The Best Achievable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>ℋ</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math> Tracking Performances for SIMO Feedback Control Systems

Hara, Shinji; Bakhtiar, Toni; Kanno, Masaaki

doi:https://doi.org/10.1155/2007/93904

Journal of Control Science and Engineering

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Research Article | Open Access

Volume 2007 | Article ID 093904 | https://doi.org/10.1155/2007/93904

The Best Achievable ℋ2 Tracking Performances for SIMO Feedback Control Systems

Shinji Hara,¹Toni Bakhtiar,¹and Masaaki Kanno²

Academic Editor: Sigurd Skogestad

Received20 Aug 2006

Revised10 Jan 2007

Accepted12 Apr 2007

Published31 May 2007

Abstract

This paper is concerned with the inherent ℋ2 tracking performance limitation of single-input and multiple-output (SIMO) linear time-invariant (LTI) feedback control systems. The performance is measured by the tracking error between a step reference input and the plant output with additional penalty on control input. We employ the plant augmentation strategy, which enables us to derive analytical closed-form expressions of the best achievable performance not only for discrete-time system, but also for continuous-time system by exploiting the delta domain version of the expressions.

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Copyright

Copyright © 2007 Shinji Hara et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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