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Logic-based switching and control

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Book cover Feedback Control, Nonlinear Systems, and Complexity

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 202))

A full-length version of this paper including proofs will appear at a later date. This research was supported by the National Science Foundation under Grant No. ECS-9206021, by the U. S. Air Force Office of Scientific Research under Grant No. F49620-94-I-0181.

Part of the author's research was done while he was visiting the Control and Dynamical Systems Group at the California Institute of Technology.

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References

  1. F. M. Pait. Achieving Tunability in Parameter Adaptive Control. PhD thesis, Yale University, 1993.

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  2. A. S. Morse. Supervisory control of families of linear set-point controllers — part 1: Exact matching. submitted for publication.

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  3. F. M. Pait and A. S. Morse. A cyclic switching strategy for parameter-adaptive control. IEEE Transactions on Automatic Control, 39(6):1172–1183, jun 1994.

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  4. J. P. Lasalle. The Stability of Dynamical Systems. Society for Industrial and Applied Mathematics, 1976.

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Bruce Allen Francis Allen Robert Tannenbaum

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Dedicated to George Zames on the occasion of his 60th birthday.

Abstract

Recently a new concept called “cyclic switching” was shown provide a viable solution to the long standing certainty equivalence stabilizability problem which arises in the design of estimator-based parameter adaptive controls because of the existence of points in parameter space where the estimated model upon which certainty equivalence control is based, looses stabilizability [1]. Still more recently a simple, ‘high-level’ controller called a ‘supervisor’ was proposed for the purpose of coordinating the switching into feedback with a siso process, of a sequence of linear positioning or set-point controllers from a family of candidate controllers, so as to cause the output of the process to approach and track a constant reference input [2]. The purpose of this paper is to demonstrate that cyclic switching and supervisory control are compatible concepts.

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© 1995 Springer-Verlag London Limited

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Morse, A.S. (1995). Logic-based switching and control. In: Francis, B.A., Tannenbaum, A.R. (eds) Feedback Control, Nonlinear Systems, and Complexity. Lecture Notes in Control and Information Sciences, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027677

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  • DOI: https://doi.org/10.1007/BFb0027677

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19943-4

  • Online ISBN: 978-3-540-39364-1

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