Induced L2-norm observer-based controller design for continuous-time polytopic LPV systems

In this paper, we address the observer-based control of polytopic linear parameter varying (LPV) continuous-time systems for ensuring the closed-loop stability of the system in the absence of disturbance and to guarantee a pre-given induced L
₂
-norm performance criteria when disturbance exists. Lyapunov function analysis method underlies the observer-based control design. Using singular value decomposition (SVD) of the output system matrix of the LPV model, sufficient conditions in the structure of linear matrix inequalities (LMI) are presented. The merit of the proposed design scheme is illustrated through a numerical simulating example.