Smooth Switching Tracking Control for a Class of Linear Time- Varying Systems with Input Quantization and Input Saturation

Abstract: This paper deals with the problem of robust smooth switching state feedback controller design for a class of linear timevarying systems with input quantization and input saturation, which is a common case in the practical engineering for modern flight vehicle. First, the problem statement is presented, in which a tracking problem is converted into a regulation problem by constructing a deviation system, the tracking error deviation is treated as the system performance and the conditions for smooth switching tracking control are discussed based on the theory of robust control technique. Secondly, the state feedback gain of the deviation system with input saturation and input quantization is designed by solving Linear Matrix Inequalities (LMIs) based convex optimization problem with the conditions for smooth switching tracking control being considered. Finally, validation simulations are carried out for the longitudinal dynamics model of hypersonic vehicle driven by Reaction Control System (RCS) to illustrate the effectiveness and rationality of the proposed approach.