Reachable Estimation and Compensation Boundaries for the Large-Scale Interconnected Fuzzy Systems

This study focuses on estimation and compensation on the unknown measurement noises of large-scale systems subject to nonlinear dynamics and interconnections. Interval type-2 T-S fuzzy model is used to describe each nonlinear subsystem. For the sake of attenuating adverse impacts from the unknown measurement noises, a combined method of reachable set bounding and estimation-compensation control is proposed. First, we introduce an augmented fuzzy observer that fulfills a simultaneous estimation for the system states and unknown measurement noises, which guarantees that the estimation error is bounded within the ellipsoidal boundary. Then, a fuzzy compensation controller is used to attenuate the impacts from the unknown measurement noises. Finally, simulation results show the effectiveness of our method against the unknown measurement noises.