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Control under structural constraints: An input-output approach

  • Part II Robust Control
  • Conference paper
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Robustness in identification and control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 245))

Abstract

In this paper we present an input-output point of view of certain optimal control problems with constraints on the processing of the measurement data. In particular, considering linear controllers and plant dynamics, we present solutions to the ℓ1, H ∞ and H 2 optimal control problems under the so-called one-step delay observation sharing pattern. Extensions to other decentralized structures are also possible under certain conditions on the plant. The main message from this unified input-output approach is that, structural constraints on the controller appear as linear constraints of the same type on the Youla parameter that parametrizes all controllers, as long as the part of the plant that relates controls to measurements possesses the same off-diagonal structure required in the controller. Under this condition, ℓ1, H ∞ and H 2 optimization transform to nonstandard, yet convex problems. Their solution can be obtained by suitably utilizing the Duality, Nehari and Projection theorems respectively.

This work is supported by ONR grant N00014-95-1-0948/N00014-97-1-0153 and National Science Foundation Grant ECS-9308481

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Authors and Affiliations

  1. Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, USA

    Petros G. Voulgaris

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  1. Petros G. Voulgaris
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Editor information

A. Garulli (Assistant Professor)A. Tesi (Assistant Professor)

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© 1999 Springer-Verlag London Limited

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Voulgaris, P.G. (1999). Control under structural constraints: An input-output approach. In: Garulli, A., Tesi, A. (eds) Robustness in identification and control. Lecture Notes in Control and Information Sciences, vol 245. Springer, London. https://doi.org/10.1007/BFb0109875

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  • DOI: https://doi.org/10.1007/BFb0109875

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-179-5

  • Online ISBN: 978-1-84628-538-7

  • eBook Packages: Springer Book Archive

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