Description of the research project
The analysis and control of linear systems with varying parameters, so-called linear parameter-varying (LPV) systems, have become major research areas. LPV systems arise naturally when modeling manufacturing systems (wafer stages, pick-and-place robots, overhead cranes …), chemical processes such as liquid-gas separation, electro-hydraulic systems and active suspension systems, automotive engines, etc. In most of these applications the system dynamics are also inherently infinite-dimensional, characterized by a spatio-temporal distribution of state variables, and subject to uncertainty or variability.
The aim of the project is to develop (numerical) methods, computational tools and software for the analysis and control of linear infinite-dimensional systems with time-varying parameters. These methods should cope with uncertainty on the system model and must be capable of designing optimal controllers with a prescribed order or structure, where optimality refers to robust stability and performance measures. The project also includes the experimental validation of the obtained control design methodologies on a mechatronic test setup.
The PhD positions result from a collaboration between the Scientific Computing Research Group and the Department of Mechanical Engineering of the K.U. Leuven, which both participate in the interdisciplinary Optimization in Engineering Center OPTEC. Both divisions will host one PhD student, whose projects will be oriented towards computational methods and control design, respectively. They will be jointly supervised.
Requirements
The requirements are a strong background in computational mathematics, a strong interest in dynamic systems and control, numerical optimization and programming, the ability to communicate with mathematical optimizers, and enthusiasm for the project. For the PhD student at the Mechanical Engineering Department a strong interest in experimental work is also expected. Proficiency in English is a requirement.
How to apply?
Send your electronic application to Professor Wim Michiels: This e-mail address is being protected from spambots. You need JavaScript enabled to view it , with CC to Professor Jan Swevers: This e-mail address is being protected from spambots. You need JavaScript enabled to view it . Subject of your email should be: "PhD Position LPV". Also indicate in which group you prefer to be hosted. Include a CV, certificates with high school and university marks, Toefl test results (if applicable), a list of publications, names of two possible references, and a brief description of your research interests are most welcome.
What we offer
Besides a competitive salary we offer a stimulating research environment within the Scientific Computing Group (http://twr.cs.kuleuven.be/), the Division PMA (http://www.mech.kuleuven.be/pma/) and the Optimization in Engineering Center OPTEC.
