Double-quantized-based H∞ tracking control of T-S fuzzy semi-Markovian jump systems with adaptive event-triggered

AIMS Mathematics

article

Yuxin Lou¹  Mengzhuo Luo¹  Jun Cheng²  Xin Wang³  Kaibo Shi⁴ 

[1] College of Science, Guilin University of Technology;College of Mathematics and Statistics, Guangxi Normal University;School of Cyber Science and Engineering, Sichuan University;School of Information Science and Engineering, Chengdu University

关键词: fuzzy semi-Markovian jump systems;    asynchronous $ H_{\infty} $ control;    adaptive event-triggered mechanism;    double quantization;    tracking control;   

DOI  :  10.3934/math.2023351

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper investigates the issue of asynchronous $ H_{\infty} $ tracking control for nonlinear semi-Markovian jump systems (SMJSs) based on the T-S fuzzy model. Firstly, in order to improve the performance of network control systems (NCSs) and the efficiency of data transmission, this paper adopts a double quantization strategy which quantifies the input and output of the controllers. Secondly, for the purpose of reducing the burden of network communication, an adaptive event-triggered mechanism (AETM) is adopted. Thirdly, due to the influence of network-induce delay, the system mode information can not be transmitted to the controller synchronously, thus, a continuous-time hidden Markov model (HMM) is established to describe the asynchronous phenomenon between the system and the controller. Additionally, with the help of some improved Lyapunov-Krasovski (L-K) functions with fuzzy basis, some sufficient criteria are derived to co-guarantee the state stability and the $ H_{\infty} $ performance for the closed-loop tracking control system. Finally, a numerical example and a practical example are given to verify the effectiveness of designed mentality.

【 授权许可】

CC BY