Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
Robust Control Based on Dissipativeness of Open-Loop Systems
Ichijyo HODAKAMasayuki SUZUKINoboru SAKAMOTO
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1999 Volume 12 Issue 9 Pages 549-557

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Abstract

This paper proposes a robust control design method by imposing dissipativeness on open-loop systems. First, it is shown that stability of nominal feedback systems is equivalent to dissipativeness of open-loop systems. This result justifies imposing dissipativeness on open-loop systems. Second, a robust stability for some class of complex perturbations guaranteed by dissipativeness of open-loop systems is shown. This explains that our method is effective for ensuring gain and phase margins of feedback systems. Third, it is shown that dissipativeness of open-loop systems is equivalent to bounded realness of certain closed-loop transfer functions. This fact implies that H control which evaluates only gain property possesses the ability to take into consideration both gain and phase properties of open-loop transfer functions, as well as it gives a controller design method based on dissipativeness of open-loop systems.

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