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Nonlinear Systems and Nonlinear Control

[1] H.W. Knobloch, C. Ebenbauer, and F. Allgöwer.
A framework for disturbance attenuation with discontinuous control.
In 15th IFAC World Congress, Barcelona, Spain, 2002.
[2] C. Ebenbauer and F. Allgöwer.
Minimum-phase property of nonlinear systems in terms of a dissipation inequality.
In Proc. of the American Control Conference (ACC), Boston, USA, pages 1737-1742, 2004.
[3] C. Ebenbauer, T. Raff, and F. Allgöwer.
A simple separation result for control affine systems.
In Proc. of the 16th IFAC World Congress, Prague, Czech Republic, 2005.
Paper No. 04357.
[4] C. Ebenbauer and F. Allgöwer.
Stability and robustness analysis of Boolean difference equations.
In Institute for Systems Theory and Automatic Control - Internal Reports, 2005.
Available from www.ist.uni-stuttgart.de/reports.
[5] T. Raff, P. Menold, C. Ebenbauer, and F. Allgöwer.
A finite time functional observer for linear systems.
In Proc. of the 44th IEEE Conference on Decision and Control (CDC), Seville, Spain, pages 7198-7203, 2005.
[6] C. Ebenbauer and F. Allgöwer.
A dissipation inequality for the minimum phase property of nonlinear control systems.
In L. Marconi, C. Bonivento, and A. Isidori, editors, Advances in Control Theory and Applications, volume 353, pages 71-83. Springer Lecture Notes in Control and Information Sciences, Springer Verlag, 2007.
[7] C. Ebenbauer and F. Allgöwer.
Stability analysis of constrained control systems: An alternative approach.
Systems and Control Letters, 56(2):93-98, 2007. pdf
[8] C. Ebenbauer, T. Raff, and F. Allgöwer.
Certainty-equivalence feedback design with polynomial-type feedbacks which guaranteed ISS.
IEEE Transactions on Automatic Control, 52:716-720, April 2007. pdf
[9] P. Wieland, C. Ebenbauer, and F. Allgöwer.
Ensuring task-independent safety for multi-agent systems by feedback.
In Proc. of the American Control Conference (ACC), New York, USA, pages 3880-3885, 2007.
[10] C. Ebenbauer.
A dynamical system that computes eigenvalues and diagonalizes matrices with a real spectrum.
In Proc. of the 46th IEEE Conference on Decision and Control (CDC), New Orleans, USA, pages 1704-1709, 2007. pdf
[11] C. Ebenbauer.
Detecting oscillatory behavior using Lyapunov functions.
In Proc. of the 46th IEEE Conference on Decision and Control (CDC), New Orleans, USA, pages 1615-1620, 2007.
[12] C. Ebenbauer and F. Allgöwer.
A dissipation inequality for the minimum phase property.
IEEE Transactions on Automatic Control, 53(3):821-826, April 2008. pdf
[13] M. Bürger, T. Raff, C. Ebenbauer, and F. Allgöwer.
Extensions on a certainty-equivalence feedback design with a class of feedbacks which guarantee ISS.
In Proc. of the American Control Conference (ACC), Seattle, USA, pages 383-388, 2008.
[14] C. Ebenbauer, T. Raff, and F. Allgöwer.
Dissipation inequalities in systems theory: An introduction and recent results.
In R. Jeltsch and G. Wanner, editors, Invited Lectures of the 6th International Congress on Industrial and Applied Mathematics 2007, pages 23-42. European Mathematical Society Publishing House, 2009. pdf
[15] C. Ebenbauer and A. Arsie.
On an eigenflow equation and its Lie algebraic generalization.
Communications in Information and Systems, 8:147-170, 2008. pdf Visualization
[16] A. Arsie and C. Ebenbauer.
Refining LaSalle's invariance principle.
In Proc. of the American Control Conference (ACC), St. Louis, USA, pages 108-112, 2009.
[17] G.S. Schmidt, C. Ebenbauer, and F. Allgöwer.
Synchronization of Lyapunov oscillators.
In Proc. of the 49th IEEE Conference on Decision and Control (CDC), Atlanta, Georiga, USA, pages 6230 - 6235, 2010.
[18] A. Arsie and C. Ebenbauer.
Locating omega-limit sets using height functions.
Journal of Differential Equations, 248:2458-2469, 2010.
[19] G.S. Schmidt, C. Ebenbauer, and F. Allgöwer.
Observability properties of the periodic Toda lattice.
In Proc. of the 9th IEEE Int. Conference on Control and Automation, Santiago, Chile, pages 704 - 709, 2011.
[20] G.S. Schmidt, C. Ebenbauer, and F. Allgöwer.
A solution for a class of output regulation problems on SO(n).
In Proc. of the American Control Conference (ACC), Montreal, Canada, pages 1773-1779, 2012.
[21] H.B. Dürr, S. Stankovic, D.V. Dimarogonas, C. Ebenbauer, and K.H. Johansson.
Obstacle avoidance for an extremum seeking system using a navigation function.
In Proc. the American Control Conference 2013, Washington DC, USA, 2013.
Accepted for Publication.
[22] H. B. Dürr, M. S. Stankovi'c, C. Ebenbauer, and K. H. Johansson.
Lie Bracket Approximation of Extremum Seeking Systems.
Automatica, 2013.
To appear.
[23] A. Arsie and C. Ebenbauer.
A Hessenberg isospectral flow for eigenvalue problems.
In Proc. of the Annual Meeting of the International Association of Applied Mathematics and Mechanics, Novi Sad, Serbia, 2013.
Accepted for Publication.
[24] G.S. Schmidt, C. Ebenbauer, and F. Allgöwer.
Output regulation for attitude control: A global approach.
In Proc. of the American Control Conference (ACC), Washington DC, USA, pages 1773-1779, 2013.
Accepted for Publication.

Computation, Convex Optimization and Control

[1] C. Ebenbauer and F. Allgöwer.
Computer-aided stability analysis of differential-algebraic equations.
In Proc. of the Symposium on Nonlinear Control Systems (NOLCOS), Stuttgart, Germany, pages 1025-1029, 2004.
[2] C. Ebenbauer, R. Findeisen, and F. Allgöwer.
Nonlinear high-gain observer design via semidefinite programming.
In Proc. of the Symposium on System, Structure, and Control (SSSC), Oaxaca, Mexico, pages 751-756, 2004.
[3] T. Raff, C. Ebenbauer, and F. Allgöwer.
Feedback passivation of an electrostatic microactuator: A semidefinite programming approach.
In Proc. of the Symposium on Nonlinear Control Systems (NOLCOS), Stuttgart, Germany, pages 1181-1186, 2004.
[4] T. Raff, C. Ebenbauer, and F. Allgöwer.
Passivity-based nonlinear dynamic output feedback design: A semidefinite programming approach.
In Proc. of the 43rd IEEE Conference on Decision and Control (CDC), Paradise Island, Bahamas, pages 5409-5414, 2004.
[5] C. Ebenbauer, T. Raff, and F. Allgöwer.
Passivity-based feedback design for polynomial control systems.
Automatisierungstechnik (at), 53:356-366, 2005.
[6] C. Ebenbauer, T. Raff, and F. Allgöwer.
A duality-based LPV approach to polynomial state feedback design.
In Proc. of the American Control Conference (ACC), Portland, USA, pages 703-708, 2005.
[7] C. Ebenbauer, J. Renz, and F. Allgöwer.
Polynomial state feedback and observer design using nonquadratic Lyapunov functions.
In Proc. of the 44th IEEE Conference on Decision and Control (CDC), Seville, Spain, pages 7587-7592, 2005.
[8] C. Ebenbauer and F. Allgöwer.
Polynomial control systems: Analysis and design via dissipation inequalities.
In Proc. of the 7th Chemical Process Control Conference (CPC), Lake Lousie, Canada, 2006.
CDROM.
[9] C. Ebenbauer.
Polynomial Control Systems: Analysis and Design via Dissipation Inequalities and Sum of Squares.
PhD thesis, University of Stuttgart, 2005.
[10] C. Ebenbauer and F. Allgöwer.
Analysis and design of polynomial control systems using dissipation inequalities and sum of squares.
Journal of Computers and Chemical Engineering, 30(11):1601-1614, 2006.
[11] C. Ebenbauer and F. Allgöwer.
Stability analysis for time-delay systems using Rekasius's substitution and sum of squares.
In Proc. of the 45th IEEE Conference on Decision and Control (CDC), San Diego, USA, pages 5376-5381, 2006.
[12] U. Münz, C. Ebenbauer, and F. Allgöwer.
Stability of networked systems with multiple delays using linear programming.
In Proc. of the American Control Conference (ACC), New York, USA, pages 5515-5520, 2007.
[13] U. Münz, C. Ebenbauer, T. Haag, and F. Allgöwer.
Stability analysis of time-delay systems in the frequency domain using positive polynomials.
IEEE Transactions on Automatic Control, 54:1019-1024, 2009.
[14] C. Ebenbauer.
Linear matrix inequalities for normalizing matrices.
In Proc. of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Budapest, Hungary, 2010. pdf
[15] S. Schuler, C. Ebenbauer, and F. Allgöwer.
l0-system gain and l1-optimal control.
In Proc. of the 18th IFAC World Congress, Milano, Italy, pages 9230-9235, 2011.
[16] H.B. Dürr and C. Ebenbauer.
A smooth vector field for saddle point problems.
In Proc. of the 50th IEEE Conference on Decision and Control (CDC), Orlando, Forida, USA, pages 4654 - 4660, 2011.
[17] H.B. Dürr, S. Zeng, and C. Ebenbauer.
Ein nichtlineares System zum Lösen von Sattelpunktproblemen und linearen Programmen.
In Proc. of the 17. Steirisches Seminar über Regelungstechnik und Prozessautomatisierung, Leibnitz, Austria, pages 32 - 49, 2011. pdf
[18] H.B. Dürr and C. Ebenbauer.
On a class of smooth optimization algorithms with applications in control.
In Proc. of the 4th IFAC NMPC Conference 2012, Leeuwenhorst, Netherlands, pages 291-298, 2012.
[19] H.B. Dürr, S. Erkin, and C. Ebenbauer.
A smooth vector field for quadratic programming.
In Proc. of the 51st IEEE Conference on Decision and Control (CDC), Maui, Hawaii, USA, pages 2515-2520, 2012.
[20] F.D. Brunner, H.B. Dürr, and C. Ebenbauer.
Feedback design for multi-agent systems: A saddle point approach.
In Proc. of the 51st IEEE Conference on Decision and Control (CDC), Maui, Hawaii, USA, pages 3783-3789, 2012.

Predictive Control

[1] F. Allgöwer, R. Findeisen, and C. Ebenbauer.
Nonlinear model predictive control, 2003.
Encyclopedia for Life Support Systems (EOLSS) article contribution 6.43.16.2.
[2] A. Yonchev, R. Findeisen, C. Ebenbauer, and F. Allgöwer.
Model predictive control of linear continuous time singular systems subject to input constraints.
In Proc. of the 43rd Conference on Decision and Control (CDC), Paradise Island, Bahamas, pages 2047-2052, 2004.
[3] T. Raff, R. Findeisen, C. Ebenbauer, and F. Allgöwer.
Model predictive control of discrete time polynomial control systems: A convex approach.
In Proc. of the Symposium on System, Structure, and Control (SSSC), Oaxaca, Mexico, pages 158-163, 2004.
[4] T. Raff, C. Ebenbauer, R. Findeisen, and F. Allgöwer.
Remarks on moving horizon state estimation with guaranteed convergence.
In T. Meurer, K. Graichen, and E.D. Gilles, editors, Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, volume 322, pages 67-80. Springer Lecture Notes in Control and Information Sciences, Springer Verlag, 2005.
[5] T. Raff, C. Ebenbauer, R. Findeisen, and F. Allgöwer.
Nonlinear model predictive control and sum of squares techniques.
In M. Diehl and K. Mombaur, editors, Fast Motions in Biomechanics and Robotics - Optimization and Feedback Control, volume 340. Springer Lecture Notes in Control and Information Sciences, Springer Verlag, 2006.
[6] T. Raff, C. Ebenbauer, and F. Allgöwer.
Nonlinear model predictive control: A passivity-based approach.
In Proc. of the International Workshop on Assessment and Future Directions of Nonlinear Model Predictive Control (NMPC05), Freudenstadt-Lauterbad, Germany, 2005.
CDROM.
[7] T. Raff, C. Ebenbauer, and F. Allgöwer.
Passivity-based model predictive control.
In L. Biegler F. Allgöwer and R. Findeisen, editors, Assessment and Future Directions of Nonlinear Model Predictive Control, volume 358, pages 151-162. Springer Lecture Notes in Control and Information Sciences, Springer Verlag, 2007.
[8] C. Feller and C. Ebenbauer.
A barrier function based continuous-time algorithm for linear model predictive control.
In Proc. of the European Control Conference (ECC), Zurich, Switzerland, 2013.
Accepted for Publication.

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