Asynchronous Nonfragile Guaranteed Cost Control for Impulsive Switched Fuzzy Systems With Quantizations and Its Applications

This article investigates the nonfragile guaranteed cost (GC) control problem of discrete-time impulsive switched Takagi-Sugeno (T-S) fuzzy systems with input quantization and asynchronous switching. The model-dependent dynamic quantizers are applied to obtain the quantized input signal. To deeply s...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 30; no. 10; pp. 4471 - 4483
Main Authors Zheng, Qunxian, Xu, Shengyuan, Du, Baozhu
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asynchronous switching
Control systems
Cost function
Counters
Dwell time
dynamic quantization
Fuzzy control
Fuzzy systems
guaranteed cost control
impulsive switched Takagi–Sugeno (T–S) fuzzy systems
Linear matrix inequalities
Mathematical analysis
Measurement
Nonlinear systems
Performance indices
piecewise cost function
Quantization (signal)
Stability criteria
Switches
Switching
Symmetric matrices
Online AccessGet full text

Cover

More Information
Summary:This article investigates the nonfragile guaranteed cost (GC) control problem of discrete-time impulsive switched Takagi-Sugeno (T-S) fuzzy systems with input quantization and asynchronous switching. The model-dependent dynamic quantizers are applied to obtain the quantized input signal. To deeply study the GC performance analysis and GC control problems in the presence of quantization, asynchronous switching, and impulses, a novel piecewise cost function containing the quantized input instead of normal input is applied in this article. By using the mode-dependent average dwell time approach and introducing a class of Lyapunov-like functions allowing to increase during the asynchronous period, new sufficient conditions are established to guarantee the asymptotical stability with the GC performance index for the impulsive switched T-S fuzzy systems with quantized control input and asynchronous switching. Then, new design conditions about the nonfragile GC controllers and dynamic quantizers of impulsive switched T-S fuzzy systems are obtained in the form of linear matrix inequalities. Finally, a numerical example and a practical example are provided.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2022.3153144