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Minimax controller design using rate feedback

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Abstract

A complete analytic characterization and solution construction (done either explicitly or by recursion) for the minimax control problem using optimal rate feedback is given for the case when the plant consists of a known fixed set of coupled oscillators of cardinality not exceeding three. When this is not the case, the problem appears to be analytically intractable, and suboptimal solutions based on numerical techniques are currently the only recourse.

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References

  1. N. K. Bose,Applied Multidimensional Systems Theory, Van Nostrand Reinhold, New York, 1982.

    MATH  Google Scholar 

  2. R. S. Bucy, M. K. Namiri, and J. R. Velman, Minimax control,Computers Math. Applic., 19, no. 4, pp. 51–63, 1990.

    Article  MATH  MathSciNet  Google Scholar 

  3. Y. Chen, Design of minimax control by a numerical approach, M.S. paper in electrical and computer engineering, The Pennsylvania State University, University Park, PA, May 1991.

    Google Scholar 

  4. D. Cox, J. Little, and D. O'Shea,Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 2nd edition, Springer-Verlag, New York, 1996, pp. 93–97.

    Google Scholar 

  5. M. K. Namiri, Minimax design and its application to robust large space structure control system design, Ph.D. dissertation, University of Southern California, Los Angeles, CA, Nov. 1985.

    Google Scholar 

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This research was supported by NSF grant ECS-9508620.

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Bose, N.K., Charoenlarpnopparut, C. Minimax controller design using rate feedback. Circuits Systems and Signal Process 18, 17–25 (1999). https://doi.org/10.1007/BF01206542

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  • DOI: https://doi.org/10.1007/BF01206542

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