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Kai Wulff

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Contents

Dr. Kai Wulff

Technische Universität Berlin
Fachgebiet Regelungssysteme
Sekretariat EN11
Einsteinufer 17
D-10587 Berlin
Germany

Office: EN 241 (Elektrotechnik Neubau)
Phone: +49 (0)30 314-22276
Fax: +49 (0)30 314-21137
Email: Wulff@control.TU-berlin.de


Teaching


Consultation

Mondays, 1.30pm - 2.30pm


Student Projects

Current projects
  • Modellierung eines Common-Rail Einspritzsystems für Kfz-Dieselmotoren (laufend)



Diploma and master thesis

Proposed topics
Alle Studien- und Diplomarbeiten können wahlweise in deutsch oder englisch verfaßt und betreut werden.
All thesis can be written and supervised in English or German.
Current theses
  • Diplomarbeit: Entwicklung eines Auslegungswerkzeuges für Magnetlager-Regelungen (in Kooperation mit Siemens AG), Bearbeiter: Chen Keming, Co-Betreuer: Johann Reger
  • Masterarbeit: Untersuchung von Konzepten zur hochdynamischen Ladedruckregelung von Verbrennungsmotoren in industriellen Anwendungen (in Kooperation mit IAV GmbH, Gifhorn), Bearbeiterin: Xu Lijuan


Past theses
Yuan Wei. Entwicklung einer Regelung für ein Kfz-Brennstoffzellen-System. Diplomarbeit, in Kooperation mit Robert Bosch GmbH, 2007.
Chen Keming. Regelungsentwurf für magnetgelagerte Rotoren. Studienarbeit, in Kooperation mit Siemens AG, 2007.
Christoph Horst. Throughput-Optimal Cyclic Scheduling With Pooling Resources. Diploma thesis, 2006.

Research interests

  • Stability analysis of switched and hybrid systems
    Switched and hybrid systems are characterised by a mixture of continuous dynamics and logic-based switching between discrete modes. Examples of such systems are pervasive in engineering practices and can be readily found in the aircraft, automotive, communications industries and many other fields. Despite the recent interest in these systems, their behaviour is poorly understood. Perhaps the most important of these considerations pertains to the stability properties of hybrid and switched systems. I am interested in deriving stability conditions that are easily applicable and provide insight for the design of stable controllers. My recent work has focused on eigenvalue criteria and frequency-domain analysis using common quadratic and common piecewise linear Lyapunov functions. More ...
  • Throughput maximisation for screening processes
    Cyclic scheduling problems appear in many processes in traffic planning and industrial laboratory automation. Typical examples are High-throughput-screening (HTS) plants which are used for the analysis of chemical, biological or pharmaceutical substances. Here several work-steps (such as reaction, incubation, testing etc.) have to be executed for a large number of samples in a specific time scheme while several samples are present in the system at the same time. Each sample may pass the same machine and transportation facility more than once during processing, but no storage is available to deposit the samples between the work-steps. This makes the operation of HTS plants a complex task with respect to scheduling and control. More ...

Travel

I'll note here scheduled conference and research visits. Please contact me, in case your are interested in a meeting on any of these occasions.


  • May - July 2008: research visit at the Hamilton Institute, NUI Maynooth

Publications


Theses

  • PhD Thesis
"Quadratic and Non-Quadratic Stability Criteria for Switched Linear Systems", Hamilton Institute, NUI Maynooth, Ireland, 2005
Supervisor: Prof. Dr. Robert Shorten (Hamilton Institute, National University of Ireland, Maynooth)
Internal Examiner: Dr. Fiacre Ó Caibre (Dept. of Mathematics, National University of Ireland, Maynooth)
External Examiner: Prof. Dr. Ezra Zeheb (Dept. of Electrical Engineering, Technion - Israel Institute of Technology)
overview (viva presentation)
  • Diplomarbeit
"Robuster Mehrgrößenreglerentwurf für ein aktives Federungssystem", TU Berlin, Germany, 2000.
("Robust multi-input multi-output control design for an active suspension system")
Supervisor: Dr.-Ing. Jens Kalkkuhl (DaimlerChrysler AG, Forschung und Technologie, Berlin)
Examiner: Prof. Dr.-Ing. Filbert (TU Berlin)
Co-Examiner: Dr.-Ing. Johannes Reuter (TU Berlin)
download thesis (in German, pdf 1.1Mb)
  • Studienarbeit
"Tracking bewegter Hindernisse zur Anwendung in der mobilen Robotik - adaptive Verfahren für den Extended Kalmann-Filter", TU Berlin, Germany, 1999.
("Tracking of moving obstacles for mobile robots - adaptive methods for the extended Kalman-Filter")
Supervisor: Dipl.-Ing. Johannes Reuter (TU Berlin)
Examiner: Prof. Dr.-Ing. Hartmann (TU Berlin)


Submissions

K. Wulff, F. Wirth, R. Shorten. A control design method for a class of SISO switched linear systems. Unpublishedsubmitted for publication to Automatica.
R. Shorten, M. J. Corless, K. Wulff, S. Klinge, R. Middleton. Quadratic stability and singular SISO switching systems. Unpublishedsubmitted for publication to IEEE Transactions on Automatic Control.




Book Chapters

Robert Shorten, Oliver Mason, Kai Wulff. Switching and Learning in Feedback systems, Convex cones, Lyapunov functions, and the stability of switched linear systems, Springer-Verlag, 2004.



Journal publications

Robert Shorten, Paul Curran, Kai Wulff, Ezra Zeheb. A Note on Spectral Conditions for Positive Realness of Transfer Function Matrices. Unpublishedaccepted by IEEE Transactions on Automatic Control.
Selim Solmaz, Robert Shorten, Kai Wulff, O'Cairbra. A pole placement design methodology for switched discrete time linear systems with applications to automotive roll dynamics control. Automatica, 44 (9):2358-2363, 2008.
Eckart Mayer, Kai Wulff, Christoph Horst, Jörg Raisch. Optimal Scheduling of Cyclic Processes with Pooling-Resources. at, Automatisierungstechnik, 56 (4):181–188, 2008.
R. Shorten, F. Wirth, O. Mason, K. Wulff, C. King. Stability Criteria for Switched and Hybrid Systems. SIAM Review, 49 (4):545–592, 2007.
pre-print
Kai Wulff, Robert Shorten. On maximum sector bounds for absolute stability of single-input single-output systems. International Journal of Control, 80 (6):832–842, 2007.
pre-print
Robert Shorten, Paul Curran, Kai Wulff. On time-domain multiplier criteria for single-input single-output systems. @International Journal of Control, 77 (11):985–991, 2004.
Kai Wulff, Robert Shorten, Paul Curran. On the 45° region and the uniform asymptotic stability of classes of second order parameter varying and switched systems. @International Journal of Control, 75 (11):812-823, 2002.



Conference publications

Robert Shorten, Paul Curran, Kai Wulff, Chris King, Ezra Zeheb. On Spectral Conditions for Positive Realness of Transfer Function Matrices. In American Control Conference 2008, Seattle, USA, 2008.
Ishan Pendharkar, Kai Wulff, Jörg Raisch. On stability of switched differential algebraic systems – conditions and applications. In IFAC World Congress, Seoul, South Korea, 2008.
Ishan Pendharkar, Kai Wulff, Jörg Raisch. On the construction of quadratically stable switched linear systems with multiple component systems. In IEEE Conference on Decision and Control, New Orleans, USA, 2007.
Ishan Pendharkar, Kai Wulff, Jörg Raisch. A behavioral-theoretic approach to quadratic stability of switched linear systems. In 13th IEEE IFAC International Conference on Methods and Models in Automation and Robotics, Szczecin, Poland, 2007.
Kai Wulff, Robert Shorten. On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems (in russian). In Proceedings of IX International Workshop on Stability and Oscillations of Nonlinear Control Systems, Special Issue Avtomatika i telemekhanika, volume 68 pages 1355–1363, August 2007.
Kai Wulff, Fabian Wirth, Robert Shorten. On the stabilisation of a class of switched single-input single-output systems. In IEEE Conference on Decision and Control and European Control Conference, Sevilla, 2005.
Kai Wulff, Robert Shorten. A generalisation of the 45° Criterion for the stability of time-varying systems with non-real eigenvalues. In IEE Irish Signals and Systems Conference, 2005.
Robert Shorten, Paul Curran, Kai Wulff. On time-domain multiplier criteria for single-input single-output systems. In Proceedings of 42nd Conference on Decision and Control, Hawaii, 2003.
Robert Shorten, Oliver Mason, Kai Wulff. On the existence of common quadratic Lyapunov functions for single-input single-output switched systems. In 12th Yale Workshop on Adaptive and Learning Systems, 2003.
Kai Wulff, John Foy, Robert Shorten. Comments on the relation of periodic and absolute stability of switched linear systems. In American Control Conference, pages 3226–3227, Denver, 2003.
Kai Wulff, Robert Shorten, Paul Curran. On the relationship of matrix-pencil eigenvalue criteria and the choice of {L}yapunov function for the analysis of second order switched systems. In American Control Conference, Anchorage, 2002.
session award
Kai Wulff, Paul Curran, Robert Shorten. On the Infinity-Norm and the Asymptotic Stability of a class of Second order Time-Varying Systems. In Proceedings of Irish Signals and Systems Conference, 2001.
best paper award, best presentation award


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