A simple division method for multivariable system analysis and design

dc.contributor.advisorShieh, Leang-San
dc.contributor.committeeMemberSchneider, William P.
dc.contributor.committeeMemberLee, Kwang Y.
dc.contributor.committeeMemberSinkhorn, Richard D.
dc.creatorChang, Fan-Ren Fred
dc.description.abstractIn the analysis and design of multivariable control systems described by the matrix fraction descriptions (MFDs), it is often required to carry out the division of two polynomial matrices. However, there is a lack of efficient methods for performing this type of division. In this dissertation, a simple division method is developed for solving the Diophantine equations and associated problems, such as the determination of observability(controllability) indices, the irreducible right(left) MFDs from reducible or irreducible left(right) MFDs, and the greatest right(left) common divisor of two polynomial matrices without utilizing the state space realization of the MFDs. Also, the division method is employed to carry out the partial fraction expansion of MFDs with distinct or repeated latent roots. Furthermore, the division method is applied to obtain the irreducible right MFD from the transfer function matrix which may be the multivariable system controller. The design procedures for the realization of this irreducible right MFD without using multiwinding transformers and integrators are then presented. Finally, the division method is utilized to construct the generalized matrix continued-fraction descriptions and to obtain the reduced-degree models from a higher-degree MFD. The newly developed division method greatly reduces the computational efforts of existing methods and provides new view points for the analysis and design of multivariable control systems.
dc.description.departmentElectrical and Computer Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.subjectSystem analysis
dc.titleA simple division method for multivariable system analysis and design
thesis.degree.collegeCullen College of Engineering
thesis.degree.departmentElectrical Engineering, Department of
thesis.degree.disciplineElectrical Engineering
thesis.degree.grantorUniversity of Houston
thesis.degree.nameDoctor of Philosophy


Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
4.41 MB
Adobe Portable Document Format