Frequency-Weighted Projective Controls for Large Scale System Design
Tharp, Hal Stanley
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https://hdl.handle.net/2142/69357
Description
Title
Frequency-Weighted Projective Controls for Large Scale System Design
Author(s)
Tharp, Hal Stanley
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
This thesis proposes a controller design methodology for large scale systems based on the integration of novel frequency-dependent weighting techniques with the projective controls approach. It is a two-stage methodology. First, eigenvalue sensitivity expressions are utilized to provide insight into the design of static and/or low-order dynamic compensators for a nominal plant model. The techniques which result from the application of these sensitivity expressions strengthen the projective controls approach as a control design methodology. One of the obtained results, which is of independent interest, provides a method for modifying the linear quadratic performance criterion to achieve arbitrary pole-placement along the real axis. The second design stage incorporates novel output frequency-weighting techniques allowing frequency domain issues, like unmodeled dynamics, to be addressed while parameterizing all such weightings which preserve the eigenvalues from the nominal solution obtained in the first stage of the design. Low-order, frequency-weighting expressions are developed along with the full-order weightings.
Throughout the thesis, the projective controls approach is invoked to relax the assumption of having access to the full state vector. Integrating these parameterized weighting techniques with the projective controls approach allows insight into the trade-off between performance and robustness. The effectiveness of this methodology is illustrated by applying it to a 40th-order flexible space beam model. This application demonstrates the characteristic of the projective controls approach to preserve the structural information of the system as well as the high-frequency, roll-off property associated with the developed strictly proper frequency-weighting technique.
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