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Content archived on 2024-05-29

Robust control of infinite dimensional systems

Objective

Infinite dimensional system models appear in the feedback control of physical processes that have spatially distributed dynamics, and/or contain time delays. We develop new robust control techniques for such systems, and apply our methods to solve certain specific problems in computer networks and in aerodynamic flow control. Fast and reliable data transport is an essential goal in communication networks. One of the difficulties in this area is the fundamental performance limitation characterized by the pro duct of the return trip time (delay) and the data flow rate (bandwidth). This means that in order to move to higher speeds in data transfer we need to pay attention to time delay. If possible we need to reduce the delay, and the delay jitter.

A fluid approximation of data flow in computer networks results in an infinite dimensional continuous time system. We investigate new robust controllers for this type of systems, in particular, for the case when the time delay is uncertain and time varying, and the available capacity of a congested link varies with uncertain cross-traffic. Fluid flow control is another application area involving infinite dimensional mathematical models. In this case we are dealing with spatially distributed systems, where the underlying dynamical behaviour is characterized by the Navier-Stokes equations. These equations are known to be very difficult to solve in real-time to do any type of model-based control. Therefore, typical approach is to obtain a reduced order model through simulations, and experiments. In aerodynamic flow control community Proper Orthogonal Decomposition (POD) is gaining popularity as a model reduction technique. The reduced order models obtained from POD are non-linear. We investigate new controller designs for POD-based models of aerodynamic flow processes.

Topic(s)

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Call for proposal

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FP6-2002-MOBILITY-12
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Funding Scheme

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IRG - Marie Curie actions-International re-integration grants

Coordinator

BILKENT UNIVERSITY
EU contribution
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Total cost

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