New Condition for FD, All Filters, and New KYP Lemma | Zendy

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New Condition for FD, All Filters, and New KYP Lemma

Author(s) -

Stefanovski Jovan

Publication year - 2018

Publication title -

asian journal of control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.769

H-Index - 53

eISSN - 1934-6093

pISSN - 1561-8625

DOI - 10.1002/asjc.1605

Subject(s) - lemma (botany) , mathematics , hermitian matrix , generalization , constant (computer programming) , observer (physics) , linear matrix inequality , inertia , control theory (sociology) , mathematical analysis , pure mathematics , computer science , mathematical optimization , physics , ecology , poaceae , control (management) , classical mechanics , quantum mechanics , artificial intelligence , biology , programming language

This paper presents a necessary and sufficient condition for theH − / H ∞fault detection (FD) problem, under a quite general and natural assumption. The condition is actually a constant inertia on the extended imaginary axis (EIA) of a para‐hermitian rational matrix (RM). An observer solution is given. Another two main results are the presentation of all problem solutions, and a necessary and sufficient condition for constant inertia on the EIA or in a given frequency region, for a class of para‐hermitian RMs, in terms of linear matrix inequalities. The latter result can be regarded as a generalization of the Kalman‐Yakubovich‐Popov (KYP) lemma.

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