Robust gain-scheduled estimation: A convex solution

In this paper we present an algorithm for the systematic synthesis of robust gain-scheduled estimators through convex optimization. We consider uncertain linear parameter-varying (LPV) dynamical systems described in the standard LFT form, while the uncertainty and scheduling blocks in the interconnection are described by general dynamic and static full-block IQC-multipliers respectively. It is shown how to unify the recent results on robust ℒ₂-gain estimation with the well-known results on LPV control, resulting in LMI conditions for the existence of robust gain-scheduled estimators that guarantee a given ℒ₂-gain for the closed-loop system.