Title page for ETD etd-04022008-155152

Type of Document Dissertation
Author Liu, Nike
Author's Email Address nliu1@lsu.edu, nickliu79@gmail.com
URN etd-04022008-155152
Title Optimal Robust Fault Detection
Degree Doctor of Philosophy (Ph.D.)
Department Electrical & Computer Engineering
Advisory Committee
Advisor Name Title
Zhou, Kemin Committee Chair
Aravena, Jorge L Committee Member
Gu, Guoxiang Committee Member
Wolenski, Peter Robert Committee Member
Lee, Hwang Dean's Representative
  • robustness
  • fault detection
  • H_ index
  • multi-objective optimization
Date of Defense 2008-03-11
Availability unrestricted
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.
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