Prof. Dr. Karl Worthmann
Besuchsanschrift:
Weimarer Str. 25
Curiebau, Raum C 336
98693 Ilmenau
Postanschrift:
Postfach 10 05 65
98684 Ilmenau
+49 3677 69-3624
My research interests are (in alphabetical order):
Teaching
Publications
2021
Journal articles:
- T. Faulwasser, B. Maschke, F. Philipp, M. Schaller, K. Worthmann
Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
(arxiv.org/abs/2106.06571) submitted, 35 pages, 2021 - W.D. Esterhuizen, K. Worthmann, and S. Streif
Recursive feasibility of continuous-time model predictive control without stabilising constraints
IEEE Control Systems Letters 5(1):265-270, 2021
DOI: 10.1109/LCSYS.2020.3001514 (Preprint available at arXiv:200307598) - S. Grundel, S. Heyder, T. Hotz, T.K. Ritschel, P. Sauerteig, and K. Worthmann
How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental model
Submitted (Preprint available at arXiv:2011.01282) - S. Grundel, S. Heyder, T. Hotz, T.K. Ritschel, P. Sauerteig, and K. Worthmann
How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks
Submitted (Preprint available at medRxiv: DOI: 10.1101/2020.12.22.20248707) - A. Ilchmann, J. Witschel, and K. Worthmann
Model predictive control for singular differential-algebraic equations
International Journal of Control, accepted for publication. - Y. Jiang, P. Sauerteig, B. Houska, and K. Worthmann
Distributed Optimization using ALADIN for Model Predictive Control in Smart Grids
IEEE Transactions on Control Systems Technology.
DOI: 10.1109/TCST.2020.3033010 (Preprint available at arXiv:2004.01522)
Books:
- T. Faulwasser, M.A. Müller, K. Worthmann (Eds.)
Recent Advances in Model Predictive Control
to appear in Lecture Notes in Control and Information Sciences, Springer, 2021.
DOI: 10.1007/978-3-030-63281-6
Book Chapters:
- T. Aschenbruck, M. Baumann, W. Esterhuizen, B. Filipecki, S. Grundel, C. Helmberg, P. Sauerteig, S. Streif, T.K.S. Ritschel, and K. Worthmann
Optimization and Stabilization of Hierarchical Electrical Networks
to appear in S. Göttlich, M. Herty, and A. Milde (Eds.): Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, Springer, 2021. - T. Faulwasser, M. Mehrez, and K. Worthmann
Predictive path-following without terminal constraints
to appear in T. Faulwasser, M.A. Müller, and K. Worthmann (Eds.): Recent Advances in Model Predictive Control, Springer 2021
DOI: 10.1007/978-3-030-63281-6 - P. Sauerteig, M. Baumann, J. Dickert, S. Grundel, and K. Worthmann
Reducing transmission losses via reactive power control
to appear in S. Göttlich, M. Herty, and A. Milde (Eds.): Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, Springer, 2021.
Refereed Proceedings:
- V. Kleyman, M. Schaller, M. Wilson, M. Mordmüller, R. Brinkmann, K. Worthmann, and Matthias A. Müller
State and parameter estimation for model-based retinal laser treatment
Submitted - F. Rußwurm, W. Esterhuizen, K. Worthmann, and S. Streif
Interplay of MPC and the Viability Kernel
Submitted - M. Schaller, F. Philipp, T. Faulwasser, K. Worthmann, and B. Maschke
Control of port-Hamiltonian systems with minimal energy supply
Submitted
Preprint available at arxiv:2011.10296
2020
Journal Articles:
- J.-M. Coron, L. Grüne, and K. Worthmann
Model Predictive Control, Cost Controllability, and Homogeneity
SIAM Journal on Control and Optimization 58(5):2979-2996, 2020.
DOI: 10.1137/19M1265995 (Preprint available at arXiv:1906.05112) - V. Kleyman, H. Gernandt, K. Worthmann, H.S. Abbas, R. Brinkmann, and M.A. Müller
Modeling and parameter identification for real-time temperature controlled retinal laser therapies
at - Automatisierungstechnik 68(11):953-966, 2020.
DOI: 10.1515/auto-2020-0074 - M.W. Mehrez, K. Worthmann, J.P.V. Cenerini, M. Osman, W.W. Melek, S. Jeon
Model Predictive Control without Terminal Constraints or Costs for Holonomic Mobile Robots
Robotics and Autonomous Systems 127, 103468, 2020.
DOI: 10.1016/j.robot.2020.103468 - P. Sauerteig and K. Worthmann
Towards multi-objective optimization and control of smart grids
Optimal Control - Applications and Methods (OCAM); special issue MPC for Energy Systems: Economic and Distributed Approaches 41:128-145, 2020.
DOI: 10.1002/oca.2532; open access
Refereed Proceedings:
- T. Berger, C. Kästner, and K. Worthmann
Learning-based Funnel-MPC for output-constrained nonlinear systems
Proceedings of the 21st IFAC World Congress, Berlin, Germany, 2020, to appear
Preprint available at ArXiv:1912.01843 - T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann
A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems
Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2020), 2021, accepted for publication
Preprint available at ArXiv:2002.04388 - V. Kleyman, H.S. Abbas, R. Brinkmann, K. Worthmann, and M.A. Müller
Modelling of heat diffusion for temperature-controlled retinal photocoagulation
Proceedings of the Automation in Medical Engineering 2020; 1(1):006
DOI: 10.18416/AUTOMED.2020 - P. Sauerteig, Y. Jiang, B. Houska, and K. Worthmann
Distributed Control Enforcing Group Sparsity in Smart Grids
Proceedings of the 21st IFAC World Congress, Berlin, Germany, 2020, to appear
Preprint available at ArXiv:2002.03393
2019
Journal Articles:
- M. Baumann, S. Grundel, P. Sauerteig, and K. Worthmann
Surrogate models in bidirectional optimization of coupled microgrids
at - Automatisierungstechnik 2019; 67(12): 1035-1046.
DOI: 10.1515/auto-2019-0075 (arXiv:1911.04547) - K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann
Symmetry and Motion Primitives in Model Predictive Control
Mathematics of Control, Signals, and Systems (MCSS) 2019; 31(4): 455-485.
DOI: 10.1007/s00498-019-00246-7 (arXiv:1906.09134) - K. Flaßkamp, K. Worthmann, J. Mühlenhoff, C. Greiner-Petter, C. Büskens, J. Oertel, D. Keiner, and T. Sattel
Towards Optimal Control of Concentric Tube Robots in Stereotactic Neurosurgery
Mathematical and Computer Modelling of Dynamical Systems 2019; 560-574
DOI: 10.1080/13873954.2019.1690004 - A. Ilchmann, L. Leben, J. Witschel, and K. Worthmann
Optimal Control of differential-algebraic equations from an ordinary differential equation perspective
Optimal Control - Applications and Methods (OCAM) 40:351-366, 2019
Doi: 10.1002/oca.2481 (arXiv:1806.09518)
Book Chapters:
- P. Braun, P. Sauerteig, and K. Worthmann
Distributed optimization based control on the example of microgrids
In M.J. Blondin, P.M. Pardalos, and J. Saéz, editors, Computational Intelligence and Optimization Methods for Control Engineering, volume 150 of Springer Optimization and Its Applications. Springer International Publishing, 2019, pp. 173-200. - S. Grundel, P. Sauerteig, and K. Worthmann
Surrogate models for coupled microgrids
In I. Faragó, F. Izsák, P.L. Simon, editors, Progress in Industrial Mathematics at ECMI 2018, volume 30 of Mathematics in Industry, Springer, 2019, pp. 477-483.
Refereed Proceedings:
- T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann
Towards Velocity Turnpikes in Optimal Control of Mechanical Systems
IFAC PapersOnLine 2019; 52(16):490-495
DOI: 10.1016/j.ifacol.2019.12.009 (arXiv:1907.01786)
(11th IFAC Symposium on Nonlinear Control Systems, Vienna, Austria)
2018
Journal Articles:
- P. Braun, T. Faulwasser, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann
Hierarchical Distributed ADMM for Predictive Control with Applications in Power Networks
IFAC Journal of Systems and Control 3, 10-22, 2018.
Doi: 10.1016.j.ifacsc.2018.01.001 - T. Sprodowski, M.W. Mehrez, K. Worthmann, G.K.I. Mann, R.G. Gosine, J.K. Sagawa, and J. Pannek
Differential Communication with Distributed MPC based on Occupancy Grid
Information Sciences 453, 426-441, 2018.
Doi: 10.1016/j.ins.2018.04.034
Books:
- S. Kurz, M. Stoll, and K. Worthmann
Angewandte Mathematik - Ein Lehrbuch für Lehramtsstudierende
Springer Spektrum (German).
Doi: 10.1007/978-3-662-56705-0
Refereed Proceedings:
- K. Flaßkamp, K. Worthmann, C. Greiner-Petter, C. Büskens, T. Sattel
An Optimal Control Problem for Stereotactic Neurosurgery
Vol. ARGESIM Report 55, 67-68, 2018
(MathMod 2018 Extended Abstract Volume) - A. Ilchmann, J. Witschel, and K. Worthmann
Model Predictive Control for Linear Differential-Algebraic Equations
IFAC PapersOnLine 51 (20), 116-121, 2018
(6th IFAC Conference on Nonlinear Model Predictive Control, Madison, Wisconsin, USA) - A. Ilchmann, J. Witschel, and K. Worthmann
Model Predictive Control for Linear DAEs without Terminal Constraints and Costs
IFAC PapersOnLine 51 (20), 98-103, 2018
(6th IFAC Conference on Nonlinear Model Predictive Control, Madison, Wisconsin, USA) - M. Schulze Darup and K. Worthmann
Tailored MPC for mobile robots with very short prediction horizons
in Proceedings of the 2018 European Control Conference (ECC 2018), Limassol, Cyprus, 1361-1366.
2017
Journal Articles:
- P. Braun, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann
Towards price-based predictive control of a small scale electricity network
International Journal of Control, 2017; 93(1):40-61.
Preprint [pdf] available under license Deutsches Urheberrecht
Doi: 10.1080/00207179.2017.1339329 - M.A. Müller and K. Worthmann
Quadratic costs do not always work in MPC
Automatica 82, 269-277, 2017.
Preprint [pdf] available under license Deutsches Urheberrecht
Doi: 10.1016/j.automatica.2017.04.058 - M. Proch, K. Worthmann, J. Schlüchtermann
A negotiation-based algorithm to coordinate supplier development in decentralized supply chains
European Journal of Operational Research, 256(2), 412-429, 2016. Doi:10.1016/j.ejor.2016.06.029 (open access) - K. Worthmann, M.W. Mehrez, G.K.I. Mann, R.G. Gosine, and J. Pannek
Interaction of Open and Closed Loop Control in MPC
Automatica 82, 243-250, 2017.
Preprint [pdf] available under license Deutsches Urheberrecht
Doi: 10.1016/j.automatica.2017.04.038
Refereed Proceedings:
- D.-M. Ioan, F. Stoican, and K. Worthmann
Active fault detection and isolation in a zonotopic framework
in Proceedings of the 21st IEEE International Conference on System Theory, Control and Computing (ICSTCC 2017), Sinaia, Romania, 595-600. - M.W. Mehrez, T. Sprodowski, K. Worthmann, G.K.I. Mann, R.G. Gosine, J.K. Sagawa, and J. Pannek
Occupancy Grid based Distributed MPC of Mobile Robots
in Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2017), Vancouver, Canada, 4842-4847. - M.W. Mehrez, K. Worthmann, G.K.I. Mann, R.G. Gosine, and T. Faulwasser
Predictive Path Following of Mobile Robots without Terminal Stabilizing Constraints
IFAC PapersOnLine 50(1), 9852-9857, 2017 (IFAC World Congress, Toulouse, France)
Doi: 10.1016/j.ifacol.2017.08.907 - M.W. Mehrez, K. Worthmann, G.K.I. Mann, R.G. Gosine, and J. Pannek
Experimental Speedup and Stability Validation for Multi-Step MPC
IFAC PapersOnLine 50(1), 8698-8703, 2017 (IFAC World Congress, Toulouse, France)
Doi: 10.1016/j.ifacol.2017.08.1551
Proceedings (without peer-review):
- J.P. Bergmann, M. Bielenin, R.A. Herzog, J. Hildebrand, I. Riedel, K. Schricker, C. Trunk, K. Worthmann
Prevention of solidification cracking during pulsed laser beam welding
PAMM Proc. Appl. Math. Mech. 17, 405 – 406, 2017
Doi: 10.1002/pamm.201710172 - M.A. Müller and K. Worthmann
On quadratic stage costs for mobile robots in model predictive control
PAMM Proc. Appl. Math. Mech. 17, 825-826, 2017
Doi: 10.1002/pamm.201710380
2016
Journal Articles:
- P. Braun, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann
A Distributed Optimization Algorithm for the Predictive Control of Smart Grids
IEEE Transactions on Automatic Control 61(12), 3898-3911, 2016.
Preprint [pdf] available under license Deutsches Urheberrecht. - K. Worthmann, M.W. Mehrez, M. Zanon, G.K.I. Mann, R.G. Gosine, M. Diehl
Model Predictive Control of Nonholonomic Mobile Robots without Stabilizing Constraints and Costs
IEEE Transactions on Control Systems Technology, 24(4), 1394-1406, 2016.
Preprint [pdf] available under license Deutsches Urheberrecht. - K. Worthmann, M. Proch, P. Braun, J. Schlüchtermann, and J. Pannek
Towards Dynamic Contract Extension in Supplier Development
Logistics Research, 9(1), 1-12, 2016.
Doi: 10.1007/s12159-016-0141-z (open access)
Refereed Book Chapters
- P. Braun, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann
Preprint [pdf] available under license Deutsches Urheberrecht.
Model Predictive Control of Residential Energy Systems Using Energy Storage and Controllable Loads
In: G. Russo, V. Capasso, G. Nicosia, V. Romano (eds) Progress in Industrial Mathematics at ECMI 2014. Mathematics in Industry, vol 22, 617-623. Springer, Cham, 2016.
Doi: 10.1007/978-3-319-23413-7_85
Refereed Proceedings:
- P. Braun, T. Faulwasser, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann
Maximal Islanding Time For Microgrids via Distributed Predictive Control
in Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2016), Minneapolis, MN, USA, 2016, 652-659 [pdf]. - K. Worthmann, P. Braun, M. Proch, J. Schlüchtermann, and J. Pannek
On Contractual Periods in Supplier Development
IFAC-PapersOnLine 49(2), 060-065, 2016 (7th IFAC Conference on Management and Control of Production and Logistics (MCPL 2016), Bremen, Germany)
2015
Journal Articles:
- K. Worthmann, C.M. Kellett, P. Braun, L. Grüne, S.R. Weller
Distributed and decentralized Control of Residential Energy Systems incorporating Battery Storage
IEEE Transactions on Smart Grid 6(4), 1914-1923, 2015 [PDF]
Refereed Proceedings:
- P. Braun, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann:
A Real-Time Pricing Scheme for Residential Energy Systems Using a Market Maker
Proceedings of the Australian Control Conference (AUCC 2015), Gold Coast, Australia, 259-262. - P. Braun, L. Grüne, C.M. Kellett, S.R. Weller, and K. Worthmann
Predictive Control of a Smart Grid: A Distributed Optimization Algorithm with Centralized Performance Properties
Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 2015, 5593-5598. - K. Worthmann, M.W. Mehrez, M. Zanon, G.K.I. Mann, R.G. Gosine, M. Diehl
Regulation of Differential Drive Robots using Continuous Time MPC without Stabilizing Constraints or Costs
IFAC-PapersOnLine 48(23): 129-135, 2015 (5th IFAC Conference on Nonlinear Model Predictive Control (NMPC) 2015, Seville, Spain) [pdf] - K. Worthmann, M. Reble, L. Grüne, and F. Allgöwer
Unconstrained Nonlinear MPC: Performance Estimates for Sampled-Data Systems with Zero Order Hold
Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 2015, 4971-4976 [pdf]
2014
Journal Articles:
- A. Boccia, L. Grüne, K. Worthmann
Stability and feasibility of state constrained MPC without stabilizing terminal constraints
Systems and Control Letters 72, 14-21, 2014 [PDF] - T. Damm, L. Grüne, M. Stieler, and K. Worthmann
An exponential turnpike theorem for dissipative discrete time optimal control problems
SIAM J. Control Optim., Vol. 52 (3), 1935-1957, 2014 [PDF] - J. Pannek and K. Worthmann
Stability and performance guarantees for model predictive control algorithms without terminal constraints
ZAMM - Journal of Applied Mathematics and Mechanics; Special Issue on Control theory for digitally networked dynamical systems 94(4), 317-330, 2014 [PDF] - K.Worthmann, M.Reble, L.Grüne, F.Allgöwer
The Role of Sampling for Stability and Performance in Unconstrained Nonlinear Model Predictive Control
SIAM J. Control Optim. 52(1), 581-605, 2014 [PDF]
Refereed Proceedings:
- A. Boccia, L. Grüne, K. Worthmann
Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints
in: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), Groningen, Netherlands, 2014, 1173-1180 [PDF] - K. Worthmann, C.M. Kellett, L. Grüne, and S.R. Weller
Distributed Control of Residential Energy Systems Using a Market Maker
IFAC Proceedings Volumes 47(3), 11641-11646, 2014
(19th IFAC World Congress, Cape Town, South Africa) [PDF]
Proceedings (without peer-review):
- K. Worthmann, M. Reble, L. Grüne, and F. Allgöwer
Nonlinear MPC: the Impact of Sampling on Closed Loop Stability
in: Proceedings in Applied Mathematics and Mechanics (PAMM 2014) 14(1), 911-912, 2014 [PDF]
Book Chapters:
- L. Grüne, F. Allgöwer, R. Findeisen, J. Fischer, D. Groß,
U. D. Hanebeck, B. Kern, M. A. Müller, J. Pannek, M. Reble,
O. Stursberg, P. Varutti, K. Worthmann
Distributed and Networked Model Predictive Control
in: Control Theory of Digitally Networked Dynamic Systems, Chapter 4, J. Lunze (ed.) Springer Verlag, 2014, 111 - 167
DOI: 10.1007/978-3-319-01131-8_4 Front Matter [PDF]
prior
2012
- P. Braun, J. Pannek, K. Worthmann
Predictive Control Algorithms: Stability Despite Shortened Optimization Horizons
in: Proceedings on the 15th IFAC Workshop on Control Applications of Optimization (CAO 2012), Rimini, Italy, 2012, 274-279 [PDF] - L. Grüne, J. Pannek, M. Seehafer, K. Worthmann
Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon
in: Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012), Maui, HI, USA, 2012, 2605-2610 [PDF] - L. Grüne, J. Pannek, K. Worthmann:
Ensuring Stability in Networked Systems with Nonlinear MPC for Continuous Time Systems
in: Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012),
Maui, HI, USA, 2012, 14-19 [PDF]
- L. Grüne, K. Worthmann
A distributed NMPC scheme without stabilizing terminal constraints
in: Distributed Decision Making and Control
Chapter 12, R. Johansson, A. Rantzer (eds.)
Springer Verlag, 2012, 261 - 287
DOI: 10.1007/978-1-4471-2265-4_12 [PDF]
- K. Worthmann
Estimates on the Prediction Horizon Length in Model Predictive Control
in: Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS2012)
Melbourne, Australia, 2012, MTNS2012_0112_paper.pdf [PDF] - K. Worthmann
Estimates of the Prediction Horizon Length in MPC: a Numerical Case Study
IFAC Proceedings Volumes 45(17), 232-237, 2012.
(4th IFAC Conference on Nonlinear Model Predictive Control, Noordwijkerhout, the Netherlands) [PDF]
2011
- J. Pannek, K. Worthmann
Reducing the Prediction Horizon in NMPC: An Algorithm Based Approach
in: Proceedings of the 18th IFAC World Congress
Milano, Italy, 2011, 7969 - 7974 [PDF] - K. Worthmann
Stability Analysis of Unconstrained Receding Horizon Control Schemes
PhD thesis, Bayreuth, Germany, 2011 [PDF]
2010
- N. Altmüller, L. Grüne, K. Worthmann
Instantaneous control of the linear wave equation
in: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2010)
Budapest, Hungary, 2010, 1895 - 1899 [PDF]
- N. Altmüller, L. Grüne, K. Worthmann
Performance of NMPC schemes without stabilizing terminal constraints
in: Recent Advances in Optimization and its Applications in Engineering
M. Diehl, F. Glineur, E. Jarlebring, W. Michiels (eds.)
Springer Verlag, 2010, 289 - 298 DOI: 10.1007/978-3-642-12598-0_25 [PDF]
- N. Altmüller, L. Grüne, K. Worthmann
Receding Horizon optimal control for the wave equation
in: Proceedings of the 49th IEEE Conference on Decision and Control
Atlanta, Georgia, 2010, 3427 - 3432 [PDF] - L. Grüne, J. Pannek, M. Seehafer, K. Worthmann
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon
SIAM Journal on Control and Optimization 48 (8), 4938 - 4962, 2010 DOI: 10.1137/090758696 [PDF] - L. Grüne, M. von Lossow, J. Pannek, K. Worthmann
MPC: implications of a growth condition on exponentially controllable systems
in: Proceedings of NOLCOS 2010
Bologna, Italy, 2010, 385 - 390 DOI: 10.3182/20100901-3-IT-2016.00225 [PDF]
- L. Grüne, M. von Lossow, K. Worthmann
NMPC suboptimality estimates for sampled-data continuous systems
in: Recent Advances in Optimization and its Applications in Engineering
M. Diehl, F. Glineur, E. Jarlebring, W. Michiels (eds.)
Springer Verlag, 2010, 329 - 338 DOI: 10.1007/978-3-642-12598-0_29 [PDF]
2009
- L. Grüne, D. Nesic, K. Worthmann
Digital redesign of nonlinear multi-input systems
in: Oberwolfach Reports 11, 2009, 619 - 622 [PDF] - L. Grüne, J. Pannek, K. Worthmann
A networked unconstrained nonlinear MPC scheme
in: Proceedings of the European Control Conference (ECC) 2009
Budapest, Hungary, 2009, 371 - 376
- [PDF]
- [PDF-extended] - L. Grüne, J. Pannek, K. Worthmann
A prediction based control scheme for networked systems with delays and packet dropouts
in: Proceedings of the 48th IEEE Conference on Decision and Control
Shanghai, China, 2009, 537 - 542 [PDF]
2008
- L. Grüne, D. Nesic, J. Pannek, K. Worthmann
Redesign techniques for nonlinear sampled-data systems
at-Automatisierungstechnik 56 (Special Issue on Digitally Networked Systems)
38 - 48, 2008 DOI: 10.1524/auto.2008.0684 [PDF] - L. Grüne, K. Worthmann
Nonlinear sampled-data redesign: analytical formulas and their practical implementatio
in: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008)
CD-Rom, Paper 084.pdf, 6 pages, Blacksburg, Virginia, 2008, [PDF]
- L. Grüne, K. Worthmann
Sampled-data redesign for nonlinear multi-input systems
in: Geometric Control and Nonsmooth Analysis
F. Ancona, A. Bressan, P. Cannarsa, F. Clarke, P. R. Wolenski (eds.) World Scientific, Singapore, 2008, 206 - 227 DOI: 10.1142/9789812776075_0011 [PDF]
- L. Grüne, K. Worthmann, D. Nesic
Continuous-time controller redesign for digital implementation: a trajectory based approach
Automatica 44, 225 - 232, 2008
DOI: 10.1016/j.automatica.2007.05.003 [PDF]
2006
- L. Grüne, D. Nesic, K. Worthmann
High order approximations by sampled-data feedback
in: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
Kyoto, Japan, 2006, 1780 - 1787 [PDF] - K. Worthmann
Digitale Implementierung kontinuierlicher Regler: Analyse und Optimierung Diplomarbeit
Chair of Applied Mathematics, University of Bayreuth, Germany, 2006 [PDF]