Constrained ℋ mixed-sensitivity optimization for stable infinite-dimensional plants: Application to thermal diffusion process

Oguzhan Cifdaloz, Armando Rodriguez

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

3 Scopus citations

Abstract

This paper shows how ℋ near-optimal finite-dimensional compensators may be designed for stable linear time invariant (LTI) infinite dimensional plants subject to convex constraints. The infinite dimensional plant is approximated by a finite dimensional approximant. The Youla parameterization is used to parameterize the set of all stabilizing LTI controllers and formulate a weighted mixed-sensitivity ℋ optimization that is convex in the Youla Q-Parameter. A finite-dimensional (real-rational) stable basis is used to approximate the Q-parameter. By so doing, we transform the associated infinite dimensional optimization problem from to a finite-dimensional optimization problem involving a search over a finite-dimensional parameter space. In addition to solving weighted mixed sensitivity ℋ control system design problems, subgradient concepts are used to directly accommodate time-domain specifications (e.g. peak value of control action) in the design process. As such, we provide a systematic design methodology for a large class of infinite-dimensional plant control system design problems. In short, the approach taken permits a designer to address control system design problems for which no direct method exists. Convergence results are presented. An illustrative example for a thermal diffusion process is also provided.

Original languageEnglish (US)
Title of host publicationProceedings of the 2006 American Control Conference
Pages1009-1014
Number of pages6
StatePublished - Dec 1 2006
Event2006 American Control Conference - Minneapolis, MN, United States
Duration: Jun 14 2006Jun 16 2006

Publication series

NameProceedings of the American Control Conference
Volume2006
ISSN (Print)0743-1619

Other

Other2006 American Control Conference
CountryUnited States
CityMinneapolis, MN
Period6/14/066/16/06

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Cifdaloz, O., & Rodriguez, A. (2006). Constrained ℋ mixed-sensitivity optimization for stable infinite-dimensional plants: Application to thermal diffusion process. In Proceedings of the 2006 American Control Conference (pp. 1009-1014). [1655491] (Proceedings of the American Control Conference; Vol. 2006).