Robust Observer Design of One-Sided Lipschitz Nonlinear Systems

International audienceIn this paper focuses on the robust observerdesign for Lipschitz nonlinear systems uncertainparameters and L2 bounded admissible externaldisturbance. The one sided Lipschitz and quadraticallyinner-bounded conditions have been utilized toderive less conservative synthesis condition for theobserver design. Then, a new design methodology isestablished, with the help some special derivations,Bilinear Matrix Inequalities (BMIs) are successfullytransformed into a set of Linear Matrix Inequalities(LMIs) which can be solved using a single step resolutionprocedure. The effectiveness of the proposedmethod is validated via a numerical example