In this paper, we present a systematic framework for the design of affine gain scheduled observers for affine LPV systems. The stability of the estimation error is based on the existence of an affine parameter dependent Lyapunov function. The main contribution of this paper is the fact that the observer synthesis is formulated as a more easily tractable condition. This is achieved by the application of the multiconvexity concept and the introduction of a slack variable which eliminates the coupling between the observer matrices and the parameter-dependent Lyapunov function.
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