Adaptive Sliding Mode Control for Spacecraft Rendezvous With Unknown System Parameters and Input Saturation

Abstract

In this study, we investigated the sliding mode control (SMC) for the spacecraft rendezvous maneuver under unknown system parameters and input saturations. On the basis of the attitude and position tracking subsystem, two anti-saturation sliding mode surfaces (SMSs) are constructed to guarantee the exponential convergence of tracking errors between the target spacecraft and the pursuer spacecraft. In connection with hyperbolic tangent, a modified auxiliary system is established to compensate the nonlinear constraint caused by the actuator saturation. Meanwhile, in order to enhance the practicability and reliability of the controller, unknown inertial information is taken into consideration. The resulting system uncertainties are estimated accurately via adaptive laws. Additionally, it is concluded that the designed controller is capable of ensuring the boundedness of the closed-loop signals with reasonable selection of control parameters. Finally, the effectiveness and advantages of the proposed methods are verified through numerical simulations.INDEX TERMS spacecraft rendezvous maneuver; asymptotic tracking control; sliding mode control; input saturation; adaptive control.

Refined Disturbance Rejection-Based Composite Control of Flexible Spacecrafts for Tracking a Tumbling Non-Cooperative Target

“…The uncertainty δ0 is supposed to be bounded by a known constant ℏ 0 , that is, the inequality δ0 ≤ ℏ 0 holds. Remark 3: In the traditional anti-disturbance methods [10], [25]- [27], all the disturbances are generally classified as one equivalent variable (norm-bounded or slowly timevarying variable), which is a relatively reasonable assumption when the dynamics of disturbances are unclear. However, for the rigid-flexible coupling disturbance, though the modal displacement is unknown, the modal frequency and damping ratio can be obtained [30].…”

“…For the position and/or attitude tracking control of spacecrafts, many related anti-disturbance control methods including adaptive control, backstepping control, disturbance rejection control, and composite hierarchical anti-disturbance control (CHADC) have been investigated, which can be applied to the proximity process [6]- [9]. In [10], an adaptive control algorithm is proposed for the spacecraft rendezvous VOLUME 4, 2016 maneuver in the presence of parameter uncertainty and input saturation. By combining an adaptive law with a backstepping control law, an integrated anti-disturbance position and attitude control method is proposed in [11] for spacecraft proximity process.…”

An adaptive fuzzy sliding‐mode control method for leader‐follower consensus of uncertain non‐square nonlinear systems

“…In order to design adaptive control schemes in the presence of input saturation, several methods have been proposed based on defining compensation gains [31][32][33][34][35] and auxiliary systems. [36][37][38][39] Furthermore, for nonlinear MASs in the non-strict-feedback form under input saturation, distributed adaptive control schemes have been designed to achieve leader-follower synchronization, 40 finite-time prescribed performance leader-follower tracking, 41 and containment. 42 In References 40-42, the auxiliary signals have been employed to compensate for the inconsistency between the designed control inputs and the saturated control inputs.…”

Discrete gain scheduling control approach to elliptical orbit rendezvous system with actuator saturation

“…For example, the linear matrix inequality (LMI) approach was applied in References 6‐8 to solve the robust $$$ {H}_{\infty } $$$ control problem of spacecraft rendezvous system with input constraint. An adaptive sliding mode control approach was proposed in Reference 9 to study the maneuver of spacecraft rendezvous with input saturation, where system parameters are unknown. In Reference 10, a robust composite nonlinear feedback control approach was utilized to design an orbital controller for the spacecraft rendezvous system under the conditions of parameter uncertainty, external disturbances, and input saturation.…”