Mixture steering law design for control moment gyroscopes

Zhang, Jingrui; Luo, Yang; Liu, Wei; Zhang, Yao

doi:10.1007/s11433-012-4967-3

Cited by 5 publications

(2 citation statements)

References 10 publications

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“…Optimization-based, the hybrid GA takes SQP behind the GA to improve the poor local search ability. 19 The SQP algorithm is based on local search, with the performance of the search depending on neighborhood function and initial solutions. If the neighborhood function is unsuitably designed or the initial solutions chosen are unfit, the algorithm will be trapped into the local minimum.…”

Section: Hybrid Gamentioning

confidence: 99%

Optimal planning approaches with multiple impulses for rendezvous based on hybrid genetic algorithm and control method

Zhang

Zhao

Zhang

et al. 2015

Advances in Mechanical Engineering

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In this article, we focus on safe and effective completion of a rendezvous and docking task by looking at planning approaches and control with fuel-optimal rendezvous for a target spacecraft running on a near-circular reference orbit. A variety of existent practical path constraints are considered, including the constraints of field of view, impulses, and passive safety. A rendezvous approach is calculated by using a hybrid genetic algorithm with those constraints. Furthermore, a control method of trajectory tracking is adopted to overcome the external disturbances. Based on Clohessy-Wiltshire equations, we first construct the mathematical model of optimal planning approaches of multiple impulses with path constraints. Second, we introduce the principle of hybrid genetic algorithm with both stronger global searching ability and local searching ability. We additionally explain the application of this algorithm in the problem of trajectory planning. Then, we give three-impulse simulation examples to acquire an optimal rendezvous trajectory with the path constraints presented in this article. The effectiveness and applicability of the tracking control method are verified with the optimal trajectory above as control objective through the numerical simulation. KeywordsOptimization rendezvous, path constraints, hybrid genetic algorithm, trajectory planning, trajectory tracking On-orbit service, autonomous rendezvous, and docking play the part of key technology in future space activities such as orbital life extension of geosynchronous earth orbit (GEO) satellites, capture of passive satellites, and the space debris removal.1 These technologies require close-proximity operation including the inspection phase and the final approach phase.2 Regarding these space missions, the difficulty of research is compounded by problems related to planning approaches and control with fuel-optimal rendezvous in the closeproximity operation phases.Facing the trajectory design of close-range rendezvous, scholars have made fruitful achievements using primer vector theory proposed by Lawden 3 with the first-order necessary conditions for propellant-optimal trajectories. Prussing and Chiu 4 obtained the optimal, time-fixed, multiple-impulse solutions for both coplanar and a restricted class of noncoplanar circle-to-circle rendezvous. For the fixed-time problem, Carter and colleagues 5,6 present new necessary and sufficiency conditions that do not require global calculation of the

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Section: Hybrid Gamentioning

confidence: 99%

Optimal planning approaches with multiple impulses for rendezvous based on hybrid genetic algorithm and control method

Zhang

Zhao

Zhang

et al. 2015

Advances in Mechanical Engineering

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“…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

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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.

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Optimization design of launch locking protective device (LLPD) based on carbon fiber bracket for magnetically suspended flywheel (MSFW)

et al. 2019

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Mixture steering law design for control moment gyroscopes

Cited by 5 publications

References 10 publications

Optimal planning approaches with multiple impulses for rendezvous based on hybrid genetic algorithm and control method

Optimal planning approaches with multiple impulses for rendezvous based on hybrid genetic algorithm and control method

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

Optimization design of launch locking protective device (LLPD) based on carbon fiber bracket for magnetically suspended flywheel (MSFW)

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