2012

Christian Hoffmann, Christian Radisch, and Herbert Werner,
Active Damping of Container Crane Load Swing by Hoisting Modulation - An LPV Approach, in Proc. 51st IEEE Conf. Decision Control , 2012. pp. 5140--5145.
Bibtex: BibTeX
@inproceedings{HoRaWe12,
 author = {Hoffmann, Christian and Radisch, Christian and Werner, Herbert},
 abstract = {51st IEEE Conference on Decision and Control , December 10-13, 2012, Maui, Hawaii, USA},
 title = {{Active Damping of Container Crane Load Swing by Hoisting Modulation - An LPV Approach}},
 pages = {5140--5145},
 year = {2012},
 booktitle = {Proc. 51st IEEE Conf. Decision Control}
}


2011

Christian Hoffmann,
Design and Control of a Novel Portable Mechanical Ventilator, {Master's Thesis}, Hamburg University of Technology, Hamburg, Germany, 2011.
File: Ho11.pdf
Bibtex: BibTeX
@phdthesis{Ho11,
 author = {Hoffmann, Christian},
 abstract = {},
 year = {2011},
 title = {{Design and Control of a Novel Portable Mechanical Ventilator}},
 publisher = {{Master's Thesis at the Institute of Control Systems, Hamburg University of Technology}},
 address = {Hamburg, Germany},
 school = {{Hamburg University of Technology}},
 type = {{Master's Thesis}}
}


Hossam Seddik Abbas, and Herbert Werner,
Frequency Weighted Discrete-Time LPV Model Reduction Using Structurally Balanced Truncation, IEEE Trans. Contr. Syst. Technol. , vol. 19, no. 1, pp. 140--147, 2011.
Bibtex: BibTeX
@article{AbWe11,
 author = {Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {},
 year = {2011},
 title = {{Frequency Weighted Discrete-Time LPV Model Reduction Using Structurally Balanced Truncation}},
 pages = {140--147},
 volume = {19},
 number = {1},
 journal = {IEEE Trans. Contr. Syst. Technol.}
}


Philipp Rostalski, Ioannis A. Fotiou, Daniel J. Bates, A. Giovanni Beccuti, and Manfred Morari,
Numerical Algebraic Geometry for Optimal Control Applications, SIAM J. Optim. , vol. 21, no. 2, pp. 417--437, 2011.
Bibtex: BibTeX
@article{RoFoBaBe11,
 author = {Rostalski, Philipp and Fotiou, Ioannis A. and Bates, Daniel J. and Beccuti, A. Giovanni and Morari, Manfred},
 abstract = {},
 year = {2011},
 title = {{Numerical Algebraic Geometry for Optimal Control Applications}},
 pages = {417--437},
 volume = {21},
 number = {2},
 journal = {SIAM J. Optim.}
}


2010

David Adjiashvili, Michel Baes, and Philipp Rostalski,
Removing redundant quadratic constraints, in Proc. 3rd Int. Congr. Conf. Math. Soft , 2010. pp. 270--281.
Bibtex: BibTeX
@inproceedings{AdBaRo10,
 author = {Adjiashvili, David and Baes, Michel and Rostalski, Philipp},
 abstract = {},
 title = {{Removing redundant quadratic constraints}},
 pages = {270--281},
 year = {2010},
 booktitle = {Proc. 3rd Int. Congr. Conf. Math. Soft}
}


Hossam Seddik Abbas,
Linear Parameter-Varying Modeling, Identification and Low-Complexity Controller Synthesis: Ph.D. Thesis, Hamburg University of Technology, Germany, 2010.
Bibtex: BibTeX
@phdthesis{Ab10,
 author = {Abbas, Hossam Seddik},
 abstract = {Der Entwurf von Reglern f{\"u}r komplexe nichtlineare Regelstrecken im Framework Linear Parameterver{\"a}nderlicher (LPV) Systeme f{\"u}hrt zu hohem Modellierungs-, Synthese- und Implementierungsaufwand. Zugleich k{\"o}nnen Regelstrecken durch eine verteilte Struktur {\"a}hnlicher interagierender LPV-Subsysteme eine hohe Komplexit{\"a}t erlangen. Die vorliegende Arbeit behandelt Methoden zur Modellierung komplexer LPV-Systeme, sowohl im Sinne nichtlinearer, als auch verteilter Regelstrecken, und beinhaltet verbesserte Entwurfswerkzeuge, die zu niedrigerem Synthese- und Implementierungsaufwand f{\"u}hren.

The controller design for complex nonlinear systems using the framework of linear parameter-varying (LPV) systems often leads to high costs in modeling, synthesis and implementation. Interconnected LPV subsystems also yield complex systems. This thesis presents methods for the modeling of complex LPV systems, in the sense of nonlinear as well as interconnected subsystems and introduces improved controller synthesis tools that lead to reduced synthesis and implementation costs.},
 year = {2010},
 title = {{Linear Parameter-Varying Modeling, Identification and Low-Complexity Controller Synthesis: Ph.D. Thesis}},
 address = {Germany},
 publisher = {Institute of Control Systems},
 school = {{Hamburg University of Technology}}
}


Philipp Rostalski, and Bernd Sturmfels,
Dualities in Convex Algebraic Geometry, Rendiconti di Matematica , vol. 30, 2010.
Bibtex: BibTeX
@article{RoSt10,
 author = {Rostalski, Philipp and Sturmfels, Bernd},
 abstract = {},
 year = {2010},
 title = {{Dualities in Convex Algebraic Geometry}},
 volume = {30},
 journal = {Rendiconti di Matematica}
}


2009

Philipp Rostalski,
Algebraic moments: Real root finding and related topics, Ph.D. Thesis, ETH Zurich, Zürich, 2009.
Bibtex: BibTeX
@phdthesis{Ro09,
 author = {Rostalski, Philipp},
 abstract = {},
 year = {2009},
 title = {{Algebraic moments: Real root finding and related topics}},
 address = {Z{\"u}rich},
 school = {{ETH Zurich}},
 type = {{Ph.D. Thesis}}
}


Christian Hoffmann,
Development of a Control System for the Shanghai Subway Flood Gate System, {Project Work}, Hamburg University of Technology and Tongji University Shanghai, Hamburg, Germany and Shanghai, China, 2009.
File: Ho09.pdf
Bibtex: BibTeX
@phdthesis{Ho09,
 author = {Hoffmann, Christian},
 abstract = {},
 year = {2009},
 title = {{Development of a Control System for the Shanghai Subway Flood Gate System}},
 publisher = {{Bachelor Thesis at the Department of Mechanical Engineering, Tongji University, Shanghai}},
 address = {Hamburg, Germany and Shanghai, China},
 school = {{Hamburg University of Technology and Tongji University Shanghai}},
 type = {{Project Work}}
}


Jean-Bernard Lasserre, Monique Laurent, and Philipp Rostalski,
A prolongation - projection algorithm for computing the finite real variety of an ideal, Theoretical Comput. Sci. , vol. 410, no. 27-29, pp. 2685--2700, 2009.
Bibtex: BibTeX
@article{LaLaRo09,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 year = {2009},
 title = {{A prolongation--projection algorithm for computing the finite real variety of an ideal}},
 pages = {2685--2700},
 volume = {410},
 number = {27-29},
 journal = {Theoretical Comput. Sci.}
}


2008

Christian Hoffmann,
Modelling and Control of a Cooling System for Power Electronics on a Commercial Aircraft, {Bachelor Thesis}, Hamburg University of Technology, Hamburg, Germany, 2008.
File: Ho08.pdf
Bibtex: BibTeX
@phdthesis{Ho08,
 author = {Hoffmann, Christian},
 abstract = {},
 year = {2008},
 title = {{Modelling and Control of a Cooling System for Power Electronics on a Commercial Aircraft}},
 publisher = {{Bachelor Thesis at the Institute of Thermo- and Fluiddynamics, Hamburg University of Technology}},
 address = {Hamburg, Germany},
 school = {{Hamburg University of Technology}},
 type = {{Bachelor Thesis}}
}


Jean-Bernard Lasserre, Monique Laurent, and Philipp Rostalski,
Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals, Found. Comput. Math. , vol. 8, no. 5, pp. 607--647, 2008.
Bibtex: BibTeX
@article{LaLaRo08,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 year = {2008},
 title = {{Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals}},
 pages = {607--647},
 volume = {8},
 number = {5},
 journal = {Found. Comput. Math.}
}


Jean Lasserre, Monique Laurent, and Philipp Rostalski,
Computing the real variety of an ideal: a real algebraic and symbolic-numeric algorithm, in Proceedings of the 2008 {ACM} symposium on Applied computing - {SAC} '08 , New York, New York, USA: ACM Press, 2008.
Bibtex: BibTeX
@INPROCEEDINGS{Lasserre2008-fe,
  title           = "Computing the real variety of an ideal: a real algebraic and symbolic-numeric algorithm",
  booktitle       = "Proceedings of the 2008 {ACM} symposium on Applied
                     computing - {SAC} '08",
  author          = "Lasserre, Jean and Laurent, Monique and Rostalski, Philipp",
  publisher       = "ACM Press",
  year            =  2008,
  address         = "New York, New York, USA",
  conference      = "the 2008 ACM symposium",
  location        = "Fortaleza, Ceara, Brazil"
}
C. Setz, A. Heinrich, Philipp Rostalski, G. Papafotiou, and Manfred Morari,
Application of Model Predictive Control to a Cascade of River Power Plants, in Proc. 17th IFAC World Congr. , 2008. pp. 11978--11983.
Bibtex: BibTeX
@inproceedings{SeHeRoPa08,
 author = {Setz, C. and Heinrich, A. and Rostalski, Philipp and Papafotiou, G. and Morari, Manfred},
 abstract = {},
 title = {{Application of Model Predictive Control to a Cascade of River Power Plants}},
 pages = {11978--11983},
 year = {2008},
 booktitle = {Proc. 17th IFAC World Congr.}
}


Jean-Bernard Lasserre, Monique Laurent, and Philipp Rostalski,
A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals, in {Emerging applications of algebraic geometry} , Putinar, Mihai and Sullivant, Seth, Eds. Springer, 2008, pp. 125--155.
ISBN:978-0-387-09685-8
Bibtex: BibTeX
@incollection{LaLaRo08b,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 title = {{A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals}},
 pages = {125--155},
 volume = {149},
 publisher = {Springer},
 isbn = {978-0-387-09685-8},
 series = {The IMA volumes in mathematics and its applications},
 editor = {Putinar, Mihai and Sullivant, Seth},
 booktitle = {{Emerging applications of algebraic geometry}},
 year = {2008}
}


2007

Philipp Rostalski, T. Besselmann, M. Bari{\'c}, F. {van Belzen}, and Manfred Morari,
A hybrid approach to modelling, control and state estimation of mechanical systems with backlash, Int. J. Contr. , vol. 80, no. 11, pp. 1729--1740, 2007.
Bibtex: BibTeX
@article{RoBeBava07,
 author = {Rostalski, Philipp and Besselmann, T. and Bari{\'c}, M. and {van Belzen}, F. and Morari, Manfred},
 abstract = {},
 year = {2007},
 title = {{A hybrid approach to modelling, control and state estimation of mechanical systems with backlash}},
 pages = {1729--1740},
 volume = {80},
 number = {11},
 journal = {Int. J. Contr.}
}


Daniel J. Bates, Ioannis A. Fotiou, and Philipp Rostalski,
A numerical algebraic geometry approach to nonlinear constrained optimal control, in Proc. 46th IEEE Conf. Decision Control , 2007. pp. 6256--6261.
Bibtex: BibTeX
@inproceedings{BaFoRo07,
 author = {Bates, Daniel J. and Fotiou, Ioannis A. and Rostalski, Philipp},
 abstract = {A new method for nonlinear constrained optimal control based on numerical algebraic geometry is presented. First, the optimal control problem is formulated as a parametric optimization program. Then, certain structural information related to the optimization problem is computed off-line. Afterwards, given this information, numerical algebraic geometry techniques are used to efficiently obtain the optimal control input (i.e. optimal solution) of the original control problem in real time. By using homotopy continuation over the field of complex numbers, this approach has a probability-one guarantee of finding the {\textless}i{\textgreater}global{\textless}/i{\textgreater} optimal solution to the problem at hand.},
 title = {{A numerical algebraic geometry approach to nonlinear constrained optimal control}},
 pages = {6256--6261},
 year = {2007},
 booktitle = {Proc. 46th IEEE Conf. Decision Control}
}


T. Besselmann, Philipp Rostalski, and Manfred Morari,
Hybrid Parameter-Varying Model Predictive Control for lateral vehicle stabilization, in Proc. Europ. Control Conf , 2007. pp. 1068--1075.
Bibtex: BibTeX
@inproceedings{BeRoMo07,
 author = {Besselmann, T. and Rostalski, Philipp and Morari, Manfred},
 abstract = {In this paper the concept of Hybrid Parameter-Varying Model Predictive Control (HPV-MPC) is applied for lateral vehicle stabilization. Parameter-varying in the MPC context means that a prediction model with non-constant, parameter-varying system matrices is employed. In the investigated scenario, the displacement of a car on an icy road under a side wind gust shall be mitigated. In order to explore a possible reduction of online computations and the inherent degradation of control performance, the nonlinear model of the lateral dynamics is approximated in various ways. A comparison between controllers using prediction models varying from the full nonlinear model, as an indication for the maximal achievable performance, to a linear model has been performed. Particular emphasis was put on the hybrid parameter-varying prediction model, to investigate their potential in terms of computational effort and control performance.},
 title = {{Hybrid Parameter-Varying Model Predictive Control for lateral vehicle stabilization}},
 pages = {1068--1075},
 year = {2007},
 booktitle = {Proc. Europ. Control Conf}
}


2006

Ioannis A. Fotiou, Philipp Rostalski, Bernd Sturmfels, and Manfred Morari,
An algebraic geometry approach to nonlinear parametric optimization in control, in Proc. Amer. Control Conf , 2006. pp. 6 pp.
Bibtex: BibTeX
@inproceedings{FoRoStMo06,
 author = {Fotiou, Ioannis A. and Rostalski, Philipp and Sturmfels, Bernd and Morari, Manfred},
 abstract = {We present a method for nonlinear parametric optimization based on algebraic geometry. The problem to be studied, which arises in optimal control, is to minimize a polynomial function with parameters subject to semialgebraic constraints. The method uses Grobner bases computation in conjunction with the eigenvalue method for solving systems of polynomial equations. In this way, certain companion matrices are constructed off-line. Then, given the parameter value, an on-line algorithm is used to efficiently obtain the optimizer of the original optimization problem in real time},
 title = {{An algebraic geometry approach to nonlinear parametric optimization in control}},
 pages = {6 pp},
 year = {2006},
 booktitle = {Proc. Amer. Control Conf}
}


Ioannis A. Fotiou, Philipp Rostalski, Pablo A. Parrilo, and Manfred Morari,
Parametric optimization and optimal control using algebraic geometry methods, Int. J. Contr. , vol. 79, no. 11, pp. 1340--1358, 2006.
Bibtex: BibTeX
@article{FoRoPaMo06,
 author = {Fotiou, Ioannis A. and Rostalski, Philipp and Parrilo, Pablo A. and Morari, Manfred},
 abstract = {},
 year = {2006},
 title = {{Parametric optimization and optimal control using algebraic geometry methods}},
 pages = {1340--1358},
 volume = {79},
 number = {11},
 journal = {Int. J. Contr.}
}


Gerwald Lichtenberg, and Philipp Rostalski,
Using Path Integral Short Time Propagators for Numerical Analysis of Stochastic Hybrid Systems, in Proc. 2nd IFAC Conf. on Analysis and Des. Hybrid Syst. , 2006. pp. 179--184.
Bibtex: BibTeX
@inproceedings{LiRo06,
 author = {Lichtenberg, Gerwald and Rostalski, Philipp},
 abstract = {Algorithms to approximate the evolution of probability density functions for stochastic hybrid systems rely on the knowledge of appropriate short time propagators. It is shown that a path integral propagator known for continuous stochastic systems can be adopted to the hybrid case. With this propagator, the HybPathTree algorithm performs well concerning precision and computational effort, e.g. in reachability analysis.},
 title = {{Using Path Integral Short Time Propagators for Numerical Analysis of Stochastic Hybrid Systems}},
 pages = {179--184},
 year = {2006},
 booktitle = {Proc. 2nd IFAC Conf. on Analysis and Des. Hybrid Syst.}
}


2004

Philipp Rostalski,
Erreichbarkeitsanalyse stochastischer hybrider Systeme mittels Pfadintegralen, Diploma Thesis, 2004.
Bibtex: BibTeX
@phdthesis{Ro04,
 author = {Rostalski, Philipp},
 abstract = {},
 year = {2004},
 title = {{Erreichbarkeitsanalyse stochastischer hybrider Systeme mittels Pfadintegralen}},
 type = {{Diploma Thesis}}
}


2003

Philipp Rostalski,
Modellgestützte Volumenstromregelung eines Magnetproportionalventils, Project Work, 2003.
Bibtex: BibTeX
@phdthesis{Ro03,
 author = {Rostalski, Philipp},
 abstract = {},
 year = {2003},
 title = {{Modellgest{\"u}tzte Volumenstromregelung eines Magnetproportionalventils}},
 type = {{Project Work}}
}