Forschungsschwerpunkte
A. Funnel-Regelung
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T. Berger, C. M. Hackl and S. Trenn
Asymptotic tracking by funnel control with internal models
to appear in: Proceedings of the European Control Conference 2024 [preprint] -
T. Berger und L. Lanza
Funnel control of linear systems with arbitrary relative degree under output measurement losses
IMA Journal of Mathematical Control and Information 40 (4), 691-713, 2023 [preprint]
doi: 10.1093/imamci/dnad029 -
T. Berger
Fault tolerant funnel control for uncertain linear systems
IEEE Transactions on Automatic Control 66 (9), 4349-4356, 2021 [preprint]
doi: 10.1109/TAC.2020.3030759 -
T. Berger
Tracking with prescribed performance for linear non-minimum phase systems
Automatica 115, Article 108909, 2020 [preprint]
doi: 10.1016/j.automatica.2020.108909 -
T. Berger und T. Reis
Funnel control via funnel pre-compensator for minimum phase systems with relative degree two
IEEE Transactions on Automatic Control 63 (7), 2264-2271, 2018 [preprint]
doi: 10.1109/TAC.2017.2761020
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T. Berger, A. Ilchmann, E. P. Ryan
Funnel control - a survey
eingereicht bei: Annual Reviews in Control [pdf] -
T. Berger
Input-constrained funnel control of nonlinear systems
IEEE Transactions on Automatic Control 69 (8), 5368-5382, 2024 [preprint]
doi: 10.1109/TAC.2024.3352362 -
T. Berger, A. Ilchmann, E. P. Ryan
Funnel control of nonlinear systems
Mathematics of Control, Signals, and Systems 33, 151-194, 2021 [preprint]
doi: 10.1007/s00498-021-00277-z -
T. Berger, T. Reis
The Funnel Pre-Compensator
International Journal of Robust and Nonlinear Control 28 (16), 4747-4771, 2018 [preprint]
doi: 10.1002/rnc.4281 -
T. Berger, Le Huy Hoang, T. Reis
Funnel control for nonlinear systems with known strict relative degree
Automatica 87, 345-357, 2018 [preprint]
doi: 10.1016/j.automatica.2017.10.017
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T. Berger, M. Puche, F. L. Schwenninger
Funnel control for a moving water tank
Automatica 135, Article 109999, 2022 [preprint]
doi: 10.1016/j.automatica.2021.109999 -
T. Berger
Funnel control of the Fokker-Planck equation for a multi-dimensional Ornstein-Uhlenbeck process
SIAM Journal on Control and Optimization 59 (5), 3203-3230, 2021 [preprint]
doi: 10.1137/20M1382155 -
T. Berger, T. Breiten, M. Puche, T. Reis
Funnel control for the monodomain equations with the FitzHugh-Nagumo model
Journal of Differential Equations 286, 164-214, 2021 [preprint]
doi: 10.1016/j.jde.2021.03.012 -
T. Berger, M. Puche, F. L. Schwenninger
Funnel control in the presence of infinite-dimensional internal dynamics
Systems & Control Letters 139, Article 104678, 2020 [preprint]
doi: 10.1016/j.sysconle.2020.104678
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T. Berger, B. Besselink
String stability and guaranteed safety via funnel cruise control for vehicle platoons
eingereicht bei: IEEE Transactions on Automatic Control [pdf] -
T. Berger, F. Nüske
Funnel control for Langevin dynamics
eingereicht bei: Automatica [pdf] -
S. Drücker, L. Lanza, T. Berger, T. Reis, R. Seifried
Experimental validation for the combination of funnel control with a feedforward control strategy
Multibody System Dynamics 2024 [pdf]
doi: 10.1007/s11044-024-09976-2 (open access) -
Z. Guo, X. Gu, Y. Han, J. Guo, T. Berger
Maneuvering tracking algorithm for reentry vehicles with guaranteed prescribed performance
IEEE Transactions on Aerospace and Electronic Systems 60 (3), 3012-3020, 2024 [preprint]
doi: 10.1109/TAES.2024.3357649 -
J. G. Lee, T. Berger, S. Trenn, H. Shim
Edge-wise funnel output synchronization of heterogeneous agents with relative degree one
Automatica 156, Article 111204, 2023 [preprint]
doi: 10.1016/j.automatica.2023.111204 (open access) -
T. Berger
Feedback control of the COVID-19 pandemic with guaranteed non-exceeding ICU capacity
Systems & Control Letters 160, Article 105111, 2022 [preprint]
doi: 10.1016/j.sysconle.2021.105111 -
T. Berger, L. Lanza
Output tracking for a non-minimum phase robotic manipulator
IFAC-PapersOnLine 54 (9), 178-185, 2021 [preprint]
doi: 10.1016/j.ifacol.2021.06.074 -
T. Berger, S. Drücker, L. Lanza, T. Reis, R. Seifried
Tracking control for underactuated non-minimum phase multibody systems
Nonlinear Dynamics 104 (4), 3671-3699, 2021 [preprint]
doi: 10.1007/s11071-021-06458-4 -
T. Berger, A.-L. Rauert
Funnel cruise control
Automatica 119, Article 109061, 2020 [preprint]
doi: 10.1016/j.automatica.2020.109061 -
T. Berger, S. Otto, T. Reis, R. Seifried
Combined open-loop and funnel control for underactuated multibody systems
Nonlinear Dynamics 95 (3), 1977-1998, 2019 [preprint]
doi: 10.1007/s11071-018-4672-5 - T. Berger, A.-L. Rauert
A universal model-free and safe adaptive cruise control mechanism
Proceedings of the MTNS 2018, Hong Kong, pp. 925-932, 2018 [pdf]
B. Optimierungsbasierte Regelung
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L. Lanza, D. Dennstädt, T. Berger, K. Worthmann
Safe continual learning in model predictive control with prescribed bounds on the tracking error
eingereicht bei: International Journal of Robust and Nonlinear Control [pdf] -
B. Oppeneiger, L. Lanza, M. Schell, D. Dennstädt, M. Schaller, B. Zamzow, T. Berger, K. Worthmann
Model predictive control of a magnetic levitation system with prescribed output tracking performance
Control Engineering Practice 151, Article 106018, 2024
doi: 10.1016/j.conengprac.2024.106018 (open access) -
T. Berger, D. Dennstädt, L. Lanza, K. Worthmann
Robust Funnel Model Predictive Control for Output Tracking with Prescribed Performance
SIAM Journal on Control and Optimization 62 (4), 2071-2097, 2024 [preprint]
doi: 10.1137/23M1551195 -
T. Berger, D. Dennstädt
Funnel MPC for nonlinear systems with arbitrary relative degree
Automatica 167, Article 111759, 2024 [preprint]
doi: 10.1016/j.automatica.2024.111759 (open access) -
T. Berger, D. Dennstädt, A. Ilchmann, K. Worthmann
Funnel MPC for nonlinear systems with relative degree one
SIAM Journal on Control and Optimization 60 (6), 3358-3383, 2022 [preprint]
doi: 10.1137/21M1431655 -
T. Berger, D. Dennstädt
Funnel MPC with feasibility constraints for nonlinear systems with arbitrary relative degree
IEEE Control Systems Letters 6, 2804-2809, 2022 [preprint]
doi: 10.1109/LCSYS.2022.3178478 -
T. Berger, C. Kästner, K. Worthmann
Learning-based Funnel-MPC for output-constrained nonlinear systems
IFAC-PapersOnLine 53 (2), 5177-5182, 2020 [preprint]
doi: 10.1016/j.ifacol.2020.12.1186
- J. G. Lee, T. Berger, S. Trenn and H. Shim
Utility of Edge-wise Funnel Coupling for Asymptotically Solving Distributed Consensus Optimization
Proceedings of the European Control Conference 2020, Saint Petersburg, Russia, pp. 911-916, 2020 [preprint]
doi: 10.23919/ECC51009.2020.9143983
C. Differentiell-algebraische Systeme
Dissertation:
- T. Berger
On differential-algebraic control systems
Universitätsverlag Ilmenau, 2014.
ISBN: 978-3-86360-081-5
[pdf] official website
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T. Berger, T. Reis, S. Trenn
Observability of linear differential-algebraic systems - a survey
In: Achim Ilchmann and Timo Reis (eds.) Surveys in Differential-Algebraic Equations IV, Differential-Algebraic Equations Forum, pp. 161-219. Springer, Berlin-Heidelberg, 2017 [preprint]
doi: 10.1007/978-3-319-46618-7_4 -
T. Berger, T. Reis
Controllability of linear differential-algebraic systems - a survey
In: Achim Ilchmann and Timo Reis (eds.) Surveys in Differential-Algebraic Equations I, Differential-Algebraic Equations Forum, pp. 1-61. Springer, Berlin-Heidelberg, 2013 [preprint]
doi: 10.1007/978-3-642-34928-7_1
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T. Berger, A. Ilchmann, S. Trenn
Quasi feedback forms for differential-algebraic systems
IMA Journal of Mathematical Control and Information 39 (2), 533-563, 2022 [preprint]
doi: 10.1093/imamci/dnab030 -
T. Berger
The zero dynamics form for nonlinear differential-algebraic systems
IEEE Transactions on Automatic Control 62 (8), 4131-4137, 2017 [preprint]
doi: 10.1109/TAC.2016.2620561 -
T. Berger
Zero dynamics and funnel control of general linear differential-algebraic systems
ESAIM: Control, Optimisation and Calculus of Variations 22 (2), 371-403, 2016 [preprint]
doi: 10.1051/cocv/2015010 -
T. Berger, C. Trunk, H. Winkler
Linear relations and the Kronecker canonical form
Linear Algebra and its Applications 488, 13-44, 2016 [preprint]
doi: 10.1016/j.laa.2015.09.033 -
T. Berger, P. Van Dooren
Computing the regularization of a linear differential-algebraic system
Systems & Control Letters 86, 48-53, 2015 [preprint]
doi: 10.1016/j.sysconle.2015.10.003 -
T. Berger, S. Trenn
Kalman controllability decompositions for differential-algebraic systems
Systems & Control Letters 71, 54-61, 2014 [preprint]
doi: 10.1016/j.sysconle.2014.06.004 -
T. Berger, S. Trenn
Addition to "The quasi-Kronecker form for matrix pencils"
SIAM Journal on Matrix Analysis and Applications 34 (1), 94–101, 2013 [pdf]
doi: 10.1137/120883244 -
T. Berger, A. Ilchmann
On the standard canonical form of time-varying linear DAEs
Quarterly of Applied Mathematics 71 (1), 69-87, 2013 [preprint]
doi: 10.1090/S0033-569X-2012-01285-1 -
T. Berger, A. Ilchmann, T. Reis
Normal forms, high-gain and funnel control for linear differential-algebraic systems
In: L.T. Biegler, S.L. Campbell, V. Mehrmann (eds.) Control and Optimization with Differential-Algebraic Constraints, Advances in Design and Control, vol. 23, pp. 127–164. SIAM, Philadelphia, 2012 [preprint]
doi: 10.1137/9781611972252.ch7 -
T. Berger, S. Trenn
The quasi-Kronecker form for matrix pencils
SIAM Journal on Matrix Analysis and Applications 33 (2), 336-368, 2012 [pdf]
doi: 10.1137/110826278 -
T. Berger, A. Ilchmann, T. Reis
Zero dynamics and funnel control of linear differential-algebraic systems
Mathematics of Control, Signals and Systems 24 (3), 219-263, 2012 [preprint]
doi: 10.1007/s00498-012-0085-z -
T. Berger, A. Ilchmann, S. Trenn
The quasi-Weierstraß form for regular matrix pencils
Linear Algebra and its Applications 436 (10), 4052-4069, 2012 [preprint]
doi: 10.1016/j.laa.2009.12.036
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T. Berger, H. Gernandt, C. Trunk, H. Winkler, M. Wojtylak
The gap distance to the set of singular matrix pencils
Linear Algebra and its Applications 564, 28-57, 2019 [preprint]
doi: 10.1016/j.laa.2018.11.020 -
T. Berger, A. Ilchmann, F. Wirth
Zero dynamics and stabilization for analytic linear systems
Acta Applicandae Mathematicae 138 (1), 17-57, 2015 [preprint]
doi: 10.1007/s10440-014-9956-2 -
T. Berger
Zero dynamics and stabilization for linear DAEs
In: Sebastian Schöps, Andreas Bartel, Michael Günther, E. Jan W. ter Maten, and Peter C. Müller (eds.) Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum, pp. 21-45. Springer, Berlin-Heidelberg, 2014 [preprint]
doi: 10.1007/978-3-662-44926-4_2 -
T. Berger
Robustness of stability of time-varying index-1 DAEs
Mathematics of Control, Signals, and Systems 26 (3), 403-433, 2014 [preprint]
a more comprehensive preprint version can be found here: [preprint2]
doi: 10.1007/s00498-013-0123-5 -
T. Berger, A. Ilchmann
On stability of time-varying linear differential-algebraic equations
International Journal of Control 86 (6), 1060-1076, 2013 [preprint]
doi: 10.1080/00207179.2013.773087 -
T. Berger
Bohl exponent for time-varying linear differential-algebraic equations
International Journal of Control 85 (10), 1433-1451, 2012 [preprint]
doi: 10.1080/00207179.2012.688872
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T. Berger, Le Huy Hoang, T. Reis
Vector relative degree and funnel control for differential-algebraic systems
In: Sara Grundel, Timo Reis, and Sebastian Schöps (eds.) Progress in Differential-Algebraic Equations II, Differential-Algebraic Equations Forum, pp. 213-255. Springer, Cham, 2020 [preprint]
doi: 10.1007/978-3-030-53905-4_8 -
T. Berger
Zero dynamics and funnel control of general linear differential-algebraic systems
ESAIM: Control, Optimisation and Calculus of Variations 22 (2), 371-403, 2016 [preprint]
doi: 10.1051/cocv/2015010 -
T. Berger, T. Reis
Zero dynamics and funnel control for linear electrical circuits
Journal of the Franklin Institute 351 (11), 5099–5132, 2014 [preprint]
doi: 10.1016/j.jfranklin.2014.08.006 -
T. Berger, A. Ilchmann, T. Reis
Normal forms, high-gain and funnel control for linear differential-algebraic systems
In: L.T. Biegler, S.L. Campbell, V. Mehrmann (eds.) Control and Optimization with Differential-Algebraic Constraints, Advances in Design and Control, vol. 23, pp. 127–164. SIAM, Philadelphia, 2012 [preprint]
doi: 10.1137/9781611972252.ch7 -
T. Berger, A. Ilchmann, T. Reis
Zero dynamics and funnel control of linear differential-algebraic systems
Mathematics of Control, Signals and Systems 24 (3), 219-263, 2012 [preprint]
doi: 10.1007/s00498-012-0085-z -
T. Berger, A. Ilchmann and T. Reis
Funnel control for nonlinear functional differential-algebraic systems
Proceedings of the MTNS 2014, Groningen, The Netherlands, pp. 46-53, 2014 [pdf]
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J. Jaiswal, T. Berger, N. K. Tomar
Partial causal detectability of linear descriptor systems and existence of functional ODE estimators
eingereicht bei: SIAM Journal on Control and Optimization [pdf] -
J. Jaiswal, T. Berger, N. K. Tomar
Partial detectability and generalized functional observer design for linear descriptor systems
eingereicht bei: Franklin Open [pdf] -
J. Jaiswal, T. Berger, N. K. Tomar
Existence conditions for functional ODE observer design of descriptor systems revisited
Journal of the Franklin Institute 361 (8), Article 106848, 2024 [preprint]
doi: 10.1016/j.jfranklin.2024.106848 -
J. Jaiswal, T. Berger, N. K. Tomar
Partial impulse observability of linear descriptor systems
Systems & Control Letters 168, Article 105352, 2022 [preprint]
doi: 10.1016/j.sysconle.2022.105352 -
T. Berger, L. Lanza
Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities
In: Sara Grundel, Timo Reis, and Sebastian Schöps (eds.) Progress in Differential-Algebraic Equations II, Differential-Algebraic Equations Forum, pp. 257-289. Springer, Cham, 2020 [preprint]
doi: 10.1007/978-3-030-53905-4_9 -
T. Berger, T. Reis
ODE observers for DAE systems
IMA Journal of Mathematical Control and Information 36 (4), 1375-1393, 2019 [preprint]
doi: 10.1093/imamci/dny032 -
T. Berger
On observers for nonlinear differential-algebraic systems
IEEE Transactions on Automatic Control 64 (5), 2150-2157, 2019 [preprint]
doi: 10.1109/TAC.2018.2866438 -
T. Berger
Disturbance decoupled estimation for linear differential-algebraic systems
International Journal of Control 92 (3), 593-612, 2019 [preprint]
doi: 10.1080/00207179.2017.1363411 -
T. Berger, T. Reis
Observers and dynamic controllers for linear differential-algebraic systems
SIAM Journal on Control and Optimization 55 (6), 3564-3591, 2017 [pdf]
doi: 10.1137/15M1035355
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T. Berger
Disturbance decoupling by behavioral feedback for linear differential-algebraic systems
Automatica 80, 272-283, 2017 [preprint]
doi: 10.1016/j.automatica.2017.01.012 -
T. Berger
Controlled invariance for nonlinear differential-algebraic systems
Automatica 64, 226-233, 2016 [preprint]
doi: 10.1016/j.automatica.2015.11.024 -
T. Berger, T. Reis
Regularization of linear time-invariant differential-algebraic systems
Systems & Control Letters 78, 40-46, 2015 [preprint]
doi: 10.1016/j.sysconle.2015.01.013
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T. Berger, N. Karcanias, M. Livada
The pseudo-McMillan degree of implicit transfer functions of RLC networks
Circuits, Systems, and Signal Processing 38 (3), 967-985, 2019 [preprint]
doi: 10.1007/s00034-018-0921-6 -
T. Berger, G. Halikias, N. Karcanias
Effects of dynamic and non-dynamic element changes in RC and RL networks
International Journal of Circuit Theory and Applications 43 (1), 36-59, 2015 [preprint]
doi: 10.1002/cta.1923 -
T. Berger, T. Reis
Zero dynamics and funnel control for linear electrical circuits
Journal of the Franklin Institute 351 (11), 5099-5132, 2014 [preprint]
doi: 10.1016/j.jfranklin.2014.08.006 -
T. Berger, T. Reis
Structural properties of positive real and reciprocal rational matrices
Proceedings of the MTNS 2014, Groningen, The Netherlands, pp. 402-409, 2014 [pdf]