Regular Papers

International Journal of Control, Automation and Systems 2007; 5(1): 8-14

© The International Journal of Control, Automation, and Systems

Robust and Non-fragile H∞ Control for Descriptor Systems with Parameter Uncertainties and Time Delay

Jong-Hae Kim and Do-Chang Oh

Sun Moon University, Korea

Abstract

This paper describes a robust and non-fragile H∞ controller design method for descriptor systems with parameter uncertainties and time delay, as well as a static state feedback controller with multiplicative uncertainty. The controller existence condition, as well as its design method, and the measure of non-fragility in the controller are proposed using linear matrix inequality (LMI) technique, which can be solved efficiently by convex optimization. Therefore, the presented robust and non-fragile H∞ controller guarantees the asymptotic stability and disturbance attenuation of the closed loop systems within a prescribed degree in spite of parameter uncertainties, time delay, disturbance input and controller fragility.

Keywords LMI, non-fragile control, parameter uncertainty, singular systems, time delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2007; 5(1): 8-14

Published online February 1, 2007

Copyright © The International Journal of Control, Automation, and Systems.

Robust and Non-fragile H∞ Control for Descriptor Systems with Parameter Uncertainties and Time Delay

Jong-Hae Kim and Do-Chang Oh

Sun Moon University, Korea

Abstract

This paper describes a robust and non-fragile H∞ controller design method for descriptor systems with parameter uncertainties and time delay, as well as a static state feedback controller with multiplicative uncertainty. The controller existence condition, as well as its design method, and the measure of non-fragility in the controller are proposed using linear matrix inequality (LMI) technique, which can be solved efficiently by convex optimization. Therefore, the presented robust and non-fragile H∞ controller guarantees the asymptotic stability and disturbance attenuation of the closed loop systems within a prescribed degree in spite of parameter uncertainties, time delay, disturbance input and controller fragility.

Keywords: LMI, non-fragile control, parameter uncertainty, singular systems, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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