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Project

Analysis and computational control of large-scale systems and networks with delays

Dynamical systems from physics, engineering and the life-sciences are almost exclusively infinite-dimensional, due to a spatio-temporal distribution of state variables. Examples include systems described by partial differential equations and delay differential equations. An important open problem is the lack of tools for the synthesis of controllers in the in practice relevant case where the structure of the controller is fixedor restricted. Therefore the aim of the project is to develop an environment and generic algorithms for analysis and controller design for time-delay systems. The objectives are: i. developing efficient algorithms for controller synthesis problems (stabilization, optimization of robustness and performance, partial pole placement) within the framework of eigenvalue optimization; ii. developing an environment and a software package for the analysis and synthesis of controllers. Here an interconnection point of view will be taken, where systems, controllers and interconnections can be defined in a natural way. Mathematically the interconnection point of view is reflected in mathematical models described by (mixed) differential algebraic equations; iii. to apply the develop tools to problems from mechanical engineering, in particular micro-climate controland vibration control. The methodology relies on a cross-fertilization of tools from numerical linear algebra, numerical simulation, optimization and control theory.
Datum:8 sep 2009 →  8 sep 2013
Trefwoorden:Large-scale systems
Project type:PhD project