A Suboptimal Tracking Control Approach Based on the State-Dependent Riccati Equation Method

Abstract

This paper presents a tracking control based on the SDRE method applied to a rigid spacecraft dynamics. In literature, the SDRE tracking control is performed by applying an integral servomechanism, which will enhance the complexity of systems due to the increasing number of state variables. The presented approach is extended from the linear quadratic tracking problems to the nonlinear quadratic-like tracking problems. By solving the algebraic Riccati equation and an auxiliary equation, the presented approach provides a suboptimal solution. A numerical example demonstrates the attitude and position tracking control of a rigid spacecraft, and the results show that the tracking errors approach to zeros as time increases.