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

Oguzhan Cifdaloz; Armando Rodriguez; John Anderies

doi:10.1109/CDC.2008.4739479

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 proceeding › Conference contribution

6 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 language	English (US)
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Pages	865-870
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2008.4739479
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008

Publication series

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

Other

Other	47th IEEE Conference on Decision and Control, CDC 2008
Country	Mexico
City	Cancun
Period	12/9/08 → 12/11/08

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2008.4739479

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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

Control of distributed parameter systems subject to convex constraints : Applications to irrigation systems and hypersonic vehicles. / Cifdaloz, Oguzhan; Rodriguez, Armando ; Anderies, John.

Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. 2008. p. 865-870 4739479 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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., 4739479, Proceedings of the IEEE Conference on Decision and Control, pp. 865-870, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 12/9/08. https://doi.org/10.1109/CDC.2008.4739479

Cifdaloz O, Rodriguez A , Anderies J. 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. 2008. p. 865-870. 4739479. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2008.4739479

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