Command Tracking Control System Design and Evaluation for Hypersonic Reentry Vehicles Driven by a Reaction Control System

This paper addresses the command tracking control system (CTCS) design problem for plants involving input quantization and input saturation. A novel approach is proposed and demonstrated to the angle of attack (AOA) CTCS and bank angle CTCS of hypersonic reentry vehicles (HRV) driven by a reaction control system (RCS). First, the six-degree-of-freedom (6-DOF) nonlinear dynamic model of HRVand the mathematical model of RCS are established, and dynamic analysis is conducted based on the linearized model of HRV. Second, a general CTCS for plants involving input quantization and saturation is designed by solving a convex optimization problem based on linear matrix inequalities (LMIs). Formulations of the domains of attraction and convergence of the closed loop CTCS are derived. Furthermore, input to state stability (ISS) of the closed loop system is analyzed. Finally, the proposed approach is applied to design the longitudinal AOA CTCS and lateral-directional bank angle CTCS of HRV driven by an RCS. Validation simulations are conducted by using the linear model and the 6-DOF nonlinear dynamic model of HRV, which indicate that the proposed LMIs based approach is well suited for CTCS design for static-unstable plants and multiaxis coupling plants driven by actuators with quantization and saturation. (C) 2014 American Society of Civil Engineers.