Reciprocally convex approach to H∞ control for linear systems with interval time-varying delay

This paper considers less conservative results on H ∞ control for linear systems with interval time-varying delay. In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new...

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Hauptverfasser: Cheng Wubin, Xiao Shenping, Zeng Hongbing, Bai Lei
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Xiao Shenping
Zeng Hongbing
Bai Lei
description This paper considers less conservative results on H ∞ control for linear systems with interval time-varying delay. In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new delay-dependent bounded real lemma (BRL). The BRL is applied to solve the H ∞ controller design by incorporating with the cone complementary minimization. A numerical example is finally given to show that the proposed method is effective and can provide less conservative results in this paper.
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subjects Attenuation
Delay
H ∞ Control
Interval Time-Varying Delay
Linear matrix inequalities
Linear Matrix Inequality (LMI)
Linear systems
Reciprocally Convex Approach
Stability
Stability analysis
Symmetric matrices
Time varying systems
title Reciprocally convex approach to H∞ control for linear systems with interval time-varying delay
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