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On the Minimization of Maximum Transient Energy Growth.

By James F. Whidborne and John McKernan

Abstract

The problem of minimizing the maximum transient energy growth is considered. This problem has importance in some fluid flow control problems and other classes of nonlinear systems. Conditions for the existence of static controllers that ensure strict dissipativity of the transient energy are established and an explicit parametrization of all such controllers is provided. It also is shown that by means of a Q-parametrization, the problem of minimizing the maximum transient energy growth can be posed as a convex optimization problem that can be solved by means of a Ritz approximation of the free parameter. By considering the transient energy growth at an appropriate sequence of discrete time points, the minimal maximum transient energy growth problem can be posed as a semidefinite program. The theoretical developments are demonstrated on a numerical example

Topics: Fluid flow control, linear matrix inequalities, linear systems, optimization, transient response
Publisher: IEEE Institute of Electrical and Electronics
Year: 2007
DOI identifier: 10.1109/TAC.2007.900854
OAI identifier: oai:dspace.lib.cranfield.ac.uk:1826/1954
Provided by: Cranfield CERES
Journal:

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