Abstract
This talk was devoted to an exposition of the theory of ‘almost invariant subspaces’ which was developed in [1,2]. This theory provides a geometric approach to the synthesis of high gain feedback control synthesis and is therefore intimately related to singular perturbations.
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References
J.C. Willems, “Almost invariant subspaces: An approach to high gain feedback design — Part I: Almost controlled invariant subspaces”, IEEE Transactions Automatic Control, vol. AC-26, pp. 235–252, Feb. 1981.
J.C. Willems, “Almost invariant subspaces: An approach to high gain feedback design — Part II: Almost conditionally invariant subspaces”, IEEE Transactions Automatic Control, vol. AC-27, Oct. 1982
W.M. Wonham, Linear Multivariable Control: A Geometric Approach, 2nd ed., New York: Springer-Verlag, 1979.
J.M. Schumacher, “Compensator design using (C,A,B)-pairs”, IEEE Transactions Automatic Control, vol. AC-25, pp. 1133–1138, 1980.
H. Ahashi and H. Imai, “Disturbance localization and output deadbeat control through an observer in discrete-time linear multivariable systems”, IEEE Transactions Automatic Control, vol. AC-24, pp. 621–627, 1979.
J.C. Willems, “Feedforward control, PID control laws, and almost invariant subspaces”, Systems & Control Letters, vol. 1, no. 4, pp. 277–282, 1982.
J.C. Willems, “Almost noninteracting control design using dynamic state feedback”, in Analysis and Optimization of Systems, A. Bensoussan and J.L. Lions, Eds., Lecture Notes in Control and Information Sciences, vol. 28, Springer Verlag, pp. 555–561, 1980.
J.C. Willems, “Les espaces presque-invariants” in Méthodes de Perturbation en Automatique,Editions CNRS, Paris, France, to appear.
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© 1983 Springer-Verlag Wien
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Willems, J.C. (1983). High Gain Feedback Control Synthesis. In: Ardema, M.D. (eds) Singular Perturbations in Systems and Control. International Centre for Mechanical Sciences, vol 280. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2638-7_7
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DOI: https://doi.org/10.1007/978-3-7091-2638-7_7
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