Model-Dependent Energy-to-Peak Control for Switched Fuzzy Singular Systems With Dynamic Quantization

This paper is concerned with the energy-to-peak (E2P) feedback control for discrete-time switched Takagi-Sugeno fuzzy (STSF) singular systems with input quantized. The main challenge of this work comes from the difficulty of solving the semi-positive problem on the main diagonal in the E2P feedback control design. In order to further study the E2P control problem in the presence of dynamic quantization strategy and fuzzy switching mechanism, a new method is proposed to ensure the E2P performance index and stochastic stability of closed-loop singular (CLS) systems. Then, the design conditions of model-dependent proportional plus derivative (MDPPD) state feedback controllers and mode-dependent (MD) dynamic quantizers for STSF singular systems are obtained in the form of linear matrix inequalities. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design method.