Multi-Objective Robust $H_{\infty}$ Control of Spacecraft Rendezvous

Gao, Huijun; Yang, Xuebo; Shi, Peng

doi:10.1109/tcst.2008.2012166

Cited by 201 publications

(13 citation statements)

References 31 publications

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“…This paper applies an augmented genetic algorithm to solve the FGP model given by Eq. (10). In order to enhance the searching ability of the GA, a gradient-based local search strategy is proposed and embedded in the algorithm framework, hence the name Gradient-based Hybrid Genetic Algorithm (GHGA).…”

Section: B Gradient-based Hybrid Genetic Algorithmmentioning

confidence: 99%

“…Although the objective could be optimized based on the definition of pareto-optimal, the computational burden caused by the optimization process was high. Gao et al [10] calculated the optimal control for a multi-objective spacecraft rendezvous problem. In their work, the multiobjective optimal control problem was transcribed into a convex optimization problem subject to linear matrix inequality constraints.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Unified Multiobjective Optimization Scheme for Aeroassisted Vehicle Trajectory Planning

Chai¹,

Tsourdos²,

Chai³

et al. 2018

Journal of Guidance, Control, and Dynamics

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In this work, a multi-objective aeroassisted trajectory optimization problem with mission priority constraints is constructed and studied. To effectively embed the priority requirements into the optimization model, a specific transformation technique is applied and the original problem is then transcribed to a single-objective formulation. The resulting single objective programming model is solved via an evolutionary optimization algorithm. Such a design is unlike most traditional approaches, where the nondominated sorting procedure is required to be performed to rank all the objectives. Moreover, in order to enhance the local search ability of the optimization process, a hybrid gradient-based operator is introduced. Simulation results indicate that the proposed design can produce feasible and high-quality flight trajectories. Comparative simulations with other typical methods were also performed and the results show that the proposed approach can achieve a better performance in terms of satisfying the pre-specified priority requirements.

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Section: B Gradient-based Hybrid Genetic Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unified Multiobjective Optimization Scheme for Aeroassisted Vehicle Trajectory Planning

Chai¹,

Tsourdos²,

Chai³

et al. 2018

Journal of Guidance, Control, and Dynamics

View full text Add to dashboard Cite

show abstract

“…A comprehensive overview of the motivation for the use of trajectory optimization in different space missions, together with various related trajectory optimization approaches, was made by Conway in 2011 [2]. In this review article and the references therein, several important practical examples were highlighted such as the orbital transfer problems [9,10], the spacecraft rendezvous and docking [11,12], and the planetary entry [13][14][15][16][17]. These problems were summarised in a general form and treated as optimal control problems [18].…”

Section: Introductionmentioning

confidence: 99%

A review of optimization techniques in spacecraft flight trajectory design

Chai

Tsourdos

Chai

et al. 2019

Progress in Aerospace Sciences

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For most atmospheric or exo-atmospheric spacecraft flight scenarios, a welldesigned trajectory is usually a key for stable flight and for improved guidance and control of the vehicle. Although extensive research work has been carried out on the design of spacecraft trajectories for different mission profiles and many effective tools were successfully developed for optimizing the flight path, it is only in the recent five years that there has been a growing interest in planning the flight trajectories with the consideration of multiple mission objectives and various model errors/uncertainties. It is worth noting that in many practical spacecraft guidance, navigation and control systems, multiple performance indices and different types of uncertainties must frequently be considered during the path planning phase. As a result, these requirements bring the development of multi-objective spacecraft trajectory optimization methods as well as stochastic spacecraft trajectory optimization algorithms. This paper aims to broadly review the state-of-the-art development in numerical multi-objective trajectory optimization algorithms and stochastic trajectory planning techniques for spacecraft flight operations. A brief description of the mathematical formulation of the problem is firstly introduced. Following that, various optimization methods that can be effective for solving spacecraft trajectory planning problems are reviewed, including the gradient-based methods, the convexification-based methods, and the evolutionary/metaheuristic methods. The multi-objective

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“…Optimal impulsive approaches based on the primer vector solutions are investigated in [6]- [8]. Gao et al discussed the robust H ∞ control of relative motion [9], while solutions to the matrix inequalities are proposed by Tian and Jia [10]. Mesbahi and Hadaegh studied the formation flying control via graphs, matrix inequalities, and switching [11].…”

Section: Introductionmentioning

confidence: 99%

On the Impulsive Formation Control of Spacecraft Under Path Constraints

Shakouri

2019

IEEE Trans. Aerosp. Electron. Syst.

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This paper deals with the impulsive formation control of spacecraft in the presence of constraints on the position vector and time. Determining a set of path constraints can increase the safety and reliability in an impulsive relative motion of spacecraft. Specially, the feasibility problem of the position norm constraints is considered in this paper. Under assumptions, it is proved that if a position vector be reachable, then the reach time and the corresponding time of impulses are unique. The trajectory boundedness of the spacecraft between adjacent impulses are analyzed using the Gerschgorin and the Rayleigh-Ritz theorems as well as a finite form of the Jensen's inequality. Some boundaries are introduced regarding the Jordan-Brouwer separation theorem which are useful in checking the satisfaction of a constraint. Two numerical examples (approximate circular formation keeping and collision-free maneuver) are solved in order to show the applications and visualize the results.

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Multi-Objective Robust $H_{\infty}$ Control of Spacecraft Rendezvous

Cited by 201 publications

References 31 publications

Unified Multiobjective Optimization Scheme for Aeroassisted Vehicle Trajectory Planning

Unified Multiobjective Optimization Scheme for Aeroassisted Vehicle Trajectory Planning

A review of optimization techniques in spacecraft flight trajectory design

On the Impulsive Formation Control of Spacecraft Under Path Constraints

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