Dynamic event-triggered adaptive fuzzy control for stochastic nontriangular nonlinear systems with unknown backlash-like hysteresis

Abstract

A finite-time adaptive control is discussed in this paper for stochastic nontriangular nonlinear systems with unknown backlash-like hysteresis. The performance function is introduced to ensure that the tracking error of the system converges to the specified region in a finite time. Secondly, a controller is proposed using the fuzzy logic systems to approximate the unknown functions and backstepping technique. In addition, adding the dynamic event-triggered mechanism is able to reduce the network resources more effectively. At last, a few simulation examples are presented to demonstrate effective performance.

Keywords:

• Stochastic nontriangular nonlinear systems
• finite-time convergence
• dynamic event-triggered control
• unknown backlash-like hysteresis

Disclosure statement

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

Data availability statement

The data that support the findings of this study are available from the corresponding author, Tan, upon reasonable request.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 62172135].

Notes on contributors

Yuyan Zheng

Yuyan Zheng received her B.S. degree from Nanjing University Of Finance & Economics, China, in 2021. She is currently a Graduate Student at Hefei University of Technology. Her research interests are in stochastic systems and adaptive control.

Jieqing Tan

Jieqing Tan received the B.S. degree in Mathematics from Xi'an Jiaotong University in 1984, a Master's degree in Mathematics from Hefei University of Technology and a Ph.D. in Computational Mathematics from Jilin University. He has worked in School of Mathematics of Hefei University of Technology since 1990 where he is now a professor. His current research interests include Non-linear Numerical Approximation, Computer Graphics, Image Processing and Intelligent Control.

Yangang Yao

Yangang Yao received his B.S. degree from Fuyang Normal University, China, in 2012, M.S. degree from Hefei University of Technology, China, in 2015 and a Ph.D. in Hefei University of Technology, China, in 2022. He is currently a postdoctoral fellow at University of Science and Technology of China. His research interests are in the stability theory and adaptive control.

Xu Zhang

Xu Zhang received her B.S. degree from Fuyang Normal University, China, in 2011 and M.S. degree from Hefei University of Technology, China, in 2014. She is currently a Doctoral Student at Hefei University of Technology. Her research interests are in stochastic systems and adaptive control.