Observer synthesis for a class of descriptor LPV systems
Résumé
In this paper, a simple method to synthesize an observer for continuous-time descriptor Linear Parameter Variant (D-LPV) systems is presented. The main contribution of this paper consists of an observer synthesis developed for descriptor LTI extended to LPV systems. The conditions for the existence of an LPV observer are given. Such conditions guarantee the convergence of the observer and they are proved through a Lyapunov like analysis based on Linear Matrix Inequality (LMI) formulation. The observer is evaluated through numerical simulations.