Continuous Traditional and High-Order Sliding Modes for Satellite Formation Control

Massey, Timothy; Shtessel, Yuri B.

doi:10.2514/1.14126

Cited by 86 publications

(71 citation statements)

References 3 publications

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“…Only the radial and tangential (x − y) plane dynamics, which are coupled, are addressed in this paper. Following [2,6,7], natural time t can be scaled, and a new time τ := ω n t can be defined. With respect to time τ, the dynamics in the (x − y) plane (normalized Hill equations) can be written as:ẍ…”

Section: System Description and Problem Definitionmentioning

confidence: 99%

“…Continuous sliding mode control schemes driven by a sliding mode disturbance observer and a formation controller using a super twisting second order sliding mode controller are proposed in [7]. In addition, an integral sliding mode controller is proposed in [7]. All the sliding mode control methods are implemented using pulse width modulation techniques for precision robust tracking.…”

Section: Introductionmentioning

confidence: 99%

“…Nonlinear simulations are carried out in the presence of disturbances to validate the efficacy of the proposed scheme. Continuous sliding mode control schemes driven by a sliding mode disturbance observer and a formation controller using a super twisting second order sliding mode controller are proposed in [7]. In addition, an integral sliding mode controller is proposed in [7].…”

Section: Introductionmentioning

confidence: 99%

“…This has been used as the basis of many of the control laws which have been proposed [6,7]. Different leader follower paradigms, and control paradigms have been considered by different researchers.…”

Section: Introductionmentioning

confidence: 99%

“…Asymptotically stabilizing state feedback control laws have been proposed in [14] (also in the presence of saturation, uncertainties and disturbances) for the case, where the states are measured in an inertial and moving reference frame. In [6,7], sliding mode control techniques have been employed to attain formation control of a leader-follower configuration. A behavioural approach is studied in [15] for an identical problem.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Observer‐based controller design with disturbance feedforward framework for formation control of satellites

Menon

Edwards

Paulino

2015

IET Control Theory & Applications

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In this paper, a bespoke sliding mode nonlinear observer and a linear controller framework is proposed for achieving robust formation control of a cluster of satellites in the case of a circular reference orbit. Exploiting the structure of the satellite dynamics, a nonlinear observer is proposed based on super-twist sliding mode ideas. The observer estimates the states and any unknown bounded disturbances in finite time. The stability properties of the observers are demonstrated using Lyapunov techniques. A distributed controller, based on the estimated states and the relative position output information, depending on the underlying communication topology, is proposed. A polytopic representation of the collective dynamics which depends on the eigenvalues of the Laplacian matrix associated with the communication topology is used to synthesize the gains of the proposed control laws. A simulation example is used to demonstrate the efficacy of the proposed approach.

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Section: System Description and Problem Definitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Observer‐based controller design with disturbance feedforward framework for formation control of satellites

Menon

Edwards

Paulino

2015

IET Control Theory & Applications

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On an output‐feedback stabilization problem with uncertainty in the relative degree

Bartolini

Pisano

Usai

2007

Intl J Robust & Nonlinear

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This paper deals with an output-feedback finite-time control problem for a class of nonlinear uncertain systems whose relative degree is affected by an uncertain system parameter and is therefore unknown at the stage of control design. We show that an existing second-order sliding mode control algorithm can address successfully the control task of a finite-time output-feedback stabilization when the uncertain relative degree is equal to 1 or 2. We derive constructive tuning rules for the control parameters and show its effectiveness by using computer simulations

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Distributed attitude synchronization control for multiple flexible spacecraft without modal variable measurement

Wang

Duan

2018

Intl J Robust & Nonlinear

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This paper solves the attitude synchronization and tracking problem for a group of flexible spacecraft without flexible-mode variable measurement. The spacecraft formation is studied in a leader-following synchronization scheme with a dynamic virtual leader. With the application of adaptive sliding-mode control technique, a distributed modified Rodriguez parameters-based dynamic controller is proposed for flexible spacecraft without requiring modal variable measurement. It is proved that the attitude synchronization and tracking can be achieved asymptotically under the control strategy through the Lyapunov's stability analysis. Furthermore, a distributed robust continuous control algorithm is designed to guarantee the ultimate boundedness of both the attitude tracking error and the modal variable observation error when bounded external disturbances exist. Some numerical simulation examples for multiple flexible spacecraft formation are given to demonstrate the effectiveness of the proposed method.

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Continuous Traditional and High-Order Sliding Modes for Satellite Formation Control

Cited by 86 publications

References 3 publications

Observer‐based controller design with disturbance feedforward framework for formation control of satellites

Observer‐based controller design with disturbance feedforward framework for formation control of satellites

On an output‐feedback stabilization problem with uncertainty in the relative degree

Distributed attitude synchronization control for multiple flexible spacecraft without modal variable measurement

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