An LMI approach to H∞ controller design for linear time-delay systems

doi:10.1016/S0005-1098(96)00242-7

Automatica

Volume 33, Issue 4, April 1997, Pages 737-739

https://doi.org/10.1016/S0005-1098(96)00242-7 Get rights and content

Abstract

We develop an output feedback H_∞ control design method for linear time-delay systems based on the linear-matrix-inequality (LMI) approach. A sufficient condition for the existence of H_∞ controllers of any order is given in terms of three LMIs. The condition is valid for both singular and regular problems. We also give a characterization of H_∞ controllers in state space. The LMI existence condition can be easily determined whether or not, it is feasible and if it is then one can easily obtain H_∞ controller gain matrices via convex optimization.

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^☆: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Editor Peter Dorato.

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Technical communiqueAn LMI approach to H∞ controller design for linear time-delay systems☆

Abstract

Automatica

Automatica

Conditions for positive and nonnegative definiteness in terms of pseudoinverses

SIAM J. Appl. Math.

State-space solution to standard Hd and H∞ control problems

IEEE Trans. Autom. Control

Technical communique
An LMI approach to H_∞ controller design for linear time-delay systems☆

State-space solution to standard H_d and H_∞ control problems