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An adaptive controller design for linear state-delay systems with actuator failures

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  • Control Theory
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Abstract

In this paper, an adaptive fault tolerant controller is developed for a class of linear state delay systems against actuator failures. To design the controller, all parameters of the system are considered to be unknown, but the time delay value is assumed to be known. Actuator failures are characterized by some unknown system inputs are stuck at some unknown fixed values and at unknown time instants. The adaptive controller is designed based on SPR-Lyapunov approach for the cases with the relative degrees of one and two. Closed-loop system stability and asymptotic output tracking are proved using a suitable Lyapunov-Krasovskii functional for each case and the effectiveness of the proposed results has been illustrated through simulation studies.

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Correspondence to Marzieh Kamali.

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Recommended by Associate Editor Kyongsu Yi under the direction of Editor Shuzhi Sam Ge.

Marzieh Kamali received her B.S. degree in Biomedical Engineering from Amirkabir University of Technology, Tehran, Iran in 2004. She received her M.S. and Ph.D. degrees in Control Engineering from Isfahan University of Technology, Isfahan, Iran, in 2007 and 2012, respectively. She is currently an Assistant Professor at the Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran. Her research interests include adaptive control, time delay systems and fault tolerant control.

Javad Askari was born in 1964 in Isfahan-Iran. He received his B.Sc. and M.Sc. degrees in Electrical Engineering from Isfahan University of Technology in 1987 and from University of Tehran in 1993, respectively. He received also his Ph.D. degree in Electrical Engineering from University of Tehran in 2001 and under the supervision of Professor Jabedar. From 1988 to 1990 he worked at Isfahan Petrochemical Company in Isfahan. From 1999 to 2001, he received a grant from DAAD and joined Control Engineering department at Technical University Hamburg—Harburg in Germany, where he completed his Ph.D. with Professor Lunze’s research group. He is currently an associate professor at control engineering department of Isfahan University of Technology. He is a coauthor of some papers and three books. His current research interests are in control theory, particularly in the field of hybrid dynamical systems and fault-tolerant control, adaptive control of time delay systems, identification and electrical engineering curriculum.

Farid Sheikholeslam received his B.S. degree in Electronics from Sharif University of Technology, Tehran, Iran in 1990. He received his M.S. and Ph.D. degrees in Communications and Electrical Engineering from Isfahan University of Technology, Iran, in 1994 and 1998, respectively. Since 1999, he has been with the Department of Electrical and Computer Engineering at Isfahan University of Technology, Iran, where he is a Professor of Electrical Engineering. His research interests include control algorithms, stability analysis, nonlinear systems, intelligent control and robotics.

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Kamali, M., Askari, J. & Sheikholeslam, F. An adaptive controller design for linear state-delay systems with actuator failures. Int. J. Control Autom. Syst. 12, 599–608 (2014). https://doi.org/10.1007/s12555-011-9204-8

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  • DOI: https://doi.org/10.1007/s12555-011-9204-8

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