Steering laws analysis of SGCMGs based on singular value decomposition theory

Zhang, Jingrui

doi:10.1007/s10483-008-0805-2

Cited by 11 publications

(5 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From equations (19), (27) to (29), we can conclude that the controller parameters K i have an effect on the accuracy of the sliding mode surface s as well as the attitude errorq , and a bigger K i means a smaller surface s andq .…”

Section: Remarkmentioning

confidence: 99%

Fault-tolerant control for multiple networked spacecraft under actuator saturation

Dong

Yuan

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

In this paper, fault-tolerant attitude tracking control problem is investigated for multiple spacecraft formation flying system with external disturbance, actuator saturation, and faults. A quaternion-based adaptive fault-tolerant control law is proposed based on input normalized neural network. The desired nonlinear smooth function is approximated by using input normalized neural network with an adaptive learning algorithm, and no prior knowledge about spacecraft dynamics is required. Meanwhile, in order to guarantee that the output of input normalized neural network used in the controller is bounded by the corresponding bound of the approximated unknown function, a modified adaptive law is designed to revise the sliding mode manifold. Moreover, the stability of system can be guaranteed by Lyapunov theory. Finally, the validity of the proposed control algorithm is verified through numerical simulations.

show abstract

Section: Remarkmentioning

confidence: 99%

Fault-tolerant control for multiple networked spacecraft under actuator saturation

Dong

Yuan

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

show abstract

“…Therefore, scholars have performed much research on how to escape the CMG singularity and design the control law of the CMG group system. The control law of the CMG group system is to calculate the required frame angular velocity based on the current frame angle and command torque [3]. In 2008, the CMG control law based on singular value decomposition was investigated by Zhang et al [4].…”

Section: Introductionmentioning

confidence: 99%

Cooperative game theory-based steering law design of a CMG system

Hua

Zheng

et al. 2023

J. of Syst. Eng. Electron.

View full text Add to dashboard Cite

Spacecraft require a large-angle manoeuvre when performing agile manoeuvring tasks, therefore a control moment gyroscope (CMG) is employed to provide a strong moment. However, the control of the CMG system easily falls into singularity, which renders the actuator unable to output the required moment. To solve the singularity problem of CMGs, the control law design of a CMG system based on a cooperative game is proposed. First, the cooperative game model is constructed according to the quadratic programming problem, and the cooperative strategy is constructed. When the strategy falls into singularity, the weighting coefficient is introduced to carry out the strategy game to achieve the optimal strategy. In theory, it is proven that the cooperative game manipulation law of the CMG system converges, the sum of the CMG frame angular velocities is minimized, the energy consumption is small, and there is no output torque error. Then, the CMG group system is simulated. When the CMG system is near the singular point, it can quickly escape the singularity. When the CMG system falls into the singularity, it can also escape the singularity. Considering the optimization of angular momentum and energy consumption, the feasibility of the CMG system steering law based on a cooperative game is proven.

show abstract

“…Wie et al [11,12] presented a generalized singularity robust steering law and a nondiagonal singularity robust steering law escaping the singular surface, but a remarkable torque error was produced. In [13][14][15], the SGCMGs steering laws were analyzed and compared for a spacecraft attitude control system based on the singular value decomposition (SVD) theory. The author also developed a new mixture steering law and an error control steering law to avoid the singularity problem.…”

Section: Introductionmentioning

confidence: 99%

Path Planning for Rapid Large-Angle Maneuver of Satellites Based on the Gauss Pseudospectral Method

Zhang

Li³

et al. 2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

A Gauss pseudospectral method is proposed in this study to solve the optimal trajectory-planning problem for satellite rapid large-angle maneuvers. In order to meet the requirement of rapid maneuver capability of agile small satellites, Single Gimbal Control Moment Gyros (SGCMGs) are adopted as the actuators for the attitude control systems (ACS). Because the singularity problem always exists for SGCMGs during the large-angle maneuvering of the satellites, a trajectory optimization method for the gimbal rates is developed based on the Gauss pseudospectral method. This method satisfies the control requirement of satellite rapid maneuvers and evades the singularity problem of SGCMGs. The method treats the large-angle maneuver problem as an optimization problem, which meets the boundary condition and a series of the physical constraints including the gimbal angle constraint, the gimbal rates constraint, the singularity index constraint, and some other performance criteria. This optimization problem is discretized as a nonlinear programming problem by the Gauss pseudospectral method. The optimal nonsingularity gimbal angle trajectory is obtained by the sequence of quadratic programming (SQP). This approach avoids the difficulties in solving the boundary value problem. The simulations reveal that the Gauss pseudospectral method effectively plans an optimal trajectory and satisfies all the constraints within a short time.

show abstract

Steering laws analysis of SGCMGs based on singular value decomposition theory

Cited by 11 publications

References 10 publications

Fault-tolerant control for multiple networked spacecraft under actuator saturation

Fault-tolerant control for multiple networked spacecraft under actuator saturation

Cooperative game theory-based steering law design of a CMG system

Path Planning for Rapid Large-Angle Maneuver of Satellites Based on the Gauss Pseudospectral Method

Contact Info

Product

Resources

About