LPV Modeling, Analysis and Design in Space Systems: Rationale, Objectives and Limitations

Marcos, Andrés; Space, Deimos; Bennani, Samir; Estec, Esa

doi:10.2514/6.2009-5633

Cited by 22 publications

(18 citation statements)

References 18 publications

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“…Use the choices for (Q, S, R) in (16) to rewrite the second term as e T e − γ 2 d T d. Integrate over [0, T ] to obtain:…”

Section: Robust Induced L 2 Gainmentioning

confidence: 99%

“…This paper develops theoretical and computational methods to analyze the robustness of linear time-varying (LTV) systems over finite time horizons. Motivating applications for this work include robotic systems [19,28] and space launch / re-entry vehicles [16,32] both of which undergo finite-time trajectories. Typical notions of robustness, e.g.…”

Section: Introductionmentioning

confidence: 99%

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Finite horizon robustness analysis of LTV systems using integral quadratic constraints

et al. 2019

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“…Use the choices for (Q, S, R) in (16) to rewrite the second term as e T e − γ 2 d T d. Integrate over [0, T ] to obtain:…”

Section: Robust Induced L 2 Gainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite horizon robustness analysis of LTV systems using integral quadratic constraints

et al. 2019

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“…In the first phase, these techniques where tested on simpler simulation models, see [169], [171]- [174], which are therefore not included in our categorization. A more detailed overview about the project and the challenges of LPV tools in space applications can be found in [175].…”

Section: Lpv Control Applications Validated By Experiments or Himentioning

confidence: 99%

A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations

Hoffmann

Werner

2015

IEEE Trans. Contr. Syst. Technol.

326

190

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This paper provides a survey of results in linear parameter-varying (LPV) control that have been validated by experiments and/or high-fidelity simulations. The LPV controller synthesis techniques employed in the references of this survey are briefly reviewed and compared. The methods are classified into polytopic, linear fractional transformation, and griddingbased techniques and it is reviewed how in each of these approaches, synthesis can be carried out as a convex optimization problem via a finite number of linear matrix inequalities (LMIs) for both parameter-independent and parameter-dependent Lyapunov functions. The literature is categorized with regard to the application, the complexity induced by the controlled system's dynamic and scheduling orders, as well as the synthesis method. Exemplary cases dealing with specific control design problems are presented in more detail to point control engineers to possible approaches that have been successfully applied. Furthermore, key publications in LPV control are related to application achievements on a timeline. Index Terms-Controller synthesis, experiments, high-fidelity (hifi)-simulation, linear parameter-varying (LPV).

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“…As a potential axis for improvement, and as briefly mentioned before, the robust control community has particularly well suited methods and tools to systematically address the aforementioned type of trade-offs, explicitly considering the effect of uncertainties and disturbances. As previously shown, these uncertainties can be modelled as time-invariant LFTs, but this formalism also allows to indirectly capture time-varying effects via linear parameter-varying (LPV) models (details on LPV modelling can be found in (Marcos & Bennani, 2009) and references therein). Furthermore, and also favoured by the use of the robust control framework, recent automated tuning tools (Apkarian & Noll, 2006;Gahinet & Apkarian, 2011) have appeared that will be able to exploit the parameterisation of the guidance laws proposed in (58) and (59) -or facilitate the synthesis of control compensators that minimise orbital perturbations with respect to a reference trajectory (Simplício et al, 2018a).…”

Section: Robustnessmentioning

confidence: 99%

Review of guidance techniques for landing on small bodies

Simplicio

Marcos

Joffre

et al. 2018

Progress in Aerospace Sciences

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A renewed scientific interest has been growing in the exploration of small asteroids in addition to larger planetary bodies such as Mars, since their weaker gravitational field makes them more easily accessible. However, such exploratory missions are very challenging from an engineering perspective, particularly when striving for optimal propellant consumption. This is mostly due to the perturbed $ This work is funded by the UK Space Agency through a 2016 NSTP-2 Space Technology Fast Track grant entitled "Robust and Nonlinear Guidance and Control for Landing on Small Bodies". Mr. Simplício is also the recipient of a Doctoral Training Partnership award by the Engineering and Physical Sciences Research Council.

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LPV Modeling, Analysis and Design in Space Systems: Rationale, Objectives and Limitations

Cited by 22 publications

References 18 publications

Finite horizon robustness analysis of LTV systems using integral quadratic constraints

Finite horizon robustness analysis of LTV systems using integral quadratic constraints

A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations

Review of guidance techniques for landing on small bodies

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