Switching positive system event triggering T-S fuzzy control

Abstract

This paper presents a saturation control problem with a positive switching T-S fuzzy system based on event-triggering mechanism under continuous time. Firstly, a 1-norm event triggering mechanism is designed. Then, the multilinear co-positive Lyapunov function is applied to the closed-loop positive switching system with a T-S fuzzy control strategy under continuous time. Next, we consider constructing a cone invariant set to transform the actuator saturation problem into an interval form. The designed controller with a linear programming method guarantees both the positivity and stability of the closed-loop system. Finally, an example of a communication data network proves the effectiveness of the design. The main contents are (i) The event-triggering strategy under continuous time is used in the T-S switching positive system. (ii) A controller with input saturation is introduced into controllable subsystems. (iii) When determining the attractor domain of the system state, a cone domain is considered as a potential restriction.

KEYWORDS:

• T-S fuzzy control
• event trigger
• switching positive system
• actuator saturation

Disclosure statement

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

Additional information

Funding

This work was supported by Liaoning Revitalization Talents Program: [grant number XLYC1807138]; Shenyang Science and Technology Innovation Talent Support Plan: [grant number RC200530]; National Nature Science Foundation under Grant: [grant number 61673082].

Notes on contributors

Hongyuan Ma

HongYuan Ma is a master's degree holder from the School of Information Engineering, Shenyang University. His main research areas are intelligent control, intelligent optimisation and swarm intelligence algorithms.

Le Zhang

Le Zhang received his master’s and PhD degrees from Northeastern University in 2005 and 2008, respectively. He completed his post-doctorate research at the Dalian University of Technology in 2012. He is a professor at Shenyang University now. His research interests include intelligent control of nonlinear switched fuzzy systems, robotics and system stability analysis.

Hong Yang

Hong Yang is a master's supervisor and professor at the School of Information Engineering, Shenyang University. She has been recognised as an outstanding talent in higher education institutions in Liaoning Province, mainly engaged in research on hybrid control, switching control, path planning and other aspects.

Chao Yang

Chao Yang is pursuing his master's degree in control science and engineering at the School of Information Engineering, Shenyang University, His research interests include evolutionary computing, path planning, machine learning, etc.

Yu Zhang

Yu Zhang is a graduate student at the School of Information Engineering, Shenyang University, engaged in research on control methods for complex systems. She has published one paper as the first author and three papers as the second author.

Yiwen Hu

Yi Wenhu is studying for a master's degree in information engineering at Shenyang University, with a main research focus on swarm intelligence algorithms, path planning, etc.