Observer synthesis for a class of descriptor LPV systems

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