Observer-Based Sliding Mode Control for Networked Fuzzy Singularly Perturbed Systems Under Weighted Try-Once-Discard Protocol

In this article, the sliding mode control issue is investigated for a class of discrete-time Takagi-Sugeno fuzzy networked singularly perturbed systems via an observer-based technique. Moreover, to process the measurement output and schedule the transmission sequence for relieving the communication...

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Vydané v:IEEE transactions on fuzzy systems Ročník 30; číslo 6; s. 1889 - 1899
Hlavní autori: Wang, Jing, Yang, Chengyu, Xia, Jianwei, Wu, Zheng-Guang, Shen, Hao
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.06.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Bandwidth
Control systems
Control theory
Convexity
Dynamic stability
Fuzzy control
Fuzzy systems
Network control
Networked control systems
observer-based sliding mode control
Optimization
Protocols
Quantization (signal)
Robot sensing systems
singularly perturbed systems
Sliding mode control
Stability analysis
Symmetric matrices
Synthesis
Takagi–Sugeno fuzzy model
weighted try-once-discard protocol
ISSN:1063-6706, 1941-0034
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Shrnutí:In this article, the sliding mode control issue is investigated for a class of discrete-time Takagi-Sugeno fuzzy networked singularly perturbed systems via an observer-based technique. Moreover, to process the measurement output and schedule the transmission sequence for relieving the communication burden, a logarithmic quantizer and a weighted try-once-discard protocol are synthesized, which can further improve the network bandwidth utilization in networked control systems. Based on the fuzzy observer states, a novel fuzzy sliding surface is established by considering the singularly perturbed parameter properly, and we endeavor to synthesize a sliding mode control law such that the reachability of the prescribed sliding surface could be guaranteed. In addition, by virtue of the convex optimization theory and Lyapunov approach, sufficient conditions are developed to guarantee the asymptotic stability of the sliding mode dynamics as well as the error system with an expected <inline-formula><tex-math notation="LaTeX">H_{\infty }</tex-math></inline-formula> performance. Finally, a verification example is presented to illustrate the feasibility and effectivity of the proposed method.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3070125