Dissipative Control for Singular T-S Fuzzy Markov Jump Systems Under Quantized Feedback

Abstract

In this paper, we investigate the design problem of the feedback controller for singular T-S fuzzy Markov jump system considering the influence of uncertainties, time-delay, and signal quantization. A sufficient condition is obtained to guarantee the closed-loop system not only stochastically admissible but also dissipative. Subsequently, the dissipative quantized controller is designed by solving the linear matrix inequalities (LMIs), which takes into consideration the nonrepresentational energy, storage function, and supply rate for the disturbance weaken and gives a unified framework that can include the existing results for passivity and H∞ controllers as special cases for the considered system. Finally, numerical examples have illustrated the effectiveness of the proposed method.

Keywords

• Dissipative control
• singular T-S fuzzy system
• Markov jump
• quantized feedback