Robust controller design for Nonlinear Uncertain Stochastic Drum-Boiler System

The robust stability criterion is proposed for Nonlinear Uncertain Stochastic Drum-Boiler System (NUSDBS) in this paper. Based on the modelling approach, the considered system is described by LPV T-S stochastic fuzzy model. Based on Parameter Distributed Compensation (PDC) and gain-scheduled schemes, the stabilization problem is discussed and researched for controlling NUSDBS. By using the Itô formula and Lyapunov function, the sufficient conditions are derived in this paper. Using the stability criterion, fuzzy gain-scheduled controller can be built such that the asymptotical stability of system is achieved in the sense of mean square. At least, the proposed design method is employed to establish fuzzy gain-scheduled controller such that closed-loop NUSDBS is asymptotically stability.