Observer-based reliable passive control for uncertain T–S fuzzy systems with time-delay

ABSTRACT

This paper is concerned with the problem of observer-based reliable passive control for uncertain Takagi–Sugeno (T–S) fuzzy systems with time-delay and actuator faults. By employing Lyapunov stability theory, fault treatment method and linear matrix inequalities (LMIs), a sufficient condition on the existence of an observer-based reliable passive controller is given. Further, the LMI conditions are proposed for the observer-based reliable passive controller design. The gain of reliable controller and observer can be obtained by solving the proposed LMIs. Using the reliable passive controller, the closed-loop system is not only internally stable but also strictly passive even though some actuator components fail and system state fails to be measured completely. Finally, a truck-trailer system example is given to verify the effectiveness and advantages of the designed approach.

KEYWORDS:

• Uncertain T–S fuzzy systems
• time-delay
• observer
• reliable passive control

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Hao Yan

Hao Yan received his BSc degree in Computer Science and Technology from Shenyang Institute of Engineering, China, in 2014 and his MSc degree in Software Engineering from Shenyang Jianzhu University, China, in 2017. He is working towards the PhD degree in Control Theory and Control Engineering from Northeastern University, China. His current research interests include fuzzy control, robust control, passive control and reliable control.

Jianwen Wang

Jianwen Wang received his BSc degree in Mathematics from Northeast Normal University, China, in 1983. He is currently an Associate Professor in the Department of the Basic Courses, Shenyang Institute of Engineering, China. His current research interests include robust control and reliable control.

Fuzhong Wang

Fuzhong Wang received his BSc degree in Basic Mathematics from Shenyang Normal University, China, in 1984 and his MSc degree in Computer Software and Application from Liaoning University, China, in 1999. He received his PhD degree in Control Theory and Control Engineering from Northeastern University, China. He is currently a Professor in the Department of the Basic Courses, Shenyang Institute of Engineering, China. His current research interests include robust control and reliable control.

Zhiqiang Wang

Zhiqiang Wang received his BSc degree in Electrical Engineering and Automation from Shijiazhuang University, China, in 2015 and his MSc degree in Control Science and Engineering from Northeast Electric Power University, China, in 2018. He is working towards the PhD degree in Control Theory and Control Engineering from Northeastern University, China. His current research interests include robust control and switched control.

Shuangquan Zou

Shuangquan Zou received his BSc degree in Automation from Shenyang Jianzhu University, China, in 2014. He is working towards the MSc degree in Control Engineering from Harbin Institute of Technology, China. His current research interests include robust control, reliable control and dynamics of soft manipulator.