Robust guaranteed cost control of networked Takagi–Sugeno fuzzy systems with local nonlinear parts and multiple quantizations

Abstract

This paper researches the robust guaranteed cost (GC) control problem for a class of networked Takagi–Sugeno (T-S) fuzzy systems with local nonlinear segments and multiple quantizations, where the multiple quantizations mean that both the control input and the state are quantized through diverse dynamic quantizers. Three aspects are taken into account to perform the present study in depth. Firstly, the multiple quantizations case is investigated. Second, a novel cost function is exploited to perform the GC analysis issue, which consists of the quantized state and quantized control input. At last, a new control scheme is developed to fulfill the design of GC controller, where an additional nonlinear term is also employed besides the quantized state. By introducing auxiliary scalars and matrices, new conditions with regard to designing the dynamic quantizers and robust GC controllers are derived, which are expressed as a set of linear matrix inequalities (LMIs). Finally, a practical example is provided to verify the effectiveness of the obtained results.