194 citations · 314 across the 15 of their papers we have counts for
25 papers
Error estimates in Second-order Continuous-Time Sigma-Delta modulators
Dilshad Surroop, Pascal Combes, Philippe Martin
Continuous-time Sigma-Delta (CT-) modulators are oversampling Analog-to-Digital converters that may provide higher sampling rates and lower power consumption than their discret…
Sensorless rotor position estimation by PWM-induced signal injection
Dilshad Surroop, Pascal Combes, Philippe Martin +1
We demonstrate how the rotor position of a PWM-controlled PMSM can be recovered from the measured currents, by suitably using the excitation provided by the PWM itself. This provid…
Adding virtual measurements by PWM-induced signal injection
Dilshad Surroop, Pascal Combes, Philippe Martin +1
We show that for PWM-operated devices, it is possible to benefit from signal injection \emph{without an external probing signal}, by suitably using the excitation provided by the P…
Exact controllability of a linear Korteweg-de Vries equation by the flatness approach
Ivonne Rivas, Philippe Martin, Lionel Rosier +1
We consider a linear Korteweg-de Vries equation on a bounded domain with a left Dirichlet boundary control.The controllability to the trajectories of such a system was proved in th…
Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs
Jean Auriol, Jakob Ulf, Philippe Martin +1
We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to…
Obtaining the Current-Flux Relations of the Saturated PMSM by Signal Injection
Pascal Combes, François Malrait, Philippe Martin +1
This paper proposes a method based on signal injection to obtain the saturated current-flux relations of a PMSM from locked-rotor experiments. With respect to the classical method…
Controllability of the 1D Schrödinger equation using flatness
Philippe Martin, Lionel Rosier, Pierre Rouchon
We derive in a direct way the exact controllability of the 1D free Schrödinger equation with Dirichlet boundary control. We use the so-called flatness approach, which consists in p…
Energy-based Modeling of AC Motors
Pascal Combes, Al Kassem Jebai, François Malrait +2
We propose an approach to modeling of AC motors entirely based on analytical mechanics. Symmetry and connection constraints are moreover incorporated in the energy function from wh…
A global exponential observer for velocity-aided attitude estimation
Philippe Martin, Ioannis Sarras, Minh-Duc Hua +1
We propose a simple nonlinear observer for estimating the attitude and velocity of a rigid body from the measurements of specific acceleration, angular velocity, magnetic field (in…
A global observer for attitude and gyro biases from vector measurements
Philippe Martin, Ioannis Sarras
We consider the classical problem of estimating the attitude and gyro biases of a rigid body from vector measurements and a triaxial rate gyro. We propose a simple "geometry-free"…
An analysis of the benefits of signal injection for low-speed sensorless control of induction motors
Pascal Combes, François Malrait, Philippe Martin +1
We analyze why low-speed sensorless control of the IM is intrinsically difficult, and what is gained by signal injection. The explanation relies on the control-theoretic concept of…
A semi-global model-based state estimator for the quadrotor using only inertial measurements
Philippe Martin, Ioannis Sarras
We propose a nonlinear observer to estimate the state (orientation and in-plane velocity vector) of the quadrotor, based on a drag-force-enhanced model. It is an alternative to rec…
Adding virtual measurements by signal injection
Pascal Combes, Al Kassem Jebai, François Malrait +2
We propose a method to "create" a new measurement output by exciting the system with a high-frequency oscillation. This new "virtual" measurement may be useful to facilitate the de…
On the reachable states for the boundary control of the heat equation
Philippe Martin, Lionel Rosier, Pierre Rouchon
We are interested in the determination of the reachable states for the boundary control of the one-dimensional heat equation. We consider either one or two boundary controls. We sh…
Velocity-aided Attitude Estimation for Accelerated Rigid Bodies
Minh-Duc Hua, Philippe Martin, Tarek Hamel
Two nonlinear observers for velocity-aided attitude estimation, relying on gyrometers, accelerometers, magnetometers, and velocity measured in the body-fixed frame, are proposed. A…
Null controllability of one-dimensional parabolic equations by the flatness approach
Philippe Martin, Lionel Rosier, Pierre Rouchon
We consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular.Considering generalized Rob…
Controllability of the 1D Schrodinger equation by the flatness approach
Philippe Martin, Lionel Rosier, Pierre Rouchon
We derive in a straightforward way the exact controllability of the 1-D Schrodinger equation with a Dirichlet boundary control. We use the so-called flatness approach, which consis…
Energy-based modeling of electric motors
Al Kassem Jebai, Pascal Combes, François Malrait +2
We propose a new approach to model electrical machines based on energy considerations and construction symmetries of the motor. We detail the approach on the Permanent-Magnet Synch…
Null Controllability of the 2D Heat Equation Using Flatness
Philippe Martin, Lionel Rosier, Pierre Rouchon
We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists i…
Sensorless position estimation of Permanent-Magnet Synchronous Motors using a saturation model
Al Kassem Jebai, Francois Malrait, Philippe Martin +1
Sensorless control of Permanent-Magnet Synchronous Motors (PMSM) at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency si…
Signal injection and averaging for position estimation of Permanent-Magnet Synchronous Motors
Al Kassem Jebai, François Malrait, Philippe Martin +1
Sensorless control of Permanent-Magnet Synchronous Motors at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal an…
Null controllability of the structurally damped wave equation with moving point control
Philippe Martin, Lionel Rosier, Pierre Rouchon
We investigate the internal controllability of the wave equation with structural damping on the one dimensional torus. We assume that the control is acting on a moving point or on…
Estimation of Saturation of Permanent-Magnet Synchronous Motors Through an Energy-Based Model
AlKassem Jebai, Francois Malrait, Philippe Martin +1
We propose a parametric model of the saturated Permanent-Magnet Synchronous Motor (PMSM) together with an estimation method of the magnetic parameters. The model is based on an ene…
A Separation Principle on Lie Groups
Silvere Bonnabel, Philippe Martin, Pierre Rouchon +1
For linear time-invariant systems, a separation principle holds: stable observer and stable state feedback can be designed for the time-invariant system, and the combined observer…