H<sub>∞</sub> Control of Uncertain Fuzzy Networked Control Systems with State Quantization

Abstract

The problem of robust 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 fuzzy controller is constructed that guarantee asymptotic stabilization of the NCSs and expressed in LMIbased conditions. A numerical example illustrates the effectiveness of the developed technique.

Robust Constrained Model Predictive Control for T-S Fuzzy Uncertain System with Data Loss and Data Quantization

“…Recently, some researchers begin applying the T-S fuzzy model to describe complex nonlinear plant in NCSs, and more investigations have been carried out. e controller design and stability analysis for T-S fuzzy modelbased NCSs with data losses were considered in [41,42], and for NCSs with quantization, the same problems were addressed in [44,45].…”

Robust H_∞ Fuzzy Control for Nonlinear Networked Control System and its Application

“…It is well known that the dynamic of nonlinear systems can be systematically represented with T-S fuzzy model [2][3]. But since the premise variables of the T-S fuzzy system mostly depend on the state variables, only the delayed state of nonlinear systems can be transmitted to the controller over communication networks with finite capacity to facilitate the use of a controller.…”