Adaptive sensor and actuator failure compensation for H_∞ static output control of linear systems: a new Lyapunov function method

ABSTRACT

This paper investigates the $H_{\mathrm{\infty }}$ static output feedback control problem for linear systems. The sensor and actuator may simultaneously suffer the total/partial loss of effectiveness. An adaptive fault-tolerant control scheme is developed by combination of linear matrix inequality method and adaptive mechanism. By estimating the inverses of failure factors online, the adverse effects of sensor and actuator failure can be compensated for. Finally, simulation results on the ‘Raptor-90’ helicopter verify the effectiveness of the proposed approaches.

Keywords:

• $H_{\mathrm{\infty }}$ fault-tolerant control
• adaptive control
• static output feedback
• linear matrix inequalities

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by the Funds of the National Natural Science Foundation of China (Grant Nos. 61621004 and 61420106016), and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries (Grant No. 2018ZCX03).

Notes on contributors

Lili Zhang

Lili Zhang received the B.S. degree in applied mathematics from the Inner Mongolia University of Science and Technology, Baotou, China, in 2012, and the M.S. degree in applied mathematics from the Liaoning University of Technology, Jinzhou, China, in 2015. She is currently pursuing the Ph.D. degree in control theory and engineering with Northeastern University, Shenyang, China. Her current research interests include adaptive control, robust control, fault-tolerant control, and event-triggered control.

Guang-Hong Yang

Guang-Hong Yang (SM’04) received the B.S. and M.S. degrees in Mathematics, and Ph.D. degree in control theory and control engineering with Northeast University, Shenyang, China, in 1983, 1986, and 1994, respectively. From 2001 to 2005, he was a Research Scientist/Senior Research Scientist with the National University of Singapore, Singapore. He is currently a Professor and the dean with the College of Information Science and Engineering, Northeastern University. His current research interests include fault-tolerant control, fault detection and isolation, cyber-physical systems, and robust control. He is a Deputy Editor-in-Chief for the Journal of Control and Decision, an Editor for the International Journal of Control, Automation and Systems, and an Associate Editor for the International Journal of Systems Science, the IET Control Theory and Applications and the IEEE Transactions on Fuzzy Systems.