A generalized hamilt<inf>∞</inf> control design framework for stable multivariable plants subject to simultaneous output and input loop breaking specifications

Karan Puttannaiah, Justin A. Echols, Armando Rodriguez

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

2 Scopus citations

Abstract

In this paper, we present a generalized mixed-sensitivity multivariable framework for linear time invariant (LTI) plants that can handle a broad class of closed loop (e.g. hamilt<inf>∞</inf>, hamilt<sup>2</sup>, frequency- and time domain) objectives while being able to directly and systematically address the problem of trading off properties at distinct loop breaking points. This is done by exploiting the Youla-Jabr-Bongiorno-Kucera-Zames (YJBKZ) parameterization, the resulting convexification, and efficient convex solvers that can be applied to smooth as well as non-differentiable problems. Our approach is shown to be particularly useful for ill-conditioned plant having large relative gain array entries - plants that have received considerable attention in the literature without yielding a direct systematic design methodology. Moreover, we also show how our approach can be applied to multivariable infinite-dimensional plants. We specifically show that by suitably approximating the infinite-dimensional plant with a finite-dimensional approximant, a near-optimal finite-dimensional controller can be designed for the infinite-dimensional plant. Illustrative examples are provided.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3310-3315
Number of pages6
Volume2015-July
ISBN (Print)9781479986842
DOIs
Publication statusPublished - Jul 28 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Other

Other2015 American Control Conference, ACC 2015
CountryUnited States
CityChicago
Period7/1/157/3/15

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Puttannaiah, K., Echols, J. A., & Rodriguez, A. (2015). A generalized hamilt<inf>∞</inf> control design framework for stable multivariable plants subject to simultaneous output and input loop breaking specifications. In Proceedings of the American Control Conference (Vol. 2015-July, pp. 3310-3315). [7171843] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2015.7171843