Delay-dependent guaranteed cost gain-scheduling control of LPV state-delayed systems

I. B. Kucukdemiral

doi:10.1002/oca.829

Delay-dependent guaranteed cost gain-scheduling control of LPV state-delayed systems

I. B. Kucukdemiral

Instrumentation and Control

Research output: Contribution to journal › Article

Abstract

Delay-dependent gain-scheduling controller design problem is addressed for the linear parameter-varying state-delayed systems with time-varying delays. By choosing a Lyapunov Krasovskii functional, delay-dependent conditions for the existence of guaranteed cost gain-scheduling controller are obtained. Besides, an algorithm is also presented to solve resultant nonconvex matrix inequalities in terms of linear matrix inequalities. Finally, three numerical examples with simulations are illustrated in order to demonstrate the validity of the proposed method.

Original language	English
Pages (from-to)	313-331
Number of pages	19
Journal	Optimal Control Applications and Methods
Volume	29
DOIs	https://doi.org/10.1002/oca.829
Publication status	Published - 8 Oct 2008

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Keywords

time-delayed systems
guaranteed cost control
gain-scheduling control
Linear matrix inequality

Cite this

Kucukdemiral, I. B. (2008). Delay-dependent guaranteed cost gain-scheduling control of LPV state-delayed systems. Optimal Control Applications and Methods, 29, 313-331. https://doi.org/10.1002/oca.829

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abstract = "Delay-dependent gain-scheduling controller design problem is addressed for the linear parameter-varying state-delayed systems with time-varying delays. By choosing a Lyapunov Krasovskii functional, delay-dependent conditions for the existence of guaranteed cost gain-scheduling controller are obtained. Besides, an algorithm is also presented to solve resultant nonconvex matrix inequalities in terms of linear matrix inequalities. Finally, three numerical examples with simulations are illustrated in order to demonstrate the validity of the proposed method.",

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N2 - Delay-dependent gain-scheduling controller design problem is addressed for the linear parameter-varying state-delayed systems with time-varying delays. By choosing a Lyapunov Krasovskii functional, delay-dependent conditions for the existence of guaranteed cost gain-scheduling controller are obtained. Besides, an algorithm is also presented to solve resultant nonconvex matrix inequalities in terms of linear matrix inequalities. Finally, three numerical examples with simulations are illustrated in order to demonstrate the validity of the proposed method.

AB - Delay-dependent gain-scheduling controller design problem is addressed for the linear parameter-varying state-delayed systems with time-varying delays. By choosing a Lyapunov Krasovskii functional, delay-dependent conditions for the existence of guaranteed cost gain-scheduling controller are obtained. Besides, an algorithm is also presented to solve resultant nonconvex matrix inequalities in terms of linear matrix inequalities. Finally, three numerical examples with simulations are illustrated in order to demonstrate the validity of the proposed method.

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KW - guaranteed cost control

KW - gain-scheduling control

KW - Linear matrix inequality

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Documents and Links

10.1002/oca.829