Reliable controller designs have been developed in this thesis for a number of finite-horizon and infinite-horizon problems with possibly non-zero initial conditions. These reliable controllers assure that system stability and system performance will be maintained despite certain system faults. The performance measure used in this thesis is an "H[subscript ���]-like norm", which is an induced two-norm from all exogenous signals and initial conditions to the regulated output and final states. Controller designs and existence conditions are presented for a reliable controller for faults in any pre-selected subset of actuators or sensors. Also, controller designs and an existence condition are presented for a reliable controller for any single sensor or actuator fault using sensor and actuator redundancy. / Graduation date: 1999

Increasing densities on magnetic data storage devices leads to problems of severe intersymbol interference (ISI), additive noise and non-linearities. Advanced detection strategies for magnetic recording channels fall into two categories: partial response equalization with maximum likelihood decoding and decision feedback equalization. This study focuses on doing an adaptive all-pass forward filter for the decision feedback channel. The decision feedback channel can be equalized by a low-order continuous-time filter, and does not require a transversal filter with high-precision multiplication. This results in considerable savings in both power consumption and chip die area. One problem that has yet to be addressed is how to adaptively set the coefficients of the all-pass filter. This thesis examines the design and performance of an adaptive all-pass filter. The performances in terms of the mean-squared error (MSE) of a first- and second-order all-pass are evaluated. They are compared to a conventional FIR filter design of various lengths. An adaptive algorithm based on the least mean-squared (LMS) error is developed and characterized over a range of storage densities. Since this does not require sampling of the filter input or any states of the forward filter, the system could be realized in continuous-time up to the decision device. Numerical simulations for various data densities and noise variances are done to verify the theoretically expected performance and the adaptation behavior of the all-pass. / Graduation date: 1997

Thesis (Ph. D.)--University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 174-179). Available also in a digital version from Dissertation Abstracts.

Thesis (Ph. D.)--University of Washington, 2003. / Vita. Includes bibliographical references (p. 198-207).

Thesis (M. Sc.)--University of Hong Kong, 1967. / Mimeographed.

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