Control of distributed parameter systems subject to convex constraints: Applications to irrigation systems and Hypersonic Vehicles

This paper addresses designing finite dimensional linear time invariant (LTI) controllers for infinite dimensional LTI plants subject to H ¿ mixed-sensitivity performance objectives and convex constraints. Specifically, we focus on designing control systems for two classes of systems which are gener...

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Bibliographic Details
Published in2008 47th IEEE Conference on Decision and Control pp. 865 - 870
Main Authors Cifdaloz, O., Rodriguez, A.A., Anderies, J.M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2008
Subjects
Aerodynamics
Control design
Control systems
Distributed control
Distributed parameter systems
Irrigation
Nonlinear equations
Propulsion
Vehicle dynamics
Weight control
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Summary:This paper addresses designing finite dimensional linear time invariant (LTI) controllers for infinite dimensional LTI plants subject to H ¿ mixed-sensitivity performance objectives and convex constraints. Specifically, we focus on designing control systems for two classes of systems which are generally described by hyperbolic partial differential equations: (1) irrigation systems and (2) hypersonic vehicles with flexible dynamics. The distributed parameter plant is first approximated by a finite dimensional approximant. The Youla parameterization is then used to parameterize the set of all stabilizing LTI controllers and a weighted mixed-sensitivity H ¿ optimization is formulated. After transforming the infinite dimensional problem to a finite-dimensional optimization problem, convex is optimization is used to obtain the solution. Subgradient concepts are used to directly accommodate time domain specifications. Illustrative examples for irrigation systems and hypersonic vehicles are provided.
ISBN:9781424431236
1424431239
ISSN:0191-2216
DOI:10.1109/CDC.2008.4739479