Observer-Based Control of Discrete-Time Fuzzy Positive Systems with Time Delays

Abstract This paper presents a stabilization approach for discrete-time nonlinear positive systems with delays via T-S fuzzy model which is developed for both state feedback and observer-based output feedback cases. The state feedback controller is designed based on trajectory approach. The observer-based controller design is obtained based on linear copositive Lyapunov functional and the trajectory approach. The proposed stabilization conditions are formulated in terms of linear programs(LPs), which can be solved efficiently by using existing optimization techniques.