LMI-based Design of State-Derivative Feedback Control for Takagi-Sugeno Fuzzy Descriptor Systems

This paper is concerned to present design conditions for state-derivative feedback control for Takagi-Sugeno fuzzy descriptor models. The main contribution is to derive a PDC control law without the requirement to rewrite the fuzzy model to fit in some specific format. We propose sufficient conditions as Linear Matrices Inequalities with or without the decay rate constraint in the trajectories, assuming that all eigenvalues of the fuzzy plant models are not-null. Three examples illustrate the effectiveness the proposed conditions to derive gains for the state-derivative control law to stabilize nonlinear descriptor systems.