Abstract
For linear dynamic plants, we consider a new class of controllers with adjustable parameters synthesized so as to reduce the integral indicators of the influence of initial and exogenous disturbances. The controller parameters are adjusted according to a differential equation in the direction of decrease of a local objective function. The conditions are stated under which the control objective is achieved, and the losses in comparison with time-invariant linear-quadratic and \( H_{\infty } \)-optimal controllers are given, including the case of degenerate functionals. It is shown how these controllers are used in adaptive linear-quadratic and \( H_{\infty } \)-optimal control for indeterminate plants whose parameters belong to a given polyhedron as well as in adaptive tracking of the reference model output.
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The author is grateful to the anonymous referees whose comments helped improve the manuscript.
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This work was supported financially by the Scientific and Educational Mathematical Center “Mathematics of Future Technologies,” agreement no. 075-02-2021-1394.
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Translated by V. Potapchouck
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Kogan, M.M. Adaptive \(H_{\infty }\)-Optimal Control. Autom Remote Control 83, 1246–1260 (2022). https://doi.org/10.1134/S0005117922080070
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DOI: https://doi.org/10.1134/S0005117922080070