An Integrated Approach to Hypersonic Entry Attitude Control

Abstract

Abstract:This paper presents an integrated approach based on dynamic inversion (DI) and active disturbance rejection control (ADRC) to the entry attitude control of a generic hypersonic vehicle (GHV). DI is firstly used to cancel the nonlinearities of the GHV entry model to construct a basic attitude controller. To enhance the control performance and system robustness to inevitable disturbances, ADRC techniques, including the arranged transient process (ATP), nonlinear feedback (NF), and most importantly the extended state observer (ESO), are integrated with the basic DI controller. As one primary task, the stability and estimation error of the second-order nonlinear ESO are analyzed from a brand new perspective: the nonlinear ESO is treated as a specific form of forced Liénard system. Abundant qualitative properties of the Liénard system are utilized to yield comprehensive theorems on nonlinear ESO solution behaviors, such as the boundedness, convergence, and existence of periodic solutions. Phase portraits of ESO estimation error dynamics are given to validate our analysis. At last, three groups of simulations, including comparative simulations with modeling errors, Monte Carlo runs with parametric uncertainties, and a six degrees-of-freedom reference entry trajectory tracking are executed, which demonstrate the superiority of the proposed integrated controller over the basic DI controller.

A Class of Adaptive Extended State Observers for Nonlinear Disturbed Systems

“…Let Q(t) be a continuous, bounded, positive-definite, and symmetric matrix. Then, there exist positive c 3 and c 4 such that 0 < c 3 I ≤ Q(t) ≤ c 4 I then a Lyapunov function V (t, e) = e T (t)P (t)e(t) for (38) can be constructed, where P (t) is defined as that in (34) and satisfies…”

“…The overall control scheme was presented in [34]. In this paper, improvement is made by replacing the disturbance observer there with AESO.…”

“…As presented in [34], the overall attitude control system consists of a slow-state loop (for the angle of attack, bank angle, and sideslip angle dynamics) and a fast-state loop (for the roll rate, pitch rate, and yaw rate dynamics). The controller for each loop is synthesized by combining a basic dynamic inversion control law and an observer-based disturbance compensation law.…”