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Automation and Remote Control

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01.09.2021 | LINEAR SYSTEMS

Static Controller Synthesis for Peak-to-Peak Gain Minimization as an Optimization Problem

verfasst von: B. T. Polyak, M. V. Khlebnikov

Erschienen in: Automation and Remote Control | Ausgabe 9/2021

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Abstract

An optimization approach to linear control systems has recently become very popular. For example, the linear feedback matrix in the classical linear-quadratic regulator problem can be viewed as a variable, and the problem can be reduced to the minimization of the performance indicator for this variable. To this end, one can apply the gradient method and obtain a justification of the convergence. This approach has been successfully applied to a number of problems, including output feedback optimization. The present paper is the first to apply this approach to the peak-to-peak gain minimization problem. A gradient method for finding a static state or output feedback is written out and justified. A number of examples are considered, including the single and double pendulums.

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Titel: Static Controller Synthesis for Peak-to-Peak Gain Minimization as an Optimization Problem
verfasst von: B. T. Polyak
M. V. Khlebnikov
Publikationsdatum: 01.09.2021
Verlag: Pleiades Publishing
Erschienen in: Automation and Remote Control / Ausgabe 9/2021
Print ISSN: 0005-1179
Elektronische ISSN: 1608-3032
DOI: https://doi.org/10.1134/S0005117921090034

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