Control of distributed parameter systems subject to convex constraints: Applications to irrigation systems and hypersonic vehicles

Oguzhan Cifdaloz, Armando Rodriguez, John Anderies

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

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 timedomain specifications. Illustrative examples for irrigation systems and hypersonic vehicles are provided.

Original languageEnglish (US)
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Pages865-870
Number of pages6
DOIs
StatePublished - Dec 1 2008
Event47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
Duration: Dec 9 2008Dec 11 2008

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other47th IEEE Conference on Decision and Control, CDC 2008
CountryMexico
CityCancun
Period12/9/0812/11/08

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Cifdaloz, O., Rodriguez, A., & Anderies, J. (2008). Control of distributed parameter systems subject to convex constraints: Applications to irrigation systems and hypersonic vehicles. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 865-870). [4739479] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2008.4739479