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International Journal of Control Volume 81, 2008 - Issue 3: Special Issue Dedicated to Professor Michel Fliess

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Flat Systems of Infinite Dimension

Motion planning and open loop control design for linear distributed parameter systems with lumped controls

J. Rudolph Technische Universität Dresden, Institut für Regelungs- und Steuerungstheorie, 01062 Dresden, GermanyCorrespondence[email protected]

F. Woittennek École polytechnique, Laboratoire d’informatique (LIX), 91128 Palaiseau Cedex, France

Pages 457-474 | Received 07 Jul 2006, Accepted 09 Mar 2007, Published online: 06 Oct 2010

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https://doi.org/10.1080/00207170701561435

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Abdelhadi Elharfi, Mustapha El Hassani & Samir El Mourchid. (2023) Motion planning problem for a class of hyperbolic PDEs. Evolution Equations and Control Theory 0:0, pages 0-0.
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Ferdinand Fischer & Joachim Deutscher. (2022) Trade-off design for fault detection of DPSs using integral transformations. IFAC-PapersOnLine 55:26, pages 33-38.
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Ferdinand Fischer & Joachim Deutscher. (2022) Fault diagnosis for linear heterodirectional hyperbolic ODE–PDE systems using backstepping-based trajectory planning. Automatica 135, pages 109952.
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Joachim Deutscher. (2021) Cooperative output regulation for a network of parabolic systems with varying parameters. Automatica 125, pages 109446.
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Thomas Meurer. 2021. Encyclopedia of Systems and Control. Encyclopedia of Systems and Control 1338 1346 .

Justus Kopp & Frank Woittennek. (2020) Flatness based trajectory planning and open-loop control of shallow-water waves in a tube. Automatica 122, pages 109251.
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Ferdinand Fischer & Joachim Deutscher. (2020) Flatness-based algebraic fault diagnosis for distributed-parameter systems. Automatica 117, pages 108987.
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Bastian Biedermann & Thomas Meurer. (2020) Motion planning for a class of boundary controlled 1D port-Hamiltonian systems. IFAC-PapersOnLine 53:2, pages 7710-7715.
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F. Fischer & J. Deutscher. (2020) Flatness-based algebraic fault identification for a wave equation with dynamic boundary conditions. IFAC-PapersOnLine 53:2, pages 7647-7652.
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Thomas Meurer. 2019. Encyclopedia of Systems and Control. Encyclopedia of Systems and Control 1 9 .

Justus Kopp & Frank Woittennek. (2019) Flatness-based control design for the Saint-Venant equations with experimental results. IFAC-PapersOnLine 52:16, pages 60-65.
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Hugues Mounier & Luca Greco. 2019. Delays and Interconnections: Methodology, Algorithms and Applications. Delays and Interconnections: Methodology, Algorithms and Applications 199 214 .

F. Fischer & J. Deutscher. (2018) Modulating Function Based Fault Detection for Parabolic Systems with Polynomial Faults. IFAC-PapersOnLine 51:24, pages 359-366.
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F. Fischer & J. Deutscher. (2017) Fault detection for parabolic systems with distributed inputs and outputs using the modulation function approach. IFAC-PapersOnLine 50:1, pages 6774-6779.
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Timo Böhm & Thomas Meurer. (2017) Trajectory planning and tracking control for the temperature distribution in a deep drawing tool. Control Engineering Practice 64, pages 127-139.
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Joachim Deutscher. (2017) Finite-time output regulation for linear 2×2 hyperbolic systems using backstepping. Automatica 75, pages 54-62.
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F. Fischer & J. Deutscher. (2016) Algebraic fault detection and isolation for parabolic distributed–parameter systems using modulation functions. IFAC-PapersOnLine 49:8, pages 162-167.
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T. Meurer. (2016) Flatness of a class of linear Volterra partial integro–differential equations. IFAC-PapersOnLine 49:8, pages 174-179.
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Joachim Deutscher. (2015) Backstepping design of robust flatness-based tracking controllers for boundary-controlled parabolic PDEs. Backstepping design of robust flatness-based tracking controllers for boundary-controlled parabolic PDEs.

Torsten Knuppel & Frank Woittennek. (2015) Control Design for Quasi-Linear Hyperbolic Systems With an Application to the Heavy Rope. IEEE Transactions on Automatic Control 60:1, pages 5-18.
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Christian Schmuck, Frank Woittennek, Albrecht Gensior & Joachim Rudolph. (2014) Feed-Forward Control of an HVDC Power Transmission Network. IEEE Transactions on Control Systems Technology 22:2, pages 597-606.
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J. Schmidt & T. Meurer. (2013) Semi-numerical trajectory planning for coupled systems of linear diffusion-convection-reaction equations. IFAC Proceedings Volumes 46:26, pages 31-36.
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Siqian Wang & Frank Woittennek. (2013) Backstepping-method for parabolic systems with in-domain actuation. IFAC Proceedings Volumes 46:26, pages 43-48.
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Thomas Meurer. 2013. Encyclopedia of Systems and Control. Encyclopedia of Systems and Control 1 10 .

Frank Woittennek. (2012) Beobachterbasierte Zustandsrückführungen für hyperbolische verteiltparametrische Systeme. auto 60:8, pages 462-475.
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F. Malchow & O. Sawodny. (2012) Model based feedforward control of an industrial glass feeder. Control Engineering Practice 20:1, pages 62-68.
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C. Schmuck, F. Woittennek, A. Gensior & J. Rudolph. (2011) Flatness-based feed-forward control of an HVDC power transmission network. Flatness-based feed-forward control of an HVDC power transmission network.

Christian Harkort & Joachim Deutscher. (2011) Discrete-Time Modal State Reconstruction for Infinite-Dimensional Systems Using Generalized Sampling. IFAC Proceedings Volumes 44:1, pages 13311-13316.
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Frank Woittennek & Hugues Mounier. (2010) Flachheit und Steuerbarkeit einer Klasse von Netzwerken örtlich verteilter SystemeFlatness and Controllability of a Class of Networks of Distributed Parameter Systems. at - Automatisierungstechnik 58:3, pages 139-150.
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Torsten Knüppel, Joachim Rudolph & Frank Woittennek. (2010) Flachheitsbasierte Trajektorienplanung für semilineare hyperbolische Systeme mit RandeingriffFlatness based Trajectory Planning for Boundary Controlled Semi-linear Hyperbolic Systems. at - Automatisierungstechnik 58:3, pages 117-127.
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Frank Woittennek & Hugues Mounier. (2010) Controllability of Networks of Spatially One-Dimensional Second Order PDEs—An Algebraic Approach. SIAM Journal on Control and Optimization 48:6, pages 3882-3902.
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Hugues Mounier, Joachim Rudolph & Frank Woittennek. 2011. Advances in the Theory of Control, Signals and Systems with Physical Modeling. Advances in the Theory of Control, Signals and Systems with Physical Modeling 179 188 .

Frank Woittennek, Joachim Rudolph & Torsten Knüppel. (2009) Flatness based trajectory planning for a semi-linear hyperbolic system of first order p.d.e. modeling a tubular reactor. PAMM 9:1, pages 3-6.
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Motion planning and open loop control design for linear distributed parameter systems with lumped controls

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Motion planning and open loop control design for linear distributed parameter systems with lumped controls

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