Journal Article

·2007

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

İbrahim Beklan Küçükdemiral YTU

Optimal Control Applications and Methods

Abstract

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–Krakovskii 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. Copyright © 2007 John Wiley & Sons, Ltd.

Keywords

Control theory (sociology) Gain scheduling Scheduling (production processes) Linear matrix inequality Cost control Computer science Mathematical optimization Full state feedback Lyapunov function Mathematics Control (management) Nonlinear system

Subject Areas

Stability and Control of Uncertain Systems ·Control and Systems Engineering ·Physical Sciences
Neural Networks Stability and Synchronization ·Computer Networks and Communications ·Physical Sciences
Matrix Theory and Algorithms ·Computational Theory and Mathematics ·Physical Sciences

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