Publications
Books
[B1] P. Bernard, Observer design for nonlinear systems, Lecture Notes on Control and Information Sciences, Vol 479, Springer, 2019 Erratum
Journal Papers
[J21] P. Bernard, M. Maghenem, Reconstructing indistinguishable solutions via a set-valued KKL observer, Automatica, Vol 166, 2024
[J20] P. Bernard, R. Sanfelice, Semiglobal High-Gain Hybrid Observer for a Class of Hybrid Dynamical Systems with Unknown Jump Times, IEEE Transactions on Automatic Control, 2024 [Hal]
[J19] G. Q. B. Tran, P. Bernard, Arbitrarily Fast Robust KKL Observer for Nonlinear Time-Varying Discrete Systems, IEEE Transactions on Automatic Control, 2023 [Hal]
[J18] L. Brivadis, V. Andrieu, P. Bernard, U. Serres, Further remarks on KKL observers, Systems and Control Letters, Vol 172, 2023, [Hal]
[J17] P. Bernard, R. G. Sanfelice, Observer design for hybrid dynamical systems with approximately known jump times, Vol 141, Automatica, 2022 [Hal]
[J16] P. Bernard, V. Andrieu, D. Astolfi, Observer design for continuous-time systems, Annual Reviews in Control, 2022 [Hal]
[J15] D. Astolfi, P. Bernard, R. Postoyan, L. Marconi, Constrained state estimation for nonlinear systems: a redesign approach based on convexity, IEEE Transactions on Automatic Control, Vol 67, No 2, pp 824 - 839, 2022 [Hal]
[J14] P. Bernard, N. Mimmo, L. Marconi, On the Semi-Global Stability of an EK-Like Filter, IEEE Control Systems Letters, Vol. 5, No. 5, pp. 1771-1776, 2021
[J13] V. Andrieu, D. Astolfi, P. Bernard, Observer design via interconnections of second-order mixed sliding-mode/linear differentiators, International Journal of Robust and Nonlinear Control, Vol 31, No 9, pp 3631-3657, 2021 [Hal]
[J12] N. Mimmo, P. Bernard, L. Marconi, Avalanche victim search via robust observers, IEEE Transactions on Control Systems Technology, Vol 27, No 4, pp 1450-1461, 2021
[J11] M. Bin, P. Bernard, L. Marconi, Approximate nonlinear regulation via identification-based adaptive internal models, IEEE Transactions on Automatic Control, Vol 66, No 8, pp 3534 - 3549, 2021
[J10] P. Bernard, L. Praly, Estimation of position and resistance of a sensorless PMSM : a nonlinear Luenberger approach for a non-observable system, IEEE Transactions on Automatic Control, Vol 66, pp 481-496, 2021 ( Long version : Hal )
[J9] P. Bernard, M. Bin, L. Marconi, Adaptive Output Regulation via Nonlinear Luenberger Observer-based Internal Models and Continuous-Time Identifiers, Automatica, Vol 122, 2020
[J8] P. Bernard, L. Marconi, Hybrid implementation of observers in plant’s coordinates with a finite number of approximate inversions and global convergence, Automatica, Vol 111, 2020
[J7] P. Bernard, R. G. Sanfelice, Hybrid dynamical systems with hybrid inputs: definition of solutions and applications to series interconnections, International Journal of Robust and Nonlinear Control, pp. 1-25, 2019
[J6] P. Bernard, V. Andrieu, Luenberger observers for non autonomous nonlinear systems, IEEE Transactions on Automatic Control, Vol 64, No 1, pp. 270-281, 2019
[J5] P. Bernard, L. Praly, Convergence of gradient observer for rotor position and magnet flux estimation of permanent magnet synchronous, Automatica, Vol 94, pp.88-93. 2018
[J4] P. Bernard, L. Praly, V. Andrieu, Expressing an observer in preferred coordinates by transforming an injective immersion into a surjective diffeomorphism, SIAM Journal of Control and Optimization, Vol 56, No. 3, pp. 2327–2352, 2018 (Long Version : Hal)
[J3] P. Bernard, L. Praly, V. Andrieu, Observers for a non-Lipschitz triangular form, Automatica, Vol 82, pp. 301-313. 2017
[J2] P. Bernard, L. Praly, V. Andrieu, H. Hammouri, On the triangular canonical form for uniformly observable controlled systems, Automatica, Vol 85, pp. 293-300. 2017
[J1] P.Bernard, M. Krstic, Adaptive output-feedback control for non-local hyperbolic PDEs, Automatica, Vol 50, No. 10, pp. 2692-2699. 2014
Conference Papers
[C29] G. Q. B. Tran, P. Bernard, Kalman-like Observer for Hybrid Systems with Linear Maps and Known Jump Times, IEEE Conference on Decision and Control, 2023 [Full version Hal]
[C28] R. Orsolle-Tyberg, P. Bernard, P. Combes, Robust sensorless flux and position estimation for SynRMs, IECON, 2023
[C27] G. Q. B. Tran, P. Bernard, R. Sanfelice, Coupling Flow and Jump Observers for Hybrid Systems with Known Jump Times, IFAC World Congress, 2023 [Full version Hal]
[C26] V. Alleaume, P. Bernard, KKL observer design for non observable systems, IFAC Symposium on Nonlinear Control Systems, 2023
[C25] P. Bernard, T. Devos, A.K. Jebai, P. Martin, L. Praly, KKL Observer Design for Sensorless Induction Motors, IEEE Conference on Decision and Control, 2022
[C24] G. Q. B. Tran, P. Bernard, F. Di Meglio, L. Marconi, Observer Design Based on Observability Decomposition for Hybrid Systems with Linear Maps and Known Jump Times, IEEE Conference on Decision and Control, 2022
[C23] P. Bernard, T. Devos, A.K. Jebai, P. Martin, L. Praly, A Novel Observer for Induction Motors, with an Application to Soft Starters, International Conference on Electrical Machines, 2022
[C22] M. Spirito, P. Bernard, L. Marconi, On the existence of robust functional KKL observers, American Control Conference, 2022
[C21] W.P.M.H. Heemels, P. Bernard, K.J.A. Scheres, R. Postoyan, R. G. Sanfelice, Hybrid Systems with Continuous-time Inputs: Subtleties in Solution Concepts and Existence Properties, IEEE Conference on Decision and Control, 2021
[C20] V. Andrieu, P. Bernard, Remarks about the numerical inversion of injective nonlinear maps, IEEE Conference on Decision and Control, 2021
[C19] P. Bernard, R. G. Sanfelice, A Local Hybrid Observer for a Class of Hybrid Dynamical Systems with Linear Maps and Unknown Jump Times, IEEE Conference on Decision and Control, 2021
[C18] I. A. Azzollini, M. Bin, P. Bernard, L. Marconi, Robust Frequency Estimation of Multi-Harmonic Signals, European Control Conference, 2021
[C17] P. Bernard, N. Mimmo, L. Marconi, On the Semi-Global Stability of an EK-Like Filter, American Control Conference, 2021
[C16] L. Da Costa Ramos, F. Di Meglio, L. F. Figueira Da Silva, V. Morgenthalter, P. Bernard, Numerical design of Luenberger observers for nonlinear systems, IEEE Conference on Decision and Control, 2020
[C15] P. Bernard, A-K Jebai, P. Martin, Higher-order singular perturbations for control design with application to the control of induction motors, IEEE Conference on Decision and Control, 2020
[C14] P. Bernard, R. Sanfelice, On the notions of detectability and observers for hybrid systems, IEEE Conference on Decision and Control, 2020 [Long version : Hal]
[C13] P. Bernard, A-K Jebai, Robust sensorless estimation of the position and magnet flux of PMSMs, IECON, 2020
[C12] V. Vincent, D. Daniele, P. Bernard, Mixing sliding mode and linear observers for second and third order systems, IFAC World Congress, 2020
[C11] N. Mimmo, P. Bernard, L. Marconi, Avalanche victim search via robust observers, ICRA, 2020
[C10] M. Bin, P. Bernard, L. Marconi, Adaptive output regulation using Luenberger observers, IFAC Symposium on Nonlinear Control Systems, 2019
[C9] D. Astolfi, P. Bernard, R. Postoyan, L. Marconi, Redesign of discrete-time nonlinear observers with state estimate constrained in prescribed convex set, IFAC Symposium on Nonlinear Control Systems, 2019
[C8] P. Bernard, R. Sanfelice, An algorithm to generate solutions to hybrid dynamical systems with inputs, 2019 American Control Conference
[C7] P. Bernard, L. Marconi, Hybrid implementation of observers in initial coordinates with a finite number of approximate inversions and global convergence, 2019 American Control Conference
[C6] P. Bernard, R. Sanfelice, Observers for hybrid dynamical systems with linear maps and known jump times, IEEE Conference on Decision and Control, 2018
[C5] P. Bernard, Luenberger observers for nonlinear controlled systems, IEEE Conference on Decision and Control, 2017
[C4] P. Bernard, L. Praly, Robustness of rotor position observer for permanent magnet synchronous motors with unknown magnet flux, IFAC World Congress, 2017
[C3] P. Bernard, L. Praly, V. Andrieu, Non Lipschitz triangular canonical form for uniformly observable controlled systems, IFAC Symposium on Nonlinear Control Systems, 2016
[C2] P. Bernard, L. Praly, V. Andrieu, Tools for observers based on coordinate augmentation, IEEE Conference on Decision and Control, 2015
[C1] P.Bernard, M. Krstic, Adaptive output-feedback control for non-local hyperbolic PDEs, IFAC World Congress, 2014
Patents
[P1] Anti-glare control mecanism for motor vehicles, FR3105458A1, Valeo Vision, 2022