Analysis and use of several generalized H(∞ mixed sensitivity frameworks for stable multivariable plants subject to simultaneous output and input loop breaking specifications

Karan Puttannaiah, Justin A. Echols, Kaustav Mondal, Armando Rodriguez

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

4 Scopus citations

Abstract

In this paper, we present and examine three generalized mixed-sensitivity control design frameworks for linear time invariant (LTI) plants for trading off properties at distinct multivariable loop-breaking points, while being able to handle a broad class of closed loop (e.g. H(∞, H2, frequency- and time domain) specifications. Multiobjective tradeoff paradigms are developed and analysed for ill-conditioned plants having large relative gain array entries - plants that have received considerable attention in the literature without yielding a direct systematic design methodology. We provide insight into the effectiveness of each approach and discuss the trading-off of properties at distinct loop-breaking points. This is done by exploiting the Youla-Jabr-Bongiorno-Kucera-Zames (YJBKZ) parameterization, the resulting convexification, and efficient state-of-the-art convex solvers that can be applied to smooth as well as non-differentiable problems. Moreover, we also show how our approach can be applied to multivariable infinite-dimensional plants. Specifically, by using finite dimensional approximants that converge in the uniform topology, we obtain near-optimal finite dimensional controllers for the infinite dimensional plant. Illustrative examples are provided for a thermal PDE and a retarded time delay system.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6617-6622
Number of pages6
Volume2016-February
ISBN (Print)9781479978861
DOIs
StatePublished - Feb 8 2016
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

Keywords

  • Algorithm design and analysis
  • Control design
  • Convex functions
  • Electrical engineering
  • Optimization
  • Sensitivity
  • Silicon

ASJC Scopus subject areas

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

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    Puttannaiah, K., Echols, J. A., Mondal, K., & Rodriguez, A. (2016). Analysis and use of several generalized H(∞ mixed sensitivity frameworks for stable multivariable plants subject to simultaneous output and input loop breaking specifications. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2016-February, pp. 6617-6622). [7403261] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7403261