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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 Finite Dimension

Conditions for the existence of a flat input

S. Waldherr Institute for Systems Theory and Automatic Control, Universität Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, GermanyCorrespondence[email protected]
&
M. Zeitz Institute for System Dynamics, Universität Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany
Pages 439-443 | Accepted 09 Jul 2007, Published online: 06 Oct 2010

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Christophe Letellier, Ludovico Minati & Jean-Pierre Barbot. (2023) Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller. Journal of Difference Equations and Applications 29:9-12, pages 1341-1368.
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Alexis Benaitier, Stefan Jakubek, Ferdinand Krainer & Christoph Hametner. (2023) Automated nonlinear feedforward controller identification applied to engine air path output tracking. International Journal of Control 0:0, pages 1-12.
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J. O. A. Limaverde Filho, E. L. F. Fortaleza & M. C. M. M. de Campos. (2022) A derivative-free nonlinear Kalman filtering approach using flat inputs. International Journal of Control 95:11, pages 2900-2910.
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Fatemeh Jahangiri, Heidar Ali Talebi, Mohammad Bagher Menhaj & Christian Ebenbauer. (2017) A new approach for minimum phase output definition. International Journal of Systems Science 48:2, pages 264-271.
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H. Sira-Ramírez, A. Luviano-Juárez & J. Cortés-Romero. (2012) Flatness-based linear output feedback control for disturbance rejection and tracking tasks on a Chua's circuit. International Journal of Control 85:5, pages 594-602.
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Articles from other publishers (24)

Klemens Fritzsche & Klaus Röbenack. (2023) Flat input based canonical form observers for non‐integrable nonlinear discrete‐time systems. PAMM 23:1.
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F. Nicolau & H. Mounier. (2023) Flatness of Networks of Synaptically Coupled Excitatory-Inhibitory Neural Modules. ESAIM: Control, Optimisation and Calculus of Variations 29, pages 89.
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Florentina Nicolau, Witold Respondek & Jean‐Pierre Barbot. (2021) How to minimally modify a dynamical system when constructing flat inputs?. International Journal of Robust and Nonlinear Control 31:18, pages 9538-9561.
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Klemens Fritzsche, Yuhang Guo & Klaus Röbenack. (2021) On the computation of physically realizable generalized flat inputs for nonlinear single‐output systems from a geometric point of view. PAMM 21:1.
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Klemens Fritzsche, Yuhang Guo & Klaus Robenack. (2021) Canonical form observers for non-integrable nonlinear single-output systems using flat inputs and dynamic compensators. Canonical form observers for non-integrable nonlinear single-output systems using flat inputs and dynamic compensators.
Christophe Letellier & Jean-Pierre Barbot. (2021) Optimal flatness placement of sensors and actuators for controlling chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science 31:10, pages 103114.
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F. Nicolau, W. Respondek & J.P. Barbot. (2021) Construction of flat inputs for mechanical systems. IFAC-PapersOnLine 54:19, pages 371-376.
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Tobias Kleinert, Frederik Zahn & Veit Hagenmeyer. (2020) On complexity reduction of the discrete-event subsystem of Flat Hybrid Automata for control design. at - Automatisierungstechnik 68:7, pages 529-540.
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Joachim Rudolph. (2020) Dualität in der regelungstechnischen Methodenentwicklung. at - Automatisierungstechnik 68:7, pages 541-556.
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Moritz Schulze & René Schenkendorf. (2020) Robust Model Selection: Flatness-Based Optimal Experimental Design for a Biocatalytic Reaction. Processes 8:2, pages 190.
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Florentina Nicolau, Witold Respondek & Jean-Pierre Barbot. (2020) Flat Inputs: Theory and Applications. SIAM Journal on Control and Optimization 58:6, pages 3293-3321.
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Klemens Fritzsche & Klaus Röbenack. (2020) On a generalized flat input definition and physical realizability. IFAC-PapersOnLine 53:2, pages 5994-5999.
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Klemens Fritzsche, Yuhang Guo & Klaus Robenack. (2019) Nonlinear Control of Non-Observable Non-Flat MIMO State Space Systems Using Flat Inputs. Nonlinear Control of Non-Observable Non-Flat MIMO State Space Systems Using Flat Inputs.
Fatemeh Jahangiri, Heidar Ali Talebi & Mohammad Bagher Menhaj. (2018) Minimum phase output determination for a desired relative degree: a constructive approach. International Journal of Dynamics and Control 6:4, pages 1592-1598.
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Klemens Fritzsche & Klaus Robenack. (2018) On the Computation of Differentially Flat Inputs. On the Computation of Differentially Flat Inputs.
F. Nicolau, W. Respondek, J.P. Barbot & A. Ouslimani. (2018) Secure communication with the help of flat inputs for chaotic systems. IFAC-PapersOnLine 51:33, pages 109-114.
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Moritz Schulze & René Schenkendorf. (2018) Flatness-Based Design of Experiments for Model Selection. IFAC-PapersOnLine 51:15, pages 233-238.
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Frieder Gottmann, Michael Bohm & Oliver Sawodny. (2017) Integrated trajectory and path tracking of under-actuated and over-actuated cars up to the handling limits. Integrated trajectory and path tracking of under-actuated and over-actuated cars up to the handling limits.
Yu Kawano, Ülle Kotta & Claude H. Moog. (2016) Any dynamical system is fully accessible through one single actuator and related problems. International Journal of Robust and Nonlinear Control 26:8, pages 1748-1754.
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René Schenkendorf & Michael Mangold. (2014) Parameter identification for ordinary and delay differential equations by using flat inputs. Theoretical Foundations of Chemical Engineering 48:5, pages 594-607.
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Silvia Balea, Andrei Halanay & Ioan Ursu. (2013) New results on the problem of the stabilization of equilibria for models of electrohydraulic servoactuators. Discrete and Continuous Dynamical Systems - Series S 6:6, pages 1551-1567.
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René Schenkendorf, Udo Reichl & Michael Mangold. (2012) Parameter Identification Of Time-Delay Systems: A Flatness Based Approach. IFAC Proceedings Volumes 45:2, pages 165-170.
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R.M. Goodall, H. Sira-Ramírez & A. Matamoros-Sánchez. (2011) Flatness Based Control of a Suspension System: A GPI Observer Approach. IFAC Proceedings Volumes 44:1, pages 11103-11108.
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Steffen Waldherr & Michael Zeitz. (2010) Flat inputs in the MIMO case. IFAC Proceedings Volumes 43:14, pages 695-700.
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