Digital stochastic control of distributed-parameter systems
Tóm tắt
This paper presents a method for discrete-time control and estimation of flexible structures in the presence of actuator and sensor noise. The approach consists of complete decoupling of the modal equations and estimator dynamics based on the independent modal-space control technique and modal spatial filtering of the system output. The solution for the Kalman filter gains reduces to that of independent second-order modal estimators, thus permitting real-time digital control of distributed-parameter systems in a noisy environment. The method can be used to control and estimate any number of modes without computational restraints and is theoretically free of observation spillover. Two examples, the first using nonlinear, quantized control and the second using linear, state feedback control are presented.
Tài liệu tham khảo
Anderson, B. D. O., andMoore, J. B.,Linear Optimal Control, Prentice-Hall, Englewood Cliffs, New Jersey, 1971.
Simon, J. D., andMitter, K.,A Theory of Modal Control, Information and Control, Vol. 13, pp. 316–353, 1968.
Balas, M.,Active Control of Flexible Systems, Journal of Optimization Theory and Applications, Vol. 25, pp. 415–436, 1978.
Meirovitch, L., andÖz, H.,An Assessment of Methods for Control of Large Space Structures, Proceedings of the 1979 Joint Automatic Control Conference, Denver, Colorado, 1979.
Meirovitch, L., andÖz, H.,Computational Aspects of the Control of Large Flexible Structures, Proceedings of the 18th IEEE Conference on Decision and Control, Fort Lauderdale, Florida, pp. 220–229, 1979.
Kokotovic, P. V.,Feedback Design of Large Linear Systems, Feedback Systems, Edited by J. B. Cruz, McGraw-Hill Book Company, New York, New York, pp. 99–127, 1971.
Porter, B., andCrossley, R.,Modal Control, Theory and Applications, Taylor and Francis, London, England, 1972.
Meirovitch, L., andÖz, H.,Modal Space Control of Distributed Gyroscopic Systems, Journal of Guidance and Control, Vol. 3, pp. 140–150, 1980.
Öz, H., andMeirovitch, L.,Optimal Modal-Space Control of Flexible Gyroscopic Systems, Journal of Guidance and Control, Vol. 3, pp. 218–226, 1980.
Meirovitch, L., andÖz, H.,Modal-Space Control of Large Flexible Spacecraft Possesing Ignorable Coordinates, Journal of Guidance and Control, Vol. 3, pp. 569–577, 1980.
Öz, H., andMeirovitch, L.,Stochastic Independent Modal-Space Control of Distributed-Parameter Systems, Journal of Optimization Theory and Applications, Vol. 40, No. 1, 1983.
Meirovitch, L., andBaruh, H.,Control of Self-Adjoint Distributed-Parameter Systems, Journal of Guidance, Control, and Dynamics, Vol. 5, pp. 60–66, 1982.
Meditch, J. S.,Stochastic Optimal Linear Estimation and Control, McGraw-Hill Book Company, New York, New York, 1969.
Schweppe, F. C.,Uncertain Dynamic Systems, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.
Meirovitch, L.,Analytical Methods in Vibrations, The Macmillan Company, New York, New York, 1967.