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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)313-331
Number of pages19
JournalOptimal Control Applications and Methods
Volume29
DOIs
Publication statusPublished - 8 Oct 2008

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Gain Scheduling
Delay-dependent
Matrix Inequality
Scheduling
Controllers
Lyapunov-Krasovskii Functional
Costs
Time-varying Delay
Linear matrix inequalities
Controller Design
Linear Inequalities
Controller
Numerical Examples
Demonstrate
Simulation

Keywords

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

Cite this

Kucukdemiral, I. B. / Delay-dependent guaranteed cost gain-scheduling control of LPV state-delayed systems. In: Optimal Control Applications and Methods. 2008 ; Vol. 29. pp. 313-331.
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Delay-dependent guaranteed cost gain-scheduling control of LPV state-delayed systems. / Kucukdemiral, I. B.

In: Optimal Control Applications and Methods, Vol. 29, 08.10.2008, p. 313-331.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Kucukdemiral, I. B.

PY - 2008/10/8

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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.

KW - time-delayed systems

KW - guaranteed cost control

KW - gain-scheduling control

KW - Linear matrix inequality

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