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Continuous-time deadbeat observation problem with application to predictive control of systems with delay. (English) Zbl 0827.93012
Summary: A continuous-time deadbeat observation paradigm is discussed. Two observers are shown to estimate the state of a linear dynamic system deadbeatly in continuous time with respectively finite and infinite memory. Among other properties, BIBO-stability is proved for both structures. Based on the theory devised, deadbeat and asymptotic predictors for plants with delayed control are developed and shown to give rise to predictive feedback controllers assigning finite spectrum to the closed-loop system.

MSC:
93B07 Observability
34K35 Control problems for functional-differential equations
93D25 Input-output approaches in control theory
93B60 Eigenvalue problems
93B52 Feedback control
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References:
[1] C. A. Desoer, M. Vidyasagar: Feedback Systems: Input-Output Properties. Academic Press, New York 1975. · Zbl 0327.93009
[2] T. Furukawa, E. Shimemura: Predictive control for systems with time delay. Internat. J. Control 37 (1983), 2, 399-412. · Zbl 0505.93056 · doi:10.1080/00207178308932979
[3] T. Kailath: Linear Systems. Prentice Hall, New York 1980. · Zbl 0454.93001
[4] V. Kučera, F. J. Kraus: FIFO stable control systems. Preprints of Papers of the 12th World IFAC Congress, Vol. 1, Sydney 1993, pp. 91-96. · Zbl 0822.93064
[5] A. Medvedev, H. T. Toivonen: A continuous finite-memory deadbeat observer. Proceedings of the American Control Conference, Chicago 1992, pp. 1800-1804.
[6] A. Medvedev, G. Hillerström: Periodic disturbance rejection: A neural network approach. Proceedings of the International Conference on Artificial Neural Networks. Springer-Verlag, Amsterdam 1993, pp. 814-817.
[7] A. Medvedev, H. Toivonen: Feedforward time-delay structures in state estimation. Finite memory smoothing and continuous deadbeat observers. IEE Proceedings D-141 (1994), 2, 121-129. · Zbl 0800.93180 · doi:10.1049/ip-cta:19949974
[8] E. Nobiyama, T. K. S. Shin: Deadbeat control problems of multivariable continuous-time systems. Proceedings of the 30th Conference on Decision and Control, Brighton 1991, pp. 2662-2667.
[9] A. W. Olbrot: Stabilizability, detectability, and spectrum assignment for linear systems with general time delays. IEEE Trans. Automat. Control AC-23 (1978), 887-890. · Zbl 0399.93008 · doi:10.1109/TAC.1978.1101879
[10] W. Wonham: Linear Multivariate Control: A Geometric Approach. Springer-Verlag, New York 1985. · Zbl 0609.93001
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