T-S fuzzy modeling-based anti-disturbance tracking control for systems with nonlinear disturbances

This paper investigates the anti-disturbance tracking control problem for a class of MIMO systems with unknown nonlinear disturbances. Different from those classical anti-disturbance results, the typical T-S fuzzy models are firstly considered to describe the nonlinear disturbances. The disturbance observer based on T-S exogenous systems is thus presented to estimate the nonlinear disturbances. By integrating the PI-type control algorithm with the estimation of disturbance, a composite controller based on convex optimization theory is designed to ensure the system stability and convergence of the tracking error to zero. Meanwhile, the satisfactory disturbance estimation and attenuation performance can also be guaranteed. Finally, a numerical example for flight control systems is included to illustrate the effectiveness of the theoretical results.