On H-infinity Control and Large-Scale Systems

Forskningsoutput: AvhandlingDoktorsavhandling (sammanläggning)

Abstract

In this thesis, a class of linear time-invariant systems is identified for which a particular type of H-infinity optimal control problem can be solved explicitly. It follows that the synthesized controller can be given on a simple explicit form. More specifically, the controller can be written in terms of the matrices of the system’s state-space representation. The result has applications in the control of large-scale systems, as well as for the control of infinite-dimensional systems, with certain properties.

For the large-scale applications considered, the controller is both globally optimal as well as possesses a structure compatible with the information-structure of the system. This decentralized property of the controller is obtained without any structural constraints or regularization techniques being part of the synthesis procedure. Instead, it is a result of its particular form. Examples of applications are electrical networks, temperature dynamics in buildings and water irrigation systems.

In the infinite-dimensional case, the explicitly stated controller solves the infinite-dimensional H-infinity synthesis problem directly without the need of approximation techniques. An important application is diffusion equations. Moreover, the presented results can be used for evaluation and benchmarking of general purpose algorithms for H-infinity control.

The systems considered in this thesis are shown to belong to a larger class of systems for which the H-infinity optimal control problem can be translated into a static problem at a single frequency. In certain cases, the static problem can be solved through a simple least-squares argument. This procedure is what renders the simple and explicit expression of the controller previously described. Moreover, the given approach is in contrast to conventional methods to the problem of H-infinity control, as they are in general performed numerically.

Detaljer

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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Reglerteknik

Nyckelord

Originalspråkengelska
KvalifikationDoktor
Tilldelande institution
Handledare/Biträdande handledare
Tilldelningsdatum2019 jun 5
Förlag
  • Department of Automatic Control, Lund Institute of Technology, Lund University
Tryckta ISBN978-91-7895-095-9
Elektroniska ISBN978-91-7895-096-6
StatusPublished - 2019
PublikationskategoriForskning

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Relaterad forskningsoutput

Carolina Lidström, Richard Pates & Anders Rantzer, 2018 jan, 2017 IEEE 56th Conference on Decision and Control, CDC 2017. IEEE - Institute of Electrical and Electronics Engineers Inc., s. 3525-3530 6 s.

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceeding

Carolina Lidström, Anders Rantzer & Morris, K., 2016 dec 27, 2016 IEEE 55th Conference on Decision and Control, CDC 2016. IEEE: Institute of Electrical and Electronics Engineers Inc., s. 5275-5280 6 s. 7799077

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceeding

Carolina Lidström, 2016 jun 16, Department of Automatic Control, Lund Institute of Technology, Lund University. 66 s.

Forskningsoutput: AvhandlingLicentiatavhandling

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Related projects

Carolina Bergeling, Michelle Chong, Richard Pates, Kaoru Yamamoto & Anders Rantzer

2017/09/012018/12/31

Projekt: Forskning

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