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https://hdl.handle.net/2142/69366
Description
Title
Robustness in Feedback Systems (Frequency Domain)
Author(s)
Ting, Thomas Leo
Issue Date
1987
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Abstract
The research in this dissertation is motivated by the basic question "What can and cannot be accomplished by feedback control?" In particular, this dissertation shall address three basic issues: (a) Determining which types of controllers are optimal for certain classes of control problems, (b) Investigating the absolute limitations of feedback control for multiobjective problems and the performance tradeoffs available between the various objectives, and (c) Developing efficient methods for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty.
With regard to the issues identified above, the principal contributions of this dissertation can be outlined as follows. First, it is shown that for the problem of robustly stabilizing a family of plants featuring dynamic uncertainty, linear time-invariant controllers perform as well as arbitrary nonlinear time-varying controllers. Second, a new controller synthesis procedure called residue iteration is developed for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty. This method is simpler and numerically more attractive than any previously existing technique. Finally, an algorithm is presented which enables one to compute an absolute upper bound on the performance levels attainable in multiobjective H$\sb\infty$-optimization problems.
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