Abstract:This paper presents a sliding mode controller for the deployment of two-body tethered satellite system. A sliding surface design for underactuated system is employed to reconcile pure-tension control scheme with non-linear coupled deployment dynamics. The proposed sliding surface is strictly non-linear. Hence, the control scheme does not require linearization operation of tethered satellite system and can guarantee that all the system states converge to zero with arbitrary small errors. To deal with input cons… Show more
“…Furthermore, it concludes that the proposed methods in this paper work more effective than the method in Ma et al. 7 Figure 4.Trajectories of dimensionless tether length.…”
Section: Numerical Simulationsmentioning
confidence: 59%
“…1–5 It is noted that deployment dynamics and control is one of the most key issues in these mentioned tasks, and many advanced control strategies have been proposed to achieve a stable and fast deployment. 6,7…”
Section: Introductionmentioning
confidence: 99%
“…To present the high accurate deployment dynamics, Ma et al. 7 designed a nonlinear sliding surface to generate a rigorous nonlinear reduced-order system, and well analyzed the stability of the motion on the surface. They used an adaptive method to produce the constraint tension control strategy, and solved the underactuated dynamics by reconstructing reduced-order system with virtual disturbance consisting of actuated dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…The results of Ma et al. 7 showed that the adverse effect caused by constrained input may propagate to the reduced-order system and degenerate the steady-state performance.…”
This paper proposes a fractional-order integral sliding mode control with the order 0 < ν < 1 to stabilize the deployment of tethered spacecraft system with only tension regulation. The work in this paper is partially based on integer-order nonlinear sliding mode controller and improves its performance with fractional-order calculus. The proposed scheme makes use of integral sliding surface to obtain smaller convergence regions of state errors, and the fractional derivative is synthesized to enhance the flexibility of controller design by fining parameters for better dynamic and steady-state performance. Fractional-order observers help to eliminate external disturbances while the adaptive law is presented to remove the adverse effect in stability analyses, and fractional-order uniform ultimate boundedness is proved to guarantee the existence of the proposed sliding surface. According to theoretical analyses, the fractional order will indeed affect the dynamic and steady-state performance of control system, and the proposed method will be verified in numerical simulations compared with the nonlinear sliding mode counterpart.
“…Furthermore, it concludes that the proposed methods in this paper work more effective than the method in Ma et al. 7 Figure 4.Trajectories of dimensionless tether length.…”
Section: Numerical Simulationsmentioning
confidence: 59%
“…1–5 It is noted that deployment dynamics and control is one of the most key issues in these mentioned tasks, and many advanced control strategies have been proposed to achieve a stable and fast deployment. 6,7…”
Section: Introductionmentioning
confidence: 99%
“…To present the high accurate deployment dynamics, Ma et al. 7 designed a nonlinear sliding surface to generate a rigorous nonlinear reduced-order system, and well analyzed the stability of the motion on the surface. They used an adaptive method to produce the constraint tension control strategy, and solved the underactuated dynamics by reconstructing reduced-order system with virtual disturbance consisting of actuated dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…The results of Ma et al. 7 showed that the adverse effect caused by constrained input may propagate to the reduced-order system and degenerate the steady-state performance.…”
This paper proposes a fractional-order integral sliding mode control with the order 0 < ν < 1 to stabilize the deployment of tethered spacecraft system with only tension regulation. The work in this paper is partially based on integer-order nonlinear sliding mode controller and improves its performance with fractional-order calculus. The proposed scheme makes use of integral sliding surface to obtain smaller convergence regions of state errors, and the fractional derivative is synthesized to enhance the flexibility of controller design by fining parameters for better dynamic and steady-state performance. Fractional-order observers help to eliminate external disturbances while the adaptive law is presented to remove the adverse effect in stability analyses, and fractional-order uniform ultimate boundedness is proved to guarantee the existence of the proposed sliding surface. According to theoretical analyses, the fractional order will indeed affect the dynamic and steady-state performance of control system, and the proposed method will be verified in numerical simulations compared with the nonlinear sliding mode counterpart.
“…19 An underactuated nonlinear sliding mode controller based on pure-tension control strategy was presented in literature. 20 Also, a fractional sliding mode controller was proposed to get a better anti-interference performance. 21 In order to better meet the needs of engineering implementation, a discrete-time SMC was designed to deploy tether with only the length and angle feedback.…”
The dual-body tethered satellite system, which consists of two spacecraft connected by a single tether, is one of the most promising configurations in numerous space missions. To ensure the stability of deployment, the radial basis function neural network-based adaptive terminal sliding mode controller is proposed for the dual-body tethered satellite system with the model uncertainty and external disturbance. The terminal sliding mode controller serves as the main control framework for its properties of the strong robustness and finite-time convergence. The radial basis function neural network is adopted to approximate the model uncertainty, in which the weight vector of the radial basis function neural networks and the unknown upper bound of the external disturbance are estimated by using two adaptive laws. Finally, the Lyapunov theory and numerical simulations are used to prove the validity of the proposed controller.
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