Output feedback predictive control for discrete quasilinear systems with application to spacecraft flying‐around

Abstract

AbstractThis paper considers a spacecraft flying‐around problem modeled by discrete quasilinear system under sight coordinate, which can be regarded as an output tracking for discrete quasilinear system. An output feedback predictive control scheme is presented to deal with the flying‐around task. This scheme contains the design of output feedback and the optimization of tracking performance. On the one hand, the completely parametric form of output feedback based on generalized Sylvester equation is developed to stabilize the closed‐loop nominal system. On the other hand, a cost function, aimed to measure tracking performance, is optimized by the design of predictive control such that tracking performance is ensured. Further analysis proposes a necessary and sufficient condition based on Lyapunov method to maintain both bounded stability and tracking performance of the closed‐loop system caused by output feedback predictive control. Compared with the existing method, a numerical simulation is given to richly demonstrate the effectiveness and feasibility of the proposed control scheme.