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A state space approach to the problem of adaptive pole assignment

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Abstract

An adaptive pole-placement algorithm for the class of single-input/ single-output systems of ordern is proposed. The asymptotic properties of the algorithm do not depend on persistently exciting signals. Excitation is used only initially to avoid pole-zero cancellation of the parameter estimates. The main result is that the asymptotic behavior of the system equals the behavior we would have obtained on the basis of knowledge of the true system. This does not imply full identification of the desired control law, so we propose the descriptive termweak self-tuning.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands

    Jan Willem Polderman

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  1. Jan Willem Polderman
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The results presented in this paper were obtained while the author was with the Centre for Mathematics and Computer Science in Amsterdam

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Polderman, J.W. A state space approach to the problem of adaptive pole assignment. Math. Control Signal Systems 2, 71–94 (1989). https://doi.org/10.1007/BF02551362

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  • DOI: https://doi.org/10.1007/BF02551362

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