Reliable Adaptive Controller for Uncertain System: An LMI Approach

Anahita Ghasemi; Ali Abootalebi  and Mohammad Mesbah

doi:10.17485/ijst/2014/v7i10.21

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Reliable Adaptive Controller for Uncertain System: An LMI Approach

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2014/v7i10.21

Year: 2014, Volume: 7, Issue: 10, Pages: 1663–1673

Original Article

Reliable Adaptive Controller for Uncertain System: An LMI Approach

Anahita Ghasemi¹ , Ali Abootalebi² and Mohammad Mesbah³

1 Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran; Ana_ghasemi2013@yahoo.com
2 Department of Electrical Engineering, Naghshejahan Institute of Higher Education, Isfahan, Iran; Abootalebi_a@alumni.iut.ac.ir
3 Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran; M_mesbah65@yahoo.com

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

This article deals with the reliable adaptive control with H∞ performance for linear systems considering actuator failures and uncertainty in state matrix based on LMI approach. The reliable controller parameters are adjusted online based on adaptive laws to compensate the actuator fault effect on system. The sufficient conditions for the existence of the reliable adaptive control with H∞ performance are derived in terms of Linear Matrix Inequalities (LMIs). This Scheme guarantees the asymptotic stability and desirable performance of closed-loop systems using reliable adaptive control with H∞ performance even in cases of actuator failures. The efficiency of our design method is finally verified by numerical example.

Keywords: Actuator Failures, LMI, Reliable Control, Uncertain System