Model predictive control for rendezvous hovering phases based on a novel description of constrained trajectories

Gilz, Paulo Ricardo Arantes; Joldeş, Mioara; Louembet, Christophe; Camps, Frédéric

doi:10.1016/j.ifacol.2017.08.1367

Cited by 8 publications

(16 citation statements)

References 14 publications

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“…The idea is to account for path constraints continuously in time, contrary to most techniques in literature, see [15,16,18,23] and references therein. On the same lines, a preliminary result of the current work was presented in [36].…”

Section: Introductionmentioning

confidence: 67%

“…In [36] a redefinition of the set of states corresponding to periodic space-constrained trajectories is provided. This consists in finding the envelope of the curves which define the boundary of the admissible set, which boils down to the evaluation of several convex semi-algebraic functions.…”

Section: Envelope Description Of Periodic Space-constrained Relative mentioning

confidence: 99%

“…This problem is characterized by convex but non-differentiable functions in its criterion and in the description of its feasible set. It can be converted into an unconstrained optimization problem via penalty methods and the resulting problem can be solved by sub-gradient methods (see [36] for details).…”

Section: Envelope Description Of Periodic Space-constrained Relative mentioning

confidence: 99%

See 2 more Smart Citations

Stable Model Predictive Strategy for Rendezvous Hovering Phases Allowing for Control Saturation

Gilz

Joldeş

Louembet

et al. 2019

Journal of Guidance, Control, and Dynamics

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This paper presents a model predictive control strategy for the spacecraft rendezvous hovering phases. Using a sequence of impulsive velocity changes, the spacecraft is controlled to reach and remain on a periodic trajectory inside a given box-type hover zone, while minimizing the fuel consumption. The path constraints (box-type and periodicity) are satisfied continuously in time, based on a particular parametrization of the linearized relative spacecraft trajectories. The control saturation constraint is enforced by re-planning. First, a sequence of saturated impulsive controls is selected such that the spacecraft gets on a periodic trajectory. Second, a fixed-length sequence of saturated impulses brings the spacecraft closer to the hover zone. The convergence of this approach is proved. Numerical methods are proposed to solve the required constrained optimization problems. Finally, hardware-in-the-loop simulations, using a synthesized LEON3 microprocessor, are performed to assess the efficiency and robustness of the proposed approach.

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Section: Introductionmentioning

confidence: 67%

Section: Envelope Description Of Periodic Space-constrained Relative mentioning

confidence: 99%

Section: Envelope Description Of Periodic Space-constrained Relative mentioning

confidence: 99%

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Stable Model Predictive Strategy for Rendezvous Hovering Phases Allowing for Control Saturation

Gilz

Joldeş

Louembet

et al. 2019

Journal of Guidance, Control, and Dynamics

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“…An alternative description of S D can be found in [18] where it is described in terms semi-algebraic set:…”

Section: Hovering Constraintsmentioning

confidence: 99%

“…In this work, the basic ideas underlying the so-called impulsive zone MPC (IzMPC) of [15] are used to propose a new controller, specifically formulated for the guidance of a rendezvous to a given hovering zone. To this ends, some interesting periodicity properties -coming from the formal description of the periodic relative orbits included in a given polytope (developed in several recent works, [17], [18], [19]) -are exploited. The benefits of these properties in the context of IzMPC can be described three fold: it ensures recursive feasibility and closed-loop stability, it has an enlarged domain of attraction (in a rather natural form, without using additional optimization variables) and it shows a good performance (in terms of the objective function, convergence rate and fuel consumption) in comparison with other recent strategies [20], [19].…”

Section: Introductionmentioning

confidence: 99%

Impulsive zone model predictive control for rendezvous hovering phases

Louembet

González

Gilz

2019

2019 IEEE 58th Conference on Decision and Control (CDC)

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In this manuscript, an impulsive zone MPC formulation is proposed to tackle the problem of the spacecraft rendezvous control. The control objective is to maintain the follower spacecraft in a given subspace with respect to a leader vehicle by stabilizing the set of periodic relative orbits included in a given hovering zone. The idea is to incorporate this hovering zone as a target set into the MPC cost function, in order to permit a single MPC formulation and a receding horizon implementation. The control algorithm takes advantages of a relative motion parametrization for which the set of the equilibrium states represent the set of periodic orbits to prove the stability of the hovering zone and to enlarge significantly the domain of attraction. Several simulation results show that, in addition, performances in terms of convergence and fuel consumption are improved in comparison with previous works.

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An Event-Triggered Predictive Controller for Spacecraft Rendezvous Hovering Phases

et al. 2019

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Model predictive control for rendezvous hovering phases based on a novel description of constrained trajectories

Cited by 8 publications

References 14 publications

Stable Model Predictive Strategy for Rendezvous Hovering Phases Allowing for Control Saturation

Stable Model Predictive Strategy for Rendezvous Hovering Phases Allowing for Control Saturation

Impulsive zone model predictive control for rendezvous hovering phases

An Event-Triggered Predictive Controller for Spacecraft Rendezvous Hovering Phases

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