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Papers by Laurent Burlion

Research paper thumbnail of Suboptimal lunar landing GNC using nongimbaled optic-flow sensors

IEEE Transactions on Aerospace and Electronic Systems, 2015

Research paper thumbnail of Adaptive Observer for a Class of Parabolic PDEs

IEEE Transactions on Automatic Control, 2015

Research paper thumbnail of New pose estimation scheme in perspective vision system during civil aircraft landing

Research paper thumbnail of Robust Output Interval Constraint using O/I Saturation Transformation with Application to Uncertain Linear Launch Vehicle

In this article, the case is considered where a regulated output of an uncertain system with unkn... more In this article, the case is considered where a regulated output of an uncertain system with unknown disturbance input is constrained to lie between two specified timevarying bounds. It is supposed a controller has already been designed using any desired technique. This controller may not satisfy expected output constraints. The objective is to design saturations on the control signal so that the closed-loop is altered only when those specifications are not met. The theory is presented in the linear case with linear dependence on an unknown disturbance. Application to an uncertain launcher linear model with unknown wind disturbance is presented.

Research paper thumbnail of Longitudinal Manoeuvre Load Control of a Flexible Large-Scale Aircraft

International Federation of Automatic Ccontrol Papersonline, 2014

ABSTRACT This paper discusses the design and validation of an integrated long range flexible airc... more ABSTRACT This paper discusses the design and validation of an integrated long range flexible aircraft load controller, at a single flight/mass configuration. The contributions of the paper are in twofold: (i) first, a very recent frequency-limited model approximation technique is used to reduce the large-scale aeroservoelastic aircraft model over a finite frequency support while guaranteeing optimal mismatch error, secondly, (ii) a structured controller is designed using an H1-objective and coupled with an output saturation strategy to achieve flight performance and load clearance, i.e. wing root bending moment saturation. The entire procedure - i.e. approximation and control - is finally assessed on the high fidelity large-scale aircraft model, illustrating the effectiveness of the procedure on a complex model, used in the industrial context in the control laws validation process.

Research paper thumbnail of Adaptive observer for parabolic PDEs with uncertain parameter in the boundary condition

2015 European Control Conference (ECC), 2015

Research paper thumbnail of Adaptive Finite-Time Observer for a Nonlinear and Flexible Space Launch Vehicle

Research paper thumbnail of Robust output interval constraint using O/I saturation transformation with application to uncertain linear launch vehicle

2015 European Control Conference (ECC), 2015

In this article, the case is considered where a regulated output of an uncertain system with unkn... more In this article, the case is considered where a regulated output of an uncertain system with unknown disturbance input is constrained to lie between two specified timevarying bounds. It is supposed a controller has already been designed using any desired technique. This controller may not satisfy expected output constraints. The objective is to design saturations on the control signal so that the closed-loop is altered only when those specifications are not met. The theory is presented in the linear case with linear dependence on an unknown disturbance. Application to an uncertain launcher linear model with unknown wind disturbance is presented.

Research paper thumbnail of Nonlinear observers in vision system: Application to civil aircraft landing

2015 European Control Conference (ECC), 2015

Research paper thumbnail of Metzler Matrix Transform Determination using a Nonsmooth Optimization Technique with an Application to Interval Observers

2015 Proceedings of the Conference on Control and its Applications, 2015

The paper deals with the design of cooperative systems which formulates as computing a state coor... more The paper deals with the design of cooperative systems which formulates as computing a state coordinate transform such that the resulting dynamics are both stable and cooperative. The design of cooperative systems is a key problem to determine interval observers. Solutions are provided in the literature to transform any system into a cooperative system. A novel approach is proposed which reformulates into a stabilization problem. A solution is found using nonsmooth optimization techniques.

Research paper thumbnail of Optic Flow-Based Nonlinear Control and Sub-optimal Guidance for Lunar Landing

A sub-optimal guidance and nonlinear control scheme based on Optic Flow (OF) cues ensuring soft l... more A sub-optimal guidance and nonlinear control scheme based on Optic Flow (OF) cues ensuring soft lunar landing using two minimalistic bio-inspired visual motion sensors is presented here. Unlike most previous approaches, which rely on state estimation techniques and multiple sensor fusion methods, the guidance and control strategy presented here is based on the sole knowledge of a minimum sensor suite (including OF sensors and an IMU). Two different tasks are addressed in this paper: the first one focuses on the computation of an optimal trajectory and the associated control sequences, and the second one focuses on the design and theoretical stability analysis of the closed loop using only OF and IMU measurements as feedback information. Simulations performed on a lunar landing scenario confirm the excellent performances and the robustness to initial uncertainties of the present guidance and control strategy.

Research paper thumbnail of Interactive Session presentation

Backup solution in case of main sensors failure, • Only lightweight, small size and low consumpti... more Backup solution in case of main sensors failure, • Only lightweight, small size and low consumption optic flow sensors required,

Research paper thumbnail of Adaptive Finite-Time Observer for a Nonlinear and Flexible Space Launch Vehicle

Proceedings of the 19th IFAC World Congress, 2014

Research paper thumbnail of Longitudinal Modeling and Preliminary Control of a Non-Linear Flexible Launch Vehicle

11th IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, 2013, 2013

Research paper thumbnail of Détermination de matrice semblable Metzler par optimisation non lisse

La conception d'observateurs par intervalles repose sur la possibilité de rendre un système c... more La conception d'observateurs par intervalles repose sur la possibilité de rendre un système coopératif. Dans le cas linéaire, un système coopératif est un système dont la matrice d'état est à coefficients hors-diagonaux positifs. La littérature propose un certain nombre de méthodes pour concevoir des observateurs par intervalles sur des systèmes non coopératifs. Ces méthodes sont basées sur des changements de variables, le système étudié devenant coopératif dans les nouvelles coordonnées. Dans cet article, une méthode complémentaire au formalisme existant est présentée qui permet la détermination numérique de cette transformation sans hypothèse préalable. Elle repose sur une reformulation en problème de synthèse de loi de commande sur une collection de modèles. Le problème équivalent est alors résolu en faisant appel à une technique d'optimisation non lisse conçue pour ce type de problème de synthèse. L'approche est testée sur deux exemples extraits de la littérature.

Research paper thumbnail of Metzler Matrix Transform Determination using a Nonsmooth Optimization Technique with an Application to Interval Observers

The paper deals with the design of cooperative observers which formulates as computing a state co... more The paper deals with the design of cooperative observers which formulates as computing a state coordinate transform such that the resulting observer dynamics are both stable and cooperative. The design of cooperative observers is a key problem to determine interval observers. Solutions are provided in the literature to transform any system into a cooperative system. A novel approach is proposed which reformulates into a stabilization problem. A solution is found using nonsmooth optimization techniques.

Research paper thumbnail of Flexible Launch Vehicle Control Using Robust Observer-Based Controller Obtained through Structured H ∞ Synthesis

Advances in Aerospace Guidance, Navigation and Control, 2015

Control of a flexible launch vehicle in the atmospheric ascent phase is highly challenging as it ... more Control of a flexible launch vehicle in the atmospheric ascent phase is highly challenging as it involves multiple concurrent design requirements. This ranges from reduction of the angle of attack in face of wind, minimum gain-phase and parametric margins as well as flexible modes attenuation. In this work, we discuss recently available non-smooth optimization techniques as a central tool to solve this problem. We consider designing an observer-based controller based on a Kalman filter suitably augmented with Dryden wind dynamics. We suggest a nonconservative approach to handle model uncertainties based upon multiple models of the launcher. This preliminary work aims at testing the potential of non-smooth controller tuning on a generic launcher model. It will serve as a stepping stone for a more in-depth study of the benchmark developed by M. Ganet at Airbus Defence and Space.

Research paper thumbnail of Updating the gain of global finite-time high gain observers

IEEE Conference on Decision and Control and European Control Conference, 2011

Recently, new results about semi-global and global finite-time observation have been obtained by ... more Recently, new results about semi-global and global finite-time observation have been obtained by the use of continuous high gain observers. In this paper, we propose to extend these results by studying "time-varying high gain" observers and by providing new update laws : first, we adapt the law introduced by L. Praly in the case of asymptotic observation to the finite-time case and we prove that the updated high gain remains bounded. Secondly, we propose a new update law which guarantees the high gain's value tends asymptotically to 1.

Research paper thumbnail of On the stability of a class of nonlinear hybrid systems

Nonlinear Analysis: Theory, Methods & Applications, 2006

In this paper, we propose new conditions for guaranteeing the stability of nonlinear sampled data... more In this paper, we propose new conditions for guaranteeing the stability of nonlinear sampled data systems. In order to do this, we extend Lyapunov theory to this class of systems.

Research paper thumbnail of On the design of Lyapunov functions for state-dependent impulsive dynamical systems

Proceedings of the 16th IFAC World Congress, 2005, 2005

In this paper, we use viability tools to design Lyapunov functions for nonlinear state-dependent ... more In this paper, we use viability tools to design Lyapunov functions for nonlinear state-dependent impulsive dynamical systems : the main idea is to partition the continuous state space . The approach enables to address fundamental issues in Hybrid systems such as accessibility and controllability.

Research paper thumbnail of Suboptimal lunar landing GNC using nongimbaled optic-flow sensors

IEEE Transactions on Aerospace and Electronic Systems, 2015

Research paper thumbnail of Adaptive Observer for a Class of Parabolic PDEs

IEEE Transactions on Automatic Control, 2015

Research paper thumbnail of New pose estimation scheme in perspective vision system during civil aircraft landing

Research paper thumbnail of Robust Output Interval Constraint using O/I Saturation Transformation with Application to Uncertain Linear Launch Vehicle

In this article, the case is considered where a regulated output of an uncertain system with unkn... more In this article, the case is considered where a regulated output of an uncertain system with unknown disturbance input is constrained to lie between two specified timevarying bounds. It is supposed a controller has already been designed using any desired technique. This controller may not satisfy expected output constraints. The objective is to design saturations on the control signal so that the closed-loop is altered only when those specifications are not met. The theory is presented in the linear case with linear dependence on an unknown disturbance. Application to an uncertain launcher linear model with unknown wind disturbance is presented.

Research paper thumbnail of Longitudinal Manoeuvre Load Control of a Flexible Large-Scale Aircraft

International Federation of Automatic Ccontrol Papersonline, 2014

ABSTRACT This paper discusses the design and validation of an integrated long range flexible airc... more ABSTRACT This paper discusses the design and validation of an integrated long range flexible aircraft load controller, at a single flight/mass configuration. The contributions of the paper are in twofold: (i) first, a very recent frequency-limited model approximation technique is used to reduce the large-scale aeroservoelastic aircraft model over a finite frequency support while guaranteeing optimal mismatch error, secondly, (ii) a structured controller is designed using an H1-objective and coupled with an output saturation strategy to achieve flight performance and load clearance, i.e. wing root bending moment saturation. The entire procedure - i.e. approximation and control - is finally assessed on the high fidelity large-scale aircraft model, illustrating the effectiveness of the procedure on a complex model, used in the industrial context in the control laws validation process.

Research paper thumbnail of Adaptive observer for parabolic PDEs with uncertain parameter in the boundary condition

2015 European Control Conference (ECC), 2015

Research paper thumbnail of Adaptive Finite-Time Observer for a Nonlinear and Flexible Space Launch Vehicle

Research paper thumbnail of Robust output interval constraint using O/I saturation transformation with application to uncertain linear launch vehicle

2015 European Control Conference (ECC), 2015

In this article, the case is considered where a regulated output of an uncertain system with unkn... more In this article, the case is considered where a regulated output of an uncertain system with unknown disturbance input is constrained to lie between two specified timevarying bounds. It is supposed a controller has already been designed using any desired technique. This controller may not satisfy expected output constraints. The objective is to design saturations on the control signal so that the closed-loop is altered only when those specifications are not met. The theory is presented in the linear case with linear dependence on an unknown disturbance. Application to an uncertain launcher linear model with unknown wind disturbance is presented.

Research paper thumbnail of Nonlinear observers in vision system: Application to civil aircraft landing

2015 European Control Conference (ECC), 2015

Research paper thumbnail of Metzler Matrix Transform Determination using a Nonsmooth Optimization Technique with an Application to Interval Observers

2015 Proceedings of the Conference on Control and its Applications, 2015

The paper deals with the design of cooperative systems which formulates as computing a state coor... more The paper deals with the design of cooperative systems which formulates as computing a state coordinate transform such that the resulting dynamics are both stable and cooperative. The design of cooperative systems is a key problem to determine interval observers. Solutions are provided in the literature to transform any system into a cooperative system. A novel approach is proposed which reformulates into a stabilization problem. A solution is found using nonsmooth optimization techniques.

Research paper thumbnail of Optic Flow-Based Nonlinear Control and Sub-optimal Guidance for Lunar Landing

A sub-optimal guidance and nonlinear control scheme based on Optic Flow (OF) cues ensuring soft l... more A sub-optimal guidance and nonlinear control scheme based on Optic Flow (OF) cues ensuring soft lunar landing using two minimalistic bio-inspired visual motion sensors is presented here. Unlike most previous approaches, which rely on state estimation techniques and multiple sensor fusion methods, the guidance and control strategy presented here is based on the sole knowledge of a minimum sensor suite (including OF sensors and an IMU). Two different tasks are addressed in this paper: the first one focuses on the computation of an optimal trajectory and the associated control sequences, and the second one focuses on the design and theoretical stability analysis of the closed loop using only OF and IMU measurements as feedback information. Simulations performed on a lunar landing scenario confirm the excellent performances and the robustness to initial uncertainties of the present guidance and control strategy.

Research paper thumbnail of Interactive Session presentation

Backup solution in case of main sensors failure, • Only lightweight, small size and low consumpti... more Backup solution in case of main sensors failure, • Only lightweight, small size and low consumption optic flow sensors required,

Research paper thumbnail of Adaptive Finite-Time Observer for a Nonlinear and Flexible Space Launch Vehicle

Proceedings of the 19th IFAC World Congress, 2014

Research paper thumbnail of Longitudinal Modeling and Preliminary Control of a Non-Linear Flexible Launch Vehicle

11th IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, 2013, 2013

Research paper thumbnail of Détermination de matrice semblable Metzler par optimisation non lisse

La conception d'observateurs par intervalles repose sur la possibilité de rendre un système c... more La conception d'observateurs par intervalles repose sur la possibilité de rendre un système coopératif. Dans le cas linéaire, un système coopératif est un système dont la matrice d'état est à coefficients hors-diagonaux positifs. La littérature propose un certain nombre de méthodes pour concevoir des observateurs par intervalles sur des systèmes non coopératifs. Ces méthodes sont basées sur des changements de variables, le système étudié devenant coopératif dans les nouvelles coordonnées. Dans cet article, une méthode complémentaire au formalisme existant est présentée qui permet la détermination numérique de cette transformation sans hypothèse préalable. Elle repose sur une reformulation en problème de synthèse de loi de commande sur une collection de modèles. Le problème équivalent est alors résolu en faisant appel à une technique d'optimisation non lisse conçue pour ce type de problème de synthèse. L'approche est testée sur deux exemples extraits de la littérature.

Research paper thumbnail of Metzler Matrix Transform Determination using a Nonsmooth Optimization Technique with an Application to Interval Observers

The paper deals with the design of cooperative observers which formulates as computing a state co... more The paper deals with the design of cooperative observers which formulates as computing a state coordinate transform such that the resulting observer dynamics are both stable and cooperative. The design of cooperative observers is a key problem to determine interval observers. Solutions are provided in the literature to transform any system into a cooperative system. A novel approach is proposed which reformulates into a stabilization problem. A solution is found using nonsmooth optimization techniques.

Research paper thumbnail of Flexible Launch Vehicle Control Using Robust Observer-Based Controller Obtained through Structured H ∞ Synthesis

Advances in Aerospace Guidance, Navigation and Control, 2015

Control of a flexible launch vehicle in the atmospheric ascent phase is highly challenging as it ... more Control of a flexible launch vehicle in the atmospheric ascent phase is highly challenging as it involves multiple concurrent design requirements. This ranges from reduction of the angle of attack in face of wind, minimum gain-phase and parametric margins as well as flexible modes attenuation. In this work, we discuss recently available non-smooth optimization techniques as a central tool to solve this problem. We consider designing an observer-based controller based on a Kalman filter suitably augmented with Dryden wind dynamics. We suggest a nonconservative approach to handle model uncertainties based upon multiple models of the launcher. This preliminary work aims at testing the potential of non-smooth controller tuning on a generic launcher model. It will serve as a stepping stone for a more in-depth study of the benchmark developed by M. Ganet at Airbus Defence and Space.

Research paper thumbnail of Updating the gain of global finite-time high gain observers

IEEE Conference on Decision and Control and European Control Conference, 2011

Recently, new results about semi-global and global finite-time observation have been obtained by ... more Recently, new results about semi-global and global finite-time observation have been obtained by the use of continuous high gain observers. In this paper, we propose to extend these results by studying "time-varying high gain" observers and by providing new update laws : first, we adapt the law introduced by L. Praly in the case of asymptotic observation to the finite-time case and we prove that the updated high gain remains bounded. Secondly, we propose a new update law which guarantees the high gain's value tends asymptotically to 1.

Research paper thumbnail of On the stability of a class of nonlinear hybrid systems

Nonlinear Analysis: Theory, Methods & Applications, 2006

In this paper, we propose new conditions for guaranteeing the stability of nonlinear sampled data... more In this paper, we propose new conditions for guaranteeing the stability of nonlinear sampled data systems. In order to do this, we extend Lyapunov theory to this class of systems.

Research paper thumbnail of On the design of Lyapunov functions for state-dependent impulsive dynamical systems

Proceedings of the 16th IFAC World Congress, 2005, 2005

In this paper, we use viability tools to design Lyapunov functions for nonlinear state-dependent ... more In this paper, we use viability tools to design Lyapunov functions for nonlinear state-dependent impulsive dynamical systems : the main idea is to partition the continuous state space . The approach enables to address fundamental issues in Hybrid systems such as accessibility and controllability.