Biography
Philippe Martin is a researcher whose work focuses on automation, the control of dynamic systems, and real-time state estimation. His research covers, in particular, the estimation and control of electric machines (induction motors, PMSMs, SynRMs), with significant expertise in signal injection methods, the demodulation of multiplexed signals, and the analysis of multi-time-scale systems. His contributions include the development of nonlinear observers for estimating rotor speed, torque, or position, often under degraded conditions (low speed, absence of mechanical sensors). He also explores theoretical approaches such as high-order averaging analysis, singular perturbations, and Lyapunov methods to ensure the stability and robustness of the proposed solutions. His recent work addresses issues related to power converters, vibrating gyroscopes, and sensorless control, combining physical modeling and advanced mathematical tools for industrial and experimental applications.
Publication(s)
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2025
Producing virtual outputs by nonperiodic signal injection DOI : 10.23919/ECC65951.2025.11187131
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2024
Can a Perfect Vibratory Gyroscope Provide a Drift-Free Angle Estimation? DOI : 10.1109/ISA62769.2024.10786089
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2022
KKL observer design for sensorless induction motors DOI : 10.1109/CDC51059.2022.9992800
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2022
Control of an Air-Cored Resonant Induction Motor DOI : 10.1109/ICEM51905.2022.9910803
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2022
A Novel Observer for Induction Motors, with an Application to Soft Starters DOI : 10.1109/ICEM51905.2022.9910680
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2021
Towards an industrially implementable PWM-injection scheme DOI : 10.1109/IEMDC47953.2021.9449593
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2021
Error analysis of a demodulation procedure for multicarrier signals with slowly-varying carriers DOI : 10.23919/EUSIPCO54536.2021.9616246
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2021
Error estimates in second-order continuous-time sigma-delta modulators DOI : 10.1109/ICASSP39728.2021.9413672
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2020
Adding virtual measurements by PWM-induced signal injection DOI : 10.23919/ACC45564.2020.9147700
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2020
Avoiding DC link oscillations in drives DOI : 10.1109/IECON43393.2020.9255094
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2020
Sensorless rotor position estimation by PWM-induced signal injection DOI : 10.1109/IECON43393.2020.9254909
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2020
Higher-order singular perturbations for control design with application to the control of induction motors DOI : 10.1109/CDC42340.2020.9304011
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2019
A new demodulation procedure for a class of multiplexed signals DOI : 10.1109/IECON.2019.8927835
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2019
Higher-order averaging for DC-DC converters DOI : 10.1109/IECON.2019.8927089
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2019
Third-order virtual measurements with signal injection DOI : 10.1109/CDC40024.2019.9029751
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2019
Exact controllability of a linear Korteweg–de Vries equation by the flatness approach DOI : 10.1137/18M1181390
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2018
Delay-Robust Control Design for Two Heterodirectional Linear Coupled Hyperbolic PDEs DOI : 10.1109/TAC.2018.2798818
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2018
Partial Attitude Estimation from a Single Measurement Vector DOI : 10.1109/CCTA.2018.8511394
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2018
Controllability of the 1D Schrödinger equation using flatness DOI : 10.1016/j.automatica.2018.01.005
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2018
Nonlinear attitude estimation from biased vector and gyro measurements DOI : 10.1109/CDC.2018.8619339
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2017
Obtaining the current-flux relations of the saturated PMSM by signal injection DOI : 10.1109/IECON.2017.8216352
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2017
A global observer for attitude and gyro biases from vector measurements DOI : 10.1016/j.ifacol.2017.08.1868
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2017
Global exponential attitude and gyro bias estimation from vector measurements DOI : 10.1007/978-3-319-68445-1_40
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2017
Modeling and identification of synchronous reluctance motors DOI : 10.1109/IEMDC.2017.8002195
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2016
A semi-global model-based state observer for the quadrotor using only inertial measurements DOI : 10.1109/CDC.2016.7799367
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2016
Adding virtual measurements by signal injection DOI : 10.1109/ACC.2016.7525045
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2016
Sensorless position estimation and control of permanent-magnet synchronous motors using a saturation model DOI : 10.1080/00207179.2015.1084049
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2016
Null controllability of one-dimensional parabolic equations by the flatness approach DOI : 10.1137/14099245X
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2016
An analysis of the benefits of signal injection for low-speed sensorless control of induction motors DOI : 10.1109/SPEEDAM.2016.7525835
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2016
An online compensation algorithm for improving the performance of gas Ring Laser Gyroscopes DOI : 10.1109/CCA.2016.7587906
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2016
On the Reachable States for the Boundary Control of the Heat Equation DOI : 10.1093/amrx/abv013
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2016
Stability analysis of velocity-aided attitude observers for accelerated vehicles DOI : 10.1016/j.automatica.2015.10.014
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2015
Homogeneity applied to the controllability of a system of parabolic equations DOI : 10.1109/ECC.2015.7330909
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2015
Null controllability using flatness: A case study of a 1-D heat equation with discontinuous coefficients DOI : 10.1109/ECC.2015.7330525
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2014
Velocity-aided attitude estimation for accelerated rigid bodies DOI : 10.1109/CDC.2014.7039402
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2014
Null controllability of the heat equation using flatness DOI : 10.1016/j.automatica.2014.10.049
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2014
Towards a solid-state ring laser gyroscope; [Vers un gyrolaser à état solide] DOI : 10.1016/j.crhy.2014.10.008
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2014
Energy-based modeling of electric motors DOI : 10.1109/CDC.2014.7040330
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2014
Controllability of the 1D Schrödinger equation by the flatness approach DOI : 10.3182/20140824-6-za-1003.00442
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2013
Symmetry-preserving data fusion for optical-inertial tracking; [Symmetrieerhaltende Datenfusion für optisch-inertiales Tracking] DOI : 10.1524/auto.2013.1006
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2013
Null controllability of the 1D heat equation using flatness DOI : 10.3182/20130925-3-FR-4043.00074
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2013
Null controllability of the 2D heat equation using flatness DOI : 10.1109/CDC.2013.6760459
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2013
Optical-inertial tracking system with high bandwidth and low latency DOI : 10.1007/978-3-642-37387-9_13
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2013
Null controllability of the structurally damped wave equation with moving control DOI : 10.1137/110856150
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2013
Error growth due to noise during occlusions in inertially-aided tracking systems DOI : 10.1109/ICRA.2013.6631408
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2012
Signal injection and averaging for position estimation of Permanent-Magnet Synchronous Motors DOI : 10.1109/CDC.2012.6426887
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2012
Sensorless position estimation of Permanent-Magnet Synchronous Motors using a nonlinear magnetic saturation model DOI : 10.1109/ICElMach.2012.6350194
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2011
Estimation of saturation of Permanent-Magnet Synchronous Motors through an energy-based model DOI : 10.1109/IEMDC.2011.5994795
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2011
Tracking and control for handheld surgery tools DOI : 10.1109/BioCAS.2011.6107819
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2011
A separation principle on Lie groups DOI : 10.3182/20110828-6-IT-1002.03353
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2011
High-bandwidth low-latency tracking using optical and inertial sensors DOI : 10.1109/ICARA.2011.6144911
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2010
Using Hamiltonians to model saturation in space vector representations of AC electrical machines DOI : 10.1007/978-3-642-16135-3_4
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2010
Generalized Multiplicative Extended Kalman Filter for aided attitude and heading reference system DOI : 10.2514/6.2010-8300
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2010
The true role of accelerometer feedback in quadrotor control DOI : 10.1109/ROBOT.2010.5509980
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2010
Design and implementation of a low-cost observer-based attitude and heading reference system DOI : 10.1016/j.conengprac.2010.01.012
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2009
An embedded attitude and heading reference system based on a nonlinear filter DOI : 10.1007/978-3-642-00271-7_20
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2009
Invariant extended Kalman filter: Theory and application to a velocity-aided attitude estimation problem DOI : 10.1109/CDC.2009.5400372
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2009
Non-linear symmetry-preserving observers on lie groups DOI : 10.1109/TAC.2009.2020646
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2008
Non-linear observer on lie groups for left-invariant dynamics with right-left equivariant output DOI : 10.3182/20080706-5-KR-1001.2525
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2008
An invariant observer for earth-velocity-aided attitude heading reference systems DOI : 10.3182/20080706-5-KR-1001.3577
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2008
Symmetry-preserving observers DOI : 10.1109/TAC.2008.2006929
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2008
A general symmetry-preserving observer for aided attitude heading reference systems DOI : 10.1109/CDC.2008.4739372
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2008
Design and implementation of a low-cost aided attitude and heading reference system DOI : 10.2514/6.2008-7169
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2008
Design and implementation of a low-cost attitude and heading nonlinear estimator
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2007
Invariant observers for attitude and heading estimation from low-cost inertial and magnetic sensors DOI : 10.1109/CDC.2007.4435006
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2007
A Cadaveric Study to Assess the Accuracy of Computer-Assisted Surgery in Locating the Hip Center During Total Knee Arthroplasty DOI : 10.1016/j.arth.2006.04.027
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2006
A non-linear symmetry-preserving observer for velocity-aided inertial navigation DOI : 10.1109/acc.2006.1657161
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2004
Invariant tracking DOI : 10.1051/cocv:2003037
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2003
Motion planning for a nonlinear Stefan problem DOI : 10.1051/cocv:2003013
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2003
Boundary control of a nonlinear Stefan Problem
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2002
Journal Europeen des Systemes Automatises: Editorial; [Journal Europeen des Systemes Automatises: Editorial]
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2002
Motion planning for a linearized korteweg-de vries equation with boundary control DOI : 10.3182/20020721-6-es-1901.00199
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2000
Observability conditions of induction motors at low frequencies DOI : 10.1109/CDC.2000.914093
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2000
Two simple flux observers for induction motors DOI : 10.1002/(SICI)1099-1115(200003/05)14:2/3171::AID-ACS5833.0.CO;2-0
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2000
Motion planning for the heat equation DOI : 10.1002/1099-1239(20000715)10:8629::AID-RNC5023.0.CO;2-N
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1999
A lie-bäcklund approach to equivalence and flatness of nonlinear systems DOI : 10.1109/9.763209
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1999
Active signal restoration for the telegraph equation
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1998
2kπ, the juggling robot
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1998
Motion planning for a class of partial differential equations with boundary control
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1997
A remark on nonlinear accessibility conditions and infinite prolongations DOI : 10.1016/S0167-6911(97)00028-5
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1997
On nonlinear controllability, infinite jets and prolongations DOI : 10.23919/ecc.1997.7082519
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1997
On a new differential geometric setting in nonlinear control DOI : 10.1007/BF02434981
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1996
A different look at output tracking: Control of a VTOL aircraft DOI : 10.1016/0005-1098(95)00099-2
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1995
Implicit differential equations and Lie-Backlund mappings
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1995
Flatness and defect of non-linear systems: Introductory theory and examples DOI : 10.1080/00207179508921959
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1995
Any (controllable) driftless system with m inputs and m + 2 states is flat
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1995
Any (controllable) driftless system with 3 inputs and 5 states is flat DOI : 10.1016/0167-6911(94)00060-9
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1994
Nonlinear control and Lie-Backlund transformations: towards a new differential geometric standpoint
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1994
On a new differential geometric setting in nonlinear control DOI : 10.1007/BF02589765
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1994
Feedback linearization and driftless systems DOI : 10.1007/BF01212271
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1994
Any (controllable) driftless system with 3 inputs and 5 states is flat
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1994
Different look at output tracking: control of a VTOL aircraft
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1993
On differentially flat nonlinear systems DOI : 10.1016/b978-0-08-041901-5.50031-2
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1993
Geometric sufficient condition for flatness of systems with m inputs and m + 1 states
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1993
An intrinsic sufficient condition for regular decoupling DOI : 10.1016/0167-6911(93)90017-Z
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1993
Flatness, motion planning and trailer systems
Teaching
Signal Processing
The Signal Processing course covers all aspects of harmonic analysis, including discrete- and continuous-time signals, convolution, operational calculus, and the Fourier transform. This content is presented in a way that makes it applicable in various contexts such as mathematics, engineering, and physics. The course establishes a fundamental link between the mathematical foundations of signal processing (Fourier analysis, wavelets, etc.) and the practical tools derived from them, such as filtering and compression. These concepts are illustrated by modern technologies that incorporate these principles, thereby providing a concrete and applied perspective on the theories covered. Furthermore, the course highlights the strong interconnections between signal processing and other fields covered by the Applied Mathematics course unit, naturally guiding instruction toward the fundamental mathematical concepts of the field. Practical exercises, designed to simply illustrate the theorems studied in class, reinforce this theoretical learning. Finally, the exploration of recent technological applications provides a current and dynamic perspective on the theoretical results presented. Independent study hours are devoted to projects on topics that go beyond the scope of the course. Recent projects have included the implementation of a music recognition algorithm based on the windowed Fourier transform, the study of signal processing tools used in tomography, and the application of signal processing tools to a geophysical problem.
Course I - Automation (PI MECATRO)
PhD supervision
- 2024 Anti-windup management for electric motor under electrical limitations WEHBE Ali
- 2022 Algorithmic implementation of resonant gyroscopes MAROLLEAU Emilien
- 2019 Sensorless electric motor drive by signal injection SURROOP Dilshad
