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Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions

โœ Scribed by Valery A. Ugrinovskii; Ian R. Petersen

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
197 KB
Volume
36
Category
Article
ISSN
0005-1098

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โœฆ Synopsis

It is known in stability analysis that Lyapunov functions of the Lur'e-Postnikov form may have an advantage over quadratic Lyapunov functions. In this paper, a Lyapunov function of the Lur'e-Postnikov form is used for synthesis of a stabilizing controller for an uncertain system with structured norm-bounded uncertainty. An example is given which shows that a controller stabilizing the system with a Lur'e-Postnikov Lyapunov function may guarantee better performance, as compared to a controller synthesised using a standard quadratic Lyapunov function.

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