The objective of this dissertation is to develop a practical methodology for designing full and reduced order H[infinity] filter for plants with polytopic model uncertainty. Because the polytopic model description is convex, it is amenable to a Linear Matrix Inequality (LMI) formulation. Reduced order filters are desirable in applications where fast data processing is necessary. To improve robustness to model uncertainties, this dissertation reformulates an H2 filter design technique as a reduced order H[infinity] filter design methodology. Lyapunov functions are replaced with parameter-dependent Lyapunov functions to provide less conservative results. As the problem is formulated as an LMI, an admissible filter with suitable dynamic behavior can be obtained from the solution of a convex optimization problem. The advantages of this approach over earlier approaches are highlighted in a simple computational example. This filtering technique is used to design a fault detection filter. Robust fault detection filter (RFDF) design is formulated as a multi-objective H[infinity] optimization for a polytopic uncertain system. The order of the RFDF is reduced using LMI techniques and the detection performance is compared with the full order filter. An adaptive threshold is used to reduce the number of false alarms. Examples are presented to illustrate effectiveness of the order reduction. / Thesis (Ph.D.)--Wichita State University, Dept. of Electrical and Computer Engineering. / Includes bibliographic references (leaves 70-76). / "May 2006."

Thesis (M.S. in Aeronautical Engineering)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Collins, Daniel J. Second Reader: Schmidt, Louis V. "September 1990." Description based on title screen as viewed on December 29, 2009. DTIC Identifier(s): Flight control systems, control theory, computer files, theses, input output processing, F-18 aircraft. Author(s) subject terms: Modern control theory, H infinity control theory, H2 control theory, multivariable robustness, F-18 control design or synthesis, super augmented aircraft. Includes bibliographical references (p. 110). Also available in print.

Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2003. / On t.p. "[infinity]" appears as the infinity symbol. Includes bibliographical references (leaves 88-92). Also available in electronic version. Access restricted to campus users.

Includes bibliographical references (p. 121-124).

published_or_final_version / Electrical and Electronic Engineering / Doctoral / Doctor of Philosophy

Thesis (Ph. D.)--Ohio State University, 2003. / Title from first page of PDF file. Document formatted into pages; contains xiii, 110 p.; also includes graphics (some col.) Includes bibliographical references (p. 104-110). Available online via OhioLINK's ETD Center

Thesis (Ph. D.)--Ohio State University, 2004. / Title from first page of PDF file. Document formatted into pages; contains xiii, 96 p.; also includes graphics Includes bibliographical references (p. 92-96). Available online via OhioLINK's ETD Center

Thesis (Ph.D.)--University of Central Florida, 2009. / Adviser: Chengying Xu. Includes bibliographical references (p. 118-126).

Thesis (Ph. D.)--University of Hong Kong, 1997. / Includes bibliographical references (leaf 131-138).

Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2005. / On t.p. "2" is lower case and "[infinity]" appears as the infinity symbol. Includes bibliographical references (leaves 110-116). Also available in electronic version.