Phd topics -
Computational methods for robust control of large-scale interconnected systems
Promoter: Prof. dr. ir. Wim Michiels |
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More info: https://icts.kuleuven.be/apps/jobsite/vacatures/id/53370660/lang/en
The Department of Computer Science at KU Leuven is the largest of its kind in Flanders. Research at the Numerical Analysis & Applied Mathematics Section of the Department covers a wide variety of topics. The selected candidate will perform his/her research in the team of Wim Michiels that is specialized in computational methods for the analysis, control and optimization of large-scale dynamical systems.
The dynamic behavior of a linear time-invariant system is determined by the solutions of an eigenvalue problem. Dynamical systems are often subject to physical parameters with an important level of uncertainty. Application engineers then want to know how sensitive the system is with respect to these parameters, for example, how much a parameter may change without losing stability or a performance level. This leads us to eigenvalue problems with uncertainty. The question how the performance or robustness of the system can be optimized by a careful choice of design parameters or by active or passive control, leads us to eigenvalue optimization problems.
Recently, significant advances have been obtained on robust control design approaches, which are grounded in eigenvalue optimization, as well as on solving nonlinear eigenvalue problems, which arise in the analysis of classes of large-scale systems. The aim of the PhD project is to shift the state-of-the-art from control of stand-alone systems to large networks of interconnected systems. The goal is to compute simple controllers, which are easy to implement, and possibly decentralized, i.e., where a global objective is reached by local actions. The project will be realized by combining advances in numerical linear algebra, control theory, numerical optimization, and approximation theory.
The methods and algorithms are validated on problems from mechanical and electrical engineering (traffic flow control,communication networks, ...), through ongoing collaborations with application oriented research groups.
Keywords: numerical linear algebra, dynamical systems, control and optimization, uncertainty quantification
An ideal candidate has a master degree in computational / applied mathematics, or engineering, a strong interest in optimization, experience with algorithm development, and enthusiasm for the project. Proficiency in English is a requirement.
Besides a competitive salary and mobility allowance we offer a stimulating research environment, with a lot of attention paid to personal career development, within the Numerical Analysis and Applied Mathematics Section of KU Leuven (https://wms.cs.kuleuven.be/groups/natw), the KU Leuven Optimization in Engineering Center OPTEC (http://set.kuleuven.be/optec/), and the national network DYSCO (http://sites.uclouvain.be/dysco/)
For more information please contact Prof. dr. ir. Wim Michiels, tel.: +32 16 32 70 64, mail: email@example.com.
The vacancy will be closed whenever a qualified candidate has been found. Therefore interested candidates are encouraged to apply as soon pas possible.
You can apply for this job no later than October 15, 2015 via the Click here to apply to this project