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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J. D. Boskovic, S.-H. Yu, and R. K. Mehra, “Stable scheme adaptive fault-tolerant control of overactuated aircraft using multiple models, switching and tuning,” Proc. of the AIAA Guidance, Navigation and Control Conf., pp. 739–749, 1998.
M. Gopinathan, J. D. Boskovic, R. K. Mehra, and C. Rago, “A multiple model predictive scheme for fault-tolerant flight control design,” Proc. of the 37th IEEE Conf. on Decision and Control, pp. 1376–1381, 1998.
J. D. Boskovic and R. K. Mehra, “Stable multiple model adaptive flight control for accommodation of a large class of control effector failures,” Proc. of American Control Conf., pp. 1920–1924, 1999.
P. M. Franke, “Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-A survey and some new results,” Automatica, vol. 26, no. 3, pp. 459–474, 1990.
J. D. Boskovic, S. Li, and R. K. Mehra, “Intelligent control of spacecraft in the presence of actuator failures,” Proc. of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, December, pp. 4472–4477, 1999.
H. Hammouri, M. Kinnaert, and E. H. El. Yaagoubi, “Observer-based approach to fault detection and isolation for nonlinear systems,” IEEE Trans. Auto. Cont., vol. 44, no. 10, pp. 1879–1884, 1999.
J. P. Gao, B. Huang, Z. D. Wang, and D. G. Fisher, “Robust reliable control for a class of uncertain nonlinear systems with time-varying multistate time delays,” Int. Journal of Systems Sciences, vol. 32, no. 7, pp. 817–824, 2001.
G.-H. Yang, J. L. Wang, and Y. C. Soh, “Reliable H ∞ controller design for linear systems,” Automatica, vol. 37, no. 5, pp. 717–725, 2001.
S.-L. Dai and J. Zhao, “Reliable H ∞ controller design for a class of uncertain linear systems with actuator failures,” Int. Journal of Control Automation and Systems, vol. 6, no. 6, pp. 954–959, 2008.
M. L. Corradini and G. Orlando, “A sliding mode controller for actuator failure compensation,” Proc. of the 42nd IEEE Conf. on Decision and Control, pp. 4255–4260, 2003.
M. Bodson and J. E. Groszkiewicz, “Multivariable adaptive algorithms for reconfigurable flight control,” IEEE Trans. Cont. Syst. Technol., vol. 5, no. 2, pp. 217–229, 1997.
J. D. BoSkoviec, S.-H. Yu, and R. K. Mehra, “A stable scheme for automatic control reconfiguration in the presence of actuator failures,” Proc. of American Control Conference, pp. 2455–2459, 1998.
G. Tao, S. M. Joshi, and X. Ma, “Adaptive state feedback and tracking control of systems with actuator failures,” IEEE Trans. Auto. Cont., vol. 46, no. 1, pp. 78–95, 2001.
G. Tao, S. Chen, and S. M. Joshi, “An adaptive control scheme for systems with unknown actuator failures,” Automatica, vol. 38, no. 6, pp. 1027–1034, 2001.
G. Tao, S. Chen, and S. M. Joshi, “An adaptive actuator failure compensation using output feedback,” IEEE Trans. on Auto. Cont., vol. 47, no. 3, pp. 506–551, 2002.
S. Chen, G. Tao, and S. M. Joshi, “Adaptive actuator failure compensation designs for linear systems,” Int. Journal of Control Automation and Systems, vol. 2, no. 1, pp. 1–14, 2004.
Q. Zhao and C. Cheng, “State-feedback control for time-delayed systems with actuator failures,” Proc. of American Control Conference, pp. 827–832, 2003.
B. M. Mirkin and P.-O. Gutman, “Coordinated decentralized MRAC of delayed plants with actuator failures,” Proc. of the 14th IEEE Conf. on Decision and Control, pp. 2218–2223, 2005.
B. M. Mirkin and P.-O. Gutman, “Model reference adaptive control of state delayed system with actuator failures,” Int. Journal of Control, vol. 78, no. 3, pp. 186–195, 2005.
D. Ye and G.-H. Yang, “Adaptive fault-tolerant dynamic output feedback control for a class of linear time-delay systems,” Int. Journal of Control Automation and Systems, vol. 6, no. 2, pp. 149–159, 2008.
R. Wang and J. Zhao, “Guaranteed cost control for a class of uncertain delay systems with actuator failures based on switching method,” Int. Journal of Control Automation and Systems, vol. 5, no. 5, pp. 492–500, 2007.
B. M. Mirkin and P.-O. Gutman, “Output-feedback model reference adaptive control for continuous state delay systems,” J. of Dynamic Systems, Measurements and Control, vol. 125, no. 2, pp. 257–261, 2003.
P. A. Ioannou and J. Sun, Robust Adaptive Control, Prentice-Hall, NJ, 1996.
S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence and Robustness, Prentice-Hall, Englewood Cliffs, NJ, 1989.
F. Zheng, Q. G. Wang, and T. H. Lee, “Adaptive robust control of uncertain time delay systems,” Automatica, vol. 41, no. 8, pp. 1375–1383, 2005.
L. Hsu, R. R. Costa, and F. Lizarralde, “Lyapunov/passivity-based adaptive control of relative degree two MIMO systems with an application to visual servoing,” Proc. of American Control Conference, pp. 2682–2687, 2006.
M. Kamali and J. Askari, “Output-feedback MRAC for continuous state delay systems: the relative degree two case,” Proc. 26th Chinese Control Conference, pp. 830–834, 2007.
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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