Command filter-based event-triggered adaptive fixed-time output-feedback control for large-scale nonlinear systems

Abstract

This paper studies the issue of event-triggered adaptive fixed-time control for uncertain large-scale nonlinear systems. A state observer is employed to estimate unknown states. By combining the technologies of command filter and backstepping control, a command filtered-based fixed-time adaptive control approach is proposed, which can cope with the issue of ‘complexity explosion’ in the backstepping design scheme. Meanwhile, a novel continuous hyperbolic tangent function is designed to handle the difficulty of fixed-time stability analysis with output-feedback control form, where two types of observer errors are needed in the designed Lyapunov function to achieve the fixed-time stability. Further, based on the event-triggered strategy, an event-triggered fixed-time adaptive controller is designed. Based on Lyapunov stability theory, it is proven that all signals of the closed-loop system are bounded. Finally, the effectiveness of the presented approach is validated by a simulation.

Keywords:

• Large-scale nonlinear systems
• fixed-time control
• command filter
• event-triggered control

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was partially supported by the National Natural Science Foundation of China [62003052], the PhD Start-up Fund of Liaoning Province [2020-BS-239].

Notes on contributors

Yuanbo Su

Yuanbo Su received the B.S. degree in electrical engineering and its automation from Zhonghuan Information College Tianjin University of Technology, Tianjin, China, in 2019. He is currently pursuing the M.S. degree in control theory and control engineering with Bohai University, Jinzhou, China. His current research interests include adaptive fuzzy control, fixed-time control and interconnected nonlinear systems.

Hong Xue

Hong Xue received the B.S. degree in mathematics from Bohai University, Jinzhou, China, in 2009, the M.S. degree in system theory from the Institute of Complexity Science, Qingdao University, Qingdao, China, in 2012. She is currently a Lecturer with the Bohai University, Jinzhou, China. Her current research interests include adaptive control, fuzzy control and their applications.

Yan Wang

Yan Wang received the B.S. degree in mathematics and applied mathematics from Suihua University, Suihua, China, in 2019. She is currently pursuing the M.S. degree in applied mathematics with Bohai University, Jinzhou, China. Her current research interests include containment control, finite-time control and adaptive control.

Yingnan Pan

Yingnan Pan received the B.S. degree in mathematics and applied mathematics and the M.S. degree in applied mathematics from Bohai University, Jinzhou, China, in 2012 and 2015, respectively, and the Ph.D. degree in navigation guidance and control from Northeastern University, Shenyang, China, in 2019. He is currently a Lecturer with Bohai University, Jinzhou, China. His current research interests include fuzzy control, robust control, event-triggered control and their applications.