Quantized Guaranteed Cost Output Feedback Control for Nonlinear Networked Control Systems and Its Applications

The quantized guaranteed cost static output feedback control problem is investigated for a class of discrete-time nonlinear networked control systems in this article. In this article, the Takagi-Sugeno fuzzy model is put to use for the representation of considered nonlinear networked control systems...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 30; no. 7; pp. 2402 - 2411
Main Authors Zheng, Qunxian, Xu, Shengyuan, Du, Baozhu
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Computational modeling
Control systems
Counters
Discrete time systems
Dynamic quantizations
Feedback control
Fuzzy systems
guaranteed cost (GC) control
Linear matrix inequalities
Mathematical analysis
Mechanical systems
Network control
Networked control systems
Nonlinear control
nonlinear networked control systems (NCSs)
Output feedback
Quantization (signal)
Scalars
static output feedback (SOF) control
Takagi-Sugeno model
Takagi–Sugeno (T–S) fuzzy model
Uncertainty
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Summary:The quantized guaranteed cost static output feedback control problem is investigated for a class of discrete-time nonlinear networked control systems in this article. In this article, the Takagi-Sugeno fuzzy model is put to use for the representation of considered nonlinear networked control systems, where local nonlinear models instead of local linear models are used in the Takagi-Sugeno fuzzy model. Two different dynamic quantizers are applied to quantize the control input and measurement output, respectively. Different from some previous work, a novel guaranteed cost performance function including the quantized control input is used in this article. Through using the <inline-formula><tex-math notation="LaTeX">S</tex-math></inline-formula>-procedure and introducing some auxiliary scalars, sufficient conditions for the design of guaranteed cost static output feedback controller and dynamic quantizers are obtained in the form of linear matrix inequalities. Finally, the applicability of the proposed method is illustrated through the application in nonlinear mass-spring-damper mechanical system.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3082691