H∞ trajectory tracking control for fuzzy descriptor systems

In this paper, we consider model reference H_infin trajectory tracking control of nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy descriptor systems. The descriptor system describes a wider class of systems and the standard state-space systems representation is a special case of descriptor systems. The dynamics of the given nonlinear system are represented by a fuzzy descriptor system and the design is carried out with a quadratic Lyapunov function. Sufficient conditions are derived in terms of linear matrix inequalities (LMIs) for satisfying the given H_infin tracking performance. Furthermore, the stability of the closed loop system is also ensured. The advantage of descriptor system based approach is that the number of LMI conditions for designing a controller is less than the state-space approach. Finally, a simulation example for controlling system using fuzzy descriptor system is presented to illustrate the effectiveness of the proposed control scheme.