Fuzzy Observer-Based Output Feedback Control of Stochastic Nonlinear Systems

This article addresses the observer-based output feedback controller synthesis for Ito stochastic nonlinear plants via Takagi-Sugeno fuzzy models. The unavailable system states are detected by designing a fuzzy observer. Based on an advanced matrix inequality, sufficient conditions for controller synthesis are obtained through a linearization procedure. The proposed controller synthesis method allows both the measurement output matrices and control input matrices of each local model to contain parameter uncertainties. Simulation studies are provided to illustrate the effectiveness of the proposed scheme.