An adaptive control for globally stabilizing linear systems with unknown high-frequency gains

  • A. S. Morse
Session 2 Stability I
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)


This paper presents an algorithm for adaptively controlling a single-input, single-output process admitting an n-dimensional, minimum phase linear model of relative degree 1 or 2, with unknown parameters. Apriori knowledge of the sign of the model's high frequency gain is not required, and a sufficiently rich probing signal is not needed for stabilization.


Adaptive Control Adaptive Controller Present Controller Proper System Weighting Pattern 
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  1. [1]
    A. S. Morse, "Global Stability of Parameter-Adaptive Control Systems," IEEE Trans. Auto. Control, AC-25(3), June 1980, pp. 433–439.Google Scholar
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    K. S. Narendra, Y. H. Lin, L. S. Valavani, "Stable Adaptive Controller Design, Part II: Proof of Stability," ibid, pp. 440–448.Google Scholar
  3. [3]
    A. S. Morse, "Recent Problems in Parameter Adaptive Control," Proc. CNRS Colloquium on Development and Utilization of Mathematical Models in Automatic Control," Belle-Isle, France, Sept. 1982.Google Scholar
  4. [4]
    R. D. Nussbaum, "Some Remarks on a Conjecture in Parameter Adaptive Control," Systems and Control Letters, to appear.Google Scholar
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    J. C. Willems and C. I. Byrnes, "Global Adaptive Stabilization in the Absence of Information on the Sign of the Instantaneous Gain," Sixth Int. Conf. on the Analysis and Optimization of Systems, Nice, June 1984, to appear.Google Scholar
  6. [6]
    A. Feuer and A. S. Morse, "Adaptive Control of a Single-Input, Single-Output Linear System," IEEE Trans. Auto. Control, AC-23, Aug. 1978, pp. 557–569.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • A. S. Morse
    • 1
  1. 1.Department of Electrical EngineeringYale UniversityNew HavenUSA

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