Proportional Derivative Observer Design for Nonlinear Singular Systems

This paper focuses on proportional derivative observer design for a class of Takagi-Sugeno fuzzy singular systems. According to the available knowledge on premise variables, first, observer design with known premise variables is considered, and explicit parametrization of the desired observer is also given. Moreover, observer design with unknown premise variables is further investigated. Some new conditions, which guarantee the error system to be robust stability, are derived. All the stability criterions are presented in linear matrix inequalities framework, which can be conveniently verified via Matlab. Finally, two illustrative examples are simulated to illustrate the correctness of the present schemes.