Non-Fragile Fuzzy Tracking Control for Nonlinear Networked Systems with Dynamic Quantization and Randomly Occurring Gain Variations

Zhimin Li, Chengming Lu and Hongyu Wang ()
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Zhimin Li: School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China
Chengming Lu: School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China
Hongyu Wang: School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China

Mathematics, 2023, vol. 11, issue 5, 1-20

Abstract: This paper investigates the observer-based non-fragile output feedback tracking control problem for nonlinear networked systems with randomly occurring gain variations. The considered nonlinear networked systems are represented by a Takagi–Sugeno (T–S) fuzzy model. The dynamical quantization methodology is employed to achieve the reasonable and efficacious utilization of the limited communication resources. The objective is to design the observer-based non-fragile output feedback tracking controller, such that the resulting system is mean-square asymptotically stable with the given H ∞ tracking performance. Based on the descriptor representation strategy combined with the S-procedure, sufficient conditions for the existence of the desired dynamic quantizers and observer-based non-fragile tracking controller are proposed in the form of linear matrix inequalities. Finally, simulation results are provided to show the effectiveness of the proposed design method

Keywords: nonlinear networked systems; T–S fuzzy model; dynamic quantization; non-fragile tracking control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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