Continuous Recursive Sliding Mode Control for Hypersonic Flight Vehicle with Extended Disturbance Observer

Yunjie Wu,Jianmin Wang

doi:10.1155/2015/506906

Abstract

A continuous recursive sliding mode controller (CRSMC) with extended disturbance observer (EDO) is proposed for the longitudinal dynamics of a generic hypersonic flight vehicle (HFV) in the presence of multiple uncertainties under control constraints. Firstly, sliding mode tracking controller based on a set of novel recursive sliding mode manifolds is presented, in which the chattering problem is reduced. The CRSMC possesses the merits of both nonsingular terminal sliding mode controller (NTSMC) and high-order sliding mode controller (HOSMC). Then antiwindup controller is designed according to the input constraints, which adds a dynamic compensation factor in the CRSMC. For the external disturbance of system, an improved disturbance observer based on extended disturbance observer (EDO) is designed. The external disturbance is estimated by the disturbance observer and the estimated value is regarded as compensation in CRSMC for disturbance. The stability of the proposed scheme is analyzed by Lyapunov function theory. Finally, numerical simulation is conducted for cruise flight dynamics of HFV, where altitude is 110000 ft, velocity is 15060 ft/s, and Mach is 15. Simulation results show the validity of the proposed approach.

Highlights

Hypersonic flight vehicle (HFV) is a cost-effective and reliable space aircraft
For the external disturbance of system, an improved disturbance observer based on extended disturbance observer (EDO) is designed
Aiming at all the above, a continuous recursive sliding mode control (CRSMC) under control constraints is proposed for HFV in this paper, in which a compensation factor is added in continuous recursive sliding mode controller (CRSMC) for actuator restraints

Summary

Introduction

Hypersonic flight vehicle (HFV) is a cost-effective and reliable space aircraft. It can realize prompt global responses for its high speed. Xu et al [12] proposed adaptive sliding mode control for longitudinal dynamics of input-output linearization model of HFV, in which the uncertain parameters were estimated by adaptive laws based on Lyapunov synthesis approach. Feng et al [15] proposed nonsingular terminal sliding mode control and applied it to the rigid manipulators successfully. Aiming at all the above, a continuous recursive sliding mode control (CRSMC) under control constraints is proposed for HFV in this paper, in which a compensation factor is added in CRSMC for actuator restraints. In accordance with the theory of ESO and EDO, an improved disturbance observer (IEDO) is designed for the external disturbance of HFV in this paper.

Model and Problem Formulation

Controller and Observer Design

Composite Controller and Stability Analysis

Numerical Simulations

Conclusions