Identifier

etd-04022008-155152

Degree

Doctor of Philosophy (PhD)

Department

Electrical and Computer Engineering

Document Type

Dissertation

Abstract

This dissertation gives complete, analytic, and optimal solutions to several robust fault detection problems for both continuous and discrete linear systems that have been considered in the research community in the last twenty years. It is shown that several well-recognized robust fault detection problems, such as H_minus\H_2, H_2\ H_infinity and H_infinity\H_infinity problems, have a very simple optimal solution in an observer form by solving a standard algebraic Riccati equation. The optimal solutions to some other robust fault detection problems, such as H_minus\H_2 and H_2\H_2 problems are also given. In addition, it is shown that some well-studied and seeming sensible optimization criteria for fault detection filter design could lead to (optimal but) useless fault detection filter designs.

Date

2008

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Committee Chair

Zhou, Kemin

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