Robust fuzzy sampled-data attitude control of spacecraft with actuator saturation and persistent disturbance

Abstract

This paper is concerned with robust fuzzy attitude control of spacecraft with aperiodically sampled measurements, actuator saturation, and persistent disturbance. Takagi-Sugeno (T-S) fuzzy model is employed to describe the kinematics and dynamics of spacecraft. Under the constraint of actuator saturation, a digital fuzzy controller consisting of discrete-time states and an exponentially decaying term is newly proposed to carry out exponential attitude stabilization of the considered spacecraft. Moreover, compared with H∞ performance most often encountered when considering robust attitude control of spacecraft, L∞-gain performance is designed to deal with persistent bounded disturbance in this study. Based on time-dependent Lyapunov functional and invariant set, the stability of closed-loop system is strictly proved. With the aid of convex optimization techniques, the desired sampled-data controller can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, illustrative simulation results are presented to validate the effectiveness of the theoretical developments shown in this paper.