H_∞ Control of Uncertain Fuzzy Networked Control Systems with State Quantization

Magdi S. Mahmoud

Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

DOI: 10.4236/ica.2012.31008                

Abstract

The problem of robust H_∞ control for uncertain discrete-time Takagi and Sugeno (T-S) fuzzy networked control systems (NCSs) is investigated in this paper subject to state quantization. By taking into consideration network induced delays and packet dropouts, an improved model of network-based control is developed. A less conservative delay-dependent stability condition for the closed NCSs is derived by employing a fuzzy Lyapunov-Krasovskii functional. Robust H_∞ fuzzy controller is constructed that guarantee asymptotic stabilization of the NCSs and expressed in LMI-based conditions. A numerical example illustrates the effectiveness of the developed technique.

Keywords

Networked H_∞ Control; Fuzzy Systems; Discrete Time-Varying Delay; Linear Matrix Inequality (LMI)

Conflicts of Interest

The authors declare no conflicts of interest.

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