Analysis of stabilizing control of discrete-time fuzzy bilinear system

The paper presents stability analysis and controller synthesis for T-S discrete-time fuzzy bilinear system (DFBS) with single-input and multiple-input, respectively. Based on the parallel distributed compensation (PDC) method, some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The conditions are represented in terms of linear matrix inequality (LMI) and the corresponding controller can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness of the presented methods.