. 38:2000;971-994.
17. Burridge R.R., Rizzi A.A., Koditchek D.E. Sequential composition of dynamically dexterous robot behaviours. International Journal of Robotics Research. 4:1999;534-555.
18. Casavola, A. A., & Mosca, E. (1996). Reference governor for constrained linear systems subject to bounded input disturbances. Proceedings of the 35th conference on decision and control (pp. 3531-3536).
19. Christianini N., Shawe-Taylor J. An introduction to support vector machines and other Kernel-based learning methods. 2000;Cambridge University Press, Cambridge.
20. Clarke F.H., Ledyaev Yu.S., Rifford L., Stern R.J. Feedback stabilization and Lyapunov functions. SIAM Journal of Control and Optimization. 39:2000;25-48.
21. Freeman R.A., Kokotović P.V. Inverse optimality in robust stabilization. SIAM Journal of Control and Optimization. 34:1996;1365-1391.
22. Gilbert, E. G., & Kolmanovsky, I. (1995). Reference governors for systems with state and control constraints and disturbance inputs. Proceedings of the 34th IEEE conference on decision and control, New Orleans, Louisiana (pp. 1189-1194).
23. Gilbert, E. G., & Kolmanovsky, I. (1999a). Set-point control of nonlinear systems with state and control constraints: A Lyapunov function reference governor approach. Proceedings of the 38th conference on decision and control (pp. 2507-2512).
24. Gilbert E.G., Kolmanovsky I. Fast reference governors for systems with state and control constraints and disturbance inputs. International Journal of Robust and Nonlinear Control. 9:1999;1117-1141.
25. Gilbert, E. G., Kolmanovsky, I., & Tan, K. T. (1994). Nonlinear control of discrete-time linear systems with state and control constraints: A reference governor with global convergence properties. Proceedings of the 33rd IEEE conference on decision and control, Orlando, FL (pp. 144-149).
26. Gilbert E.G., Kolmanovsky I., Tan K.T. Discrete-time reference governors and the nonlinear control of systems with state and control constraints. International Journal of Robust and Nonlinear Control. 5:1995;487-504.
27. Gilbert E.G., Tan K.T. Linear systems with state and control constraints: The theory and applications of maximal output admissible sets. IEEE Transactions on Automatic Control. 36:1991;1008-1020.
28. Hong, J., Cummings, I. A., Washabaugh, P. D., & Bernstein, D. S. (1997). Stabilization of a mass and spring system with electromagnetic actuation. Proceedings of IEEE conference on control applications, Hartford, CT (pp. 189-194).
29. Isidori A. Nonlinear control systems. 3rd ed. 1995;Springer, Berlin.
30. Kapasouris P., Athens M., Stein G. Design of feedback control systems for unstable plants with saturating actuators. Isidori A. Proceedings of IFAC symposium on nonlinear control system design. 1990;Pergamon Press, Oxford.
31. Khalil H.K. Nonlinear systems. 1992;Macmillan, New York.
32. Kolmanovsky, I., & Gilbert, E. G. (1995). Maximal output admissible sets for discrete-time systems with disturbance inputs. Proceedings of the American control conference, Seattle, Washington (pp. 1995-2000).
33. Kolmanovsky, I., & Gilbert, E. G. (1996). Multimode controllers for regulation in systems with state and control constraints and disturbance inputs. Proceedings of the block island workshop on control using logic-based switching (pp. 104-117). Berlin: Springer.
34. Kolmanovsky I., Gilbert E.G. Theory and computation of disturbance invariant sets for discrete-time linear systems. Mathematical Methods in Engineering: Theory, Methods, and Applications. 4:1998;317-367.
35. Kolmanovsky, I., Gilbert, E. G., McClamroch, N. H., & Maizenberg, T. L. (1998b). Toward less conservative designs of multimode controllers for systems with state and control constraints. Proceedings of the 37th IEEE conference on decision and control, Tampa, FL (pp. 1647-1652).
36. Lin E., Sontag E.D., Yang Y. A smooth converse Lyapunov theorem for robust stability. SIAM Journal of Control and Optimization. 34:1996;124-160.
37. Mayne D.Q., Rawlings J.B., Rao C.V., Scokaert P.O.M. Constrained model predictive control: Stability and optimality. Automatica. 36:2000;789-814.
38. Mayne D.Q., Schroeder W.R. Robust time-optimal control of constrained linear systems. Automatica. 33:1997;2103-2118.
39. McConley M.W., Appleby B.D., Dahleh M.A., Feron E. Computational complexity of Lyapunov stability analysis problems for a class of nonlinear systems. SIAM Journal of Control and Optimization. 36:1998;2176-2193.
40. McConley M.W., Appleby B.D., Dahleh M.A., Feron E. A computationally efficient Lyapunov-based scheduling procedure for control of nonlinear systems with stability guarantees. IEEE Transactions on Automatic Control. 45:2000;33-49.
41. Miller R.H., Kolmanovsky I., Gilbert E.G., Washabaugh P.D. Control of constrained nonlinear systems. A case study IEEE Control Systems Magazine. 20:2000;23-32.
42. Rugh W.J., Shamma J.S. Research on gain scheduling. Automatica. 36:2000;1401-1425.
43. Schölkopf B., Smola A. Learning with kernels: support vector machines, regularization, optimization, and beyond. 2002;MIT Press, Cambridge, MA.
44. Sepulchre R., Janković M., Kokotović P. Constructive nonlinear control. 1997;Springer, Berlin.
45. Slotine J.J., Li W. Applied nonlinear control. 1991;Prentice-Hall, Englewood Cliffs, NJ.