One method for robust control of uncertain systems: Theory and practice

Leitmann, George

Kybernetika, Tome 32 (1996) no. 1, pp. 43-62

Détail

Classification : 93B51, 93C41, 93D09, 93D21

Bibliographie

[1] G. Ambrosino G. Celentano F. Garofalo: Robust model tracking control for a class of nonlinear plants. IEEE Trans. Automat. Control AC-30 (1985), 275-279. | MR

[2] B. R. Barmish M. Corless G. Leitmann: A new class of stabilizing controllers for uncertain dynamical systems. SIAM J. Control Optim. 21 (1983), 2, 246-255. | MR

[3] B. R. Barmish A. R. Galimidi: Robustness of Luenberger observers: Linear system stabilized via nonlinear control. Automatica 22 (1986), 413-423. | MR

[4] B. R. Barmish G. Leitmann: On ultimate boundedness control of uncertain systems in absence of matching conditions. IEEE Trans. Automat. Control AC-27 (1982), 153-158. | MR

[5] G. Bartolini T. Zolezzi: Variable structure systems nonlinear in the control law. IEEE Trans. Automat. Control AC-30 (1985), 681-684. | MR

[6] R. W. Bass: Discussion of: "Die Stabilität von Regelsystemen mit nachgebender Rückführung" by A. M. Letov. In: Proc. Heidelberg Conf. Automatic Control 1985, p. 209.

[7] W. Breinl G. Leitmann: Zustandsrückführung für dynamische Systeme mit Parameterunsicherheiten. Regelungstechnik 31 (1983), 95-103.

[8] W. Breinl G. Leitmann: State feedback for uncertain dynamical systems. Appl. Math. Comput. 22 (1987), 65-87. | MR

[9] Y. H. Chen: Deterministic control of large scale uncertain dynamical systems. J. Franklin Inst. 323 (1987), 125. | MR | Zbl

[10] Y. H. Chen: Robust output feedback controller: Direct design. Internat. J. Control 46 (1987), 1083-1091. | MR | Zbl

[11] Y. H. Chen G. Leitmann: Robustness of uncertain systems in the absence of natching assumptions. Internat. J. Control 45 (1987), 1527-1542. | MR

[12] M. Corless: Control of uncertain nonlinear systems. ASME J. Dynam. Syst. Meas. Control 115 (1993), 362-380. | Zbl

[13] M. Corless F. Garofalo G. Leitmann: Guaranteeing exponential convergence for uncertain systems. In: Proc. Internat. Workshop on Robustness in Identification and Control, Torino 1988.

[14] M. Corless G. Leitmann: Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems. IEEE Trans. Automat. Control AC-26 (1981), 1139-1144. | MR

[15] M. Corless G. Leitmann: Adaptive control of systems containing uncertain functions and unknown functions with uncertain bounds. J. Optim. Theory Appl. 41 (1983), 155-168. | MR

[16] M. Corless G. Leitmann: Adaptive long-term management of some ecological systems subject to uncertain disturbances. In: Optimal Control Theory and Economic Analysis 3 (G. Feichtinger, ed.), Elsvier Science Publishers, Amsterdam, Holland 1985. | MR

[17] M. Corless G. Leitmann: Deterministic control of uncertain systems. In: Proc. Conf. on Modeling and Adaptive Control, Sopron 1988 (Lecture Notes in Control and Inform. Sci. 105), Springer Verlag, Berlin 1988. | MR

[18] M. Corless G. Leitmann: Deterministic control of uncertain systems: A Lyapunov theory approach. In: Deterministic Control of Uncertain Systems, Chapter 11 (A. S. I. Zinober, ed.), Peter Peregrinus, London 1990. | MR

[19] M. Corless G. Leitmann: Bounded controllers for robust exponential convergence. J. Optim. Theory Appl. 76 (1993), 1-12. | MR

[20] M. Corless G. Leitmann E. P. Ryan: Uncertain systems with neglected dynamics. In: Deterministic Control of Uncertain Systems, Chapter 12 (A. S. I. Zinober, ed.), Peter Peregrinus, London 1990. | MR

[21] M. Corless G. Leitmann J. M. Skowronski: Adaptive control for avoidance or evasion in an uncertain environment. Comput. Math. Appl. 13 (1987), 1-11. | MR

[22] M. Corless J. Manela: Control of uncertain discrete-time systems. In: Proc. American Control Conf., Seattle, Washington 1986.

[23] A. R. Galimidi B. R. Barmish: The constrained Lyapunov problem and its application to robust output feedback stabilization. IEEE Trans. Automat. Control AC-31 (1986), 410-419. | MR

[24] F. Garofalo G. Leitmann: Nonlinear composite control of a class of nominally linear singularly perturbed uncertain systems. In: Deterministic Control of Uncertain Systems, Chapter 13 (A. S. I. Zinober, ed.), Peter Peregrinus, London 1990. | MR

[25] S. Gutman G. Leitmann: On a class of linear differential games. J. Optim. Theory Appl. 17 (1975), No. 5-6. | MR

[26] S. Gutman G. Leitmann: Stabilizing feedback control for dynamical systems with bounded uncertainty. In: Proc. IEEE Conf. Decision Control, Clearwater, Florida 1976. | MR

[27] I.-J. Ha E. G. Gilbert: Robust tracking in nonlinear systems. IEEE Trans. Automat. Control AC-32 (1987), 763-771. | MR | Zbl

[28] M. Hilden V. Kaitala G. Leitmann: Stabilizing management and structural development of open access fisheries. In: Advances in Dynamic Games and Applications (T. Basar and A. Haurie, eds.), Birkhäuser Verlag, Basel 1994.

[29] R. Horowitz H. I. Stephens G. Leitmann: Experimental implementation of a deterministic controller for a D.C. motor with uncertain dynamics. ASME J. Dynam. Syst. Meas. Control 111 (1989), 244-252.

[30] V. Kaitala G. Leitmann: Stabilizing employment in a fluctuating resource economy. J. Optim. Theory Appl. 67(1990), 1-16. | MR

[31] V. Kaitala G. Leitmann: Income subsidizing and fisheries development -- an analysis of stabilizing management. In: Dynamic Economic Models and Optimal Control (G. Feichtinger, ed.), Elsevier Science Publishers, Amsterdam 1992.

[32] C. G. Kang R. Horowitz G. Leitmann: Robust deterministic control for robotic manipulators. In: Proc. ASME, Annual Meeting 1991.

[33] J. M. Kelly G. Leitmann A. G. Soldatos: Robust control of base-isolated structures under earthquake excitation. J. Optim. Theory Appl. 53 (1987), 159-180. | MR

[34] G. J. Klir T. A. Folger: Fuzzy Sets, Uncertainty and Information. Prentice Hall, Englewood Cliffs, N.J. 1988. | MR

[35] A. B. Kurzhanskii: Evolution equations for problems of control and estimation of uncertain systems. In: Proc. Internat. Conf. Math., Warsaw 1983. | MR

[36] C. S. Lee G. Leitmann: On optimal long-term management of some ecological systems subject to uncertain disturbances. Internat. J. Systems Sci. 14 (1983), 979-994.

[37] C. S. Lee G. Leitmann: Uncertain dynamical systems: An application to river pollution control. In: Proc. Modeling and Management of Resources Under Uncertainty, Honolulu (Lecture Notes in Biomathematics 72), Springer Verlag, Berlin 1987, p. 167. | MR

[38] C. S. Lee G. Leitmann: Continuous feedback guaranteeing uniform ultimate boundedness for uncertain linear delay systems: An application to river pollution control. Comput. Math. Appl. 16 (1988), 929-938. | MR

[39] C. S. Lee G. Leitmann: Some stabilizing study strategies for a student-related problem under uncertainty. Dynamics Stability Systems 6 (1991), 1, 63-69. | MR

[40] G. Leitmann: Deterministic control of uncertain systems via a constructive use of Lyapunov stability theory. In: Proc. 14th IFIP Conf., Leipzig, 1989 (Lecture Notes in Control and Inform. Sci. 143), Springer Verlag, Berlin 1990. | MR

[41] G. Leitmann: On one approach to the control of uncertain systems. ASME J. Dynam. Syst. Meas. Control 115 (1993), 373-380.

[42] G. Leitmann S. Pandey: Aircraft control for flight in an uncertain environment: Takeoff in windshear. J. Optim. Theory Appl. 70 (1991), 25-55. | MR

[43] G. Leitmann H. Y. Wan, Jr.: A stabilization policy for an economy with some unknown characteristics. J. Franklin Inst. 306 (1978), 23-33. | MR

[44] M. E. Magana S. H. Zak: Robust output feedback stabilization of discrete-time uncertain dynamical systems. IEEE Trans. Automat. Control AC-33 (1988), 1082-1088. | MR

[45] A. G. Parlos A. F. Henry F. C. Schweppe L. A. Gould D. D. Lanning: Nonlinear multivariable control of nuclear power plants based on the unknown-but-bounded disturbance model. IEEE Trans. Automat. Control AC-33 (1988), 130-137.

[46] E. Reithmeier G. Leitmann: Tracking and force control for a class of robotic manipulators. Dynamics and Control 1 (1991), 2. | MR

[47] W. E. Schmitendorf: Stabilizing controllers for uncertain linear systems with additive disturbances. Internat. J. Control 47 (1988), 85-95. | MR | Zbl

[48] M. E. Sezer D. D. Siljak: Robust stability of discrete systems. Internat. J. Control 48 (1988), 2055-2063. | MR

[49] D. D. Siljak: Decentralized Control of Complex Systems. Academic Press, New York 1991. | MR

[50] S. N. Singh: Attitude control of a three rotor gyrostat in the presence of uncertainty. J. Astronaut. Sci. 35 (1987).

[51] A. G. Soldatos M. Corless G. Leitmann: Stabilizing uncertain systems with bounded control. In: Third Workshop on Control Mechanics (Lecture Notes in Control and Inform. Sci. 409), Springer Verlag, Berlin 1991. | MR

[52] H. L. Stafford: Robust control of uncertain systems in the absence of matching conditions: Scalar input. In: Proc. IEEE Conf. Decision and Control 1987.

[53] H. L. Stalford: On robust control of wing rock using nonlinear control. In: Proc. American Control Conf., Minneapolis 1987.

[54] A. Steinberg E. P. Ryan: Dynamic output feedback control of a class of uncertain systems. IEEE Trans. Automat. Control AC-31 (1986), 1163-1165.

[55] A. Thowsen: Uniform ultimate boundedness of the solutions of uncertain dynamic delay systems with state-dependent and memoryless feedback. Internat. J. Control 37 (1983), 1135-1143. | MR | Zbl

[56] B. L. Walcott S. H. Zak: State observation of nonlinear uncertain dynamical systems. IEEE Trans. Automat. Control AC-32 (1987), 166-170. | MR

[57] U. Weltin: Aktive Schwingungsdämpfung von Rotoren mit Parameterunsicherheiten. Dr.-Ing. Dissertation, TU Darmstadt 1988.