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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

Flatness-based tracking control of a piezoactuated Euler–Bernoulli beam with non-collocated output feedback: theory and experimentsFootnote†

T. Meurer Automation and Control Institute, Vienna University of Technology, Gusshausstrasse 27-29/E376, 1040 Vienna, AustriaCorrespondence[email protected]
,
D. Thull Automation and Control Institute, Vienna University of Technology, Gusshausstrasse 27-29/E376, 1040 Vienna, Austria
&
A. Kugi Automation and Control Institute, Vienna University of Technology, Gusshausstrasse 27-29/E376, 1040 Vienna, Austria
Pages 475-493 | Accepted 17 Jul 2007, Published online: 06 Oct 2010

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K. D. Do. (2018) Stabilisation of large motions of Euler–Bernoulli beams by boundary controls. International Journal of Systems Science 49:4, pages 736-754.
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Mathias Bachmayer, Heinz Ulbrich & Joachim Rudolph. (2011) Flatness-based control of a horizontally moving erected beam with a point mass. Mathematical and Computer Modelling of Dynamical Systems 17:1, pages 49-69.
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Alessandro Macchelli & Claudio Melchiorri. (2011) A formal method for improving the transient behaviour of a non-linear flexible link. Mathematical and Computer Modelling of Dynamical Systems 17:1, pages 3-18.
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Articles from other publishers (38)

Jiaqi Zhong, Yan Feng, Xiaolei Chen & Cheng Zeng. (2023) Observer-based piecewise control of reaction–diffusion systems with the non-collocated output feedback. Journal of Applied Mathematics and Computing 69:6, pages 4187-4211.
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Shuangxi Huang & Feng-Fei Jin. (2023) Output tracking for a 1-D wave equation with velocity recirculation via boundary control. Computers & Mathematics with Applications 148, pages 228-240.
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Lokesh Kumar, Ashok Kumar Bagha, Kiran Singh, Sanjay Kumar & Sanjeev Kumar. (2023) Sensing and control the static deflection of a cantilever beam by using piezoelectric patches. Physica Scripta 98:9, pages 095244.
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Yu-Long Zhang, Er-Xin Pang & Jun-Min Wang. (2023) Output Tracking of an Anti-Stable Wave Equation Subject to Boundary Disturbance with Non-Collocated Feedback. Output Tracking of an Anti-Stable Wave Equation Subject to Boundary Disturbance with Non-Collocated Feedback.
Xiao-Hui Wu, Jun-Min Wang & Wen Kang. (2023) Non-collocated tracking for an Euler–Bernoulli beam subject to disturbances with unknown frequencies. Systems & Control Letters 175, pages 105504.
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Yu‐Long Zhang & Jun‐Min Wang. (2022) Boundary tracking control of an unstable cascaded heat system with a non‐collocated feedback. IET Control Theory & Applications 16:14, pages 1446-1457.
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Lukas Marko, Martin Saxinger, Andreas Steinboeck & Andreas Kugi. (2022) Cancellation of unknown multi-harmonic disturbances in multivariable flexible mechanical structures. Automatica 137, pages 110123.
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Çağlar Uyulan. (2021) Design and Stability Analysis of a Robust-Adaptive Sliding Mode Control Applied on a Robot Arm with Flexible Links. Vibration 5:1, pages 1-19.
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Yu-Long Zhang & Jun-Min Wang. (2021) Tracking Control of a Wave Equation with Boundary Disturbance: Combining ADRC and Differential Flatness. Tracking Control of a Wave Equation with Boundary Disturbance: Combining ADRC and Differential Flatness.
Xiaoming Wang, Wenya Zhou, Zongyu Zhang, Jianping Jiang & Zhigang Wu. (2021) Theoretical and experimental investigations on modified LQ terminal control scheme of piezo-actuated compliant structures in finite time. Journal of Sound and Vibration 491, pages 115762.
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K. D. Do. (2020) Inverse Optimal Boundary Tracking Control and Observer Design for a One-Link Rotating Flexible Arm. Journal of Dynamic Systems, Measurement, and Control 142:12.
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Feng-Fei Jin & Bao-Zhu Guo. (2019) Boundary output tracking for an Euler–Bernoulli beam equation with unmatched perturbations from a known exosystem. Automatica 109, pages 108507.
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Wenchao Niu & Bin Li. (2019) Adaptive phase compensator for vibration suppression of structures with parameter perturbation. Aerospace Science and Technology 93, pages 105313.
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K.D. Do & A.D. Lucey. (2018) Stochastic stabilization of slender beams in space: Modeling and boundary control. Automatica 91, pages 279-293.
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Philippe Martin, Lionel Rosier & Pierre Rouchon. (2018) Controllability of the 1D Schrödinger equation using flatness. Automatica 91, pages 208-216.
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Xia Li, Yungang Liu, Zaihua Xu & Jian Li. (2017) Flatness approach and its application to distributed parameter systems. Flatness approach and its application to distributed parameter systems.
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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Andreas Kater & Thomas Meurer. (2016) Modelling and flatness-based motion planning for an interconnected flexible beam structure. Modelling and flatness-based motion planning for an interconnected flexible beam structure.
D. Feliu-Talegon, A. San-Millan & V. Feliu-Batlle. (2016) Fractional-order integral resonant control of collocated smart structures. Control Engineering Practice 56, pages 210-223.
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Xiaodong Xu & Stevan Dubljevic. (2016) The state feedback servo-regulator for countercurrent heat-exchanger system modelled by system of hyperbolic PDEs. European Journal of Control 29, pages 51-61.
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Philippe Martin, Lionel Rosier & Pierre Rouchon. (2014) Controllability of the 1D Schrödinger equation by the flatness approach. IFAC Proceedings Volumes 47:3, pages 646-651.
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Kazuhiro Sato. (2013) Flatness-based tracking control of nonlinear differential algebraic systems with geometric index one. Flatness-based tracking control of nonlinear differential algebraic systems with geometric index one.
Birgit Schorkhuber, Thomas Meurer & Ansgar Jungel. (2013) Flatness of Semilinear Parabolic PDEs—A Generalized Cauchy–Kowalevski Approach. IEEE Transactions on Automatic Control 58:9, pages 2277-2291.
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Amir Badkoubeh & Guchuan Zhu. (2013) A Green's function-based design for deformation control of a microbeam with in-domain actuation. A Green's function-based design for deformation control of a microbeam with in-domain actuation.
Johannes Schrock, Thomas Meurer & Andreas Kugi. (2013) Motion Planning for Piezo-Actuated Flexible Structures: Modeling, Design, and Experiment. IEEE Transactions on Control Systems Technology 21:3, pages 807-819.
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Thomas MeurerThomas Meurer. 2013. Control of Higher–Dimensional PDEs. Control of Higher–Dimensional PDEs 51 75 .
Amir Badkoubeh & Guchuan Zhu. (2012) Deformation control of a 1-dimensional microbeam with in-domain actuation. Deformation control of a 1-dimensional microbeam with in-domain actuation.
Amir Badkoubeh & Guchuan Zhu. (2012) Flatness-based deformation control of a 1-dimensional microbeam with in-domain actuation. Flatness-based deformation control of a 1-dimensional microbeam with in-domain actuation.
J. Schrock, T. Meurer & A. Kugi. (2012) Motion planning for an elastic Kirchhoff plate. Motion planning for an elastic Kirchhoff plate.
Johannes Henikl, Johannes Schröck, Thomas Meurer & Andreas Kugi. (2012) Infinit-dimensionaler Reglerentwurf für Euler-Bernoulli Balken mit Macro-Fibre Composite Aktoren. auto 60:1, pages 10-19.
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T. Meurer, J. Schröck & A. Kugi. (2012) Trajektorienplanung für eine piezo-aktuierte elastische Kirchhoff-PlatteMotion planning for a piezo-actuated elastic Kirchhoff plate. e & i Elektrotechnik und Informationstechnik 129:1, pages 11-17.
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J. Schrock, T. Meurer & A. Kugi. (2011) Non-collocated feedback stabilization of a non-uniform Euler-Bernoulli beam with in-domain actuation. Non-collocated feedback stabilization of a non-uniform Euler-Bernoulli beam with in-domain actuation.
Thomas Meurer. (2011) Flatness-based trajectory planning for diffusion–reaction systems in a parallelepipedon—A spectral approach. Automatica 47:5, pages 935-949.
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T. Meurer & A. Kugi. (2011) Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator. International Journal of Robust and Nonlinear Control 21:5, pages 542-562.
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Johannes Schröck, Thomas Meurer & Andreas Kugi. (2011) Control of a flexible beam actuated by macro-fiber composite patches: II. Hysteresis and creep compensation, experimental results. Smart Materials and Structures 20:1, pages 015016.
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Johannes Schröck, Thomas Meurer & Andreas Kugi. (2011) Control of a flexible beam actuated by macro-fiber composite patches: I. Modeling and feedforward trajectory control. Smart Materials and Structures 20:1, pages 015015.
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Hans Irschik, Michael Krommer & Yury Vetyukov. (2010) On the Use of Piezoelectric Sensors in Structural Mechanics: Some Novel Strategies. Sensors 10:6, pages 5626-5641.
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Thomas Meurer & Andreas Kugi. (2009) Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness. Automatica 45:5, pages 1182-1194.
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