On the lyapunov-based approach to robustness bounds Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/3484zm05p

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  • The objective of this investigation is the development of improved techniques for the estimation of robustness for dynamic systems with structured uncertainties, a problem which was approached by application of the Lyapunov direct method. This thesis considers the sign properties of the Lyapunov function derivative integrated along finite intervals of time, in place of the traditional method of the sign properties of the derivative itself. This proposed approach relaxes the sufficient conditions of stability, and is used to generate techniques for the robust design of control systems with structured perturbations. The need for such techniques has been demonstrated by recent research interest in the area of robust control design. The system considered is assumed to be nominally linear, with time-variant, nonlinear bounded perturbations. Application of the proposed technique warrants that estimates of robustness will either match or constitute an improvement upon those obtained by application of the traditional Lyapunov approach. The application of numerical procedures are used to demonstrate improvements in estimations of robustness for two-, three- and four-dimensional dynamic systems with one or more structured perturbations. The proposed numerical approaches obtain improved bounds, which are considered in the sense of their engineering aspects. To increase the accuracy of the numerical procedures, symbolic algebraic calculations are utilized.
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  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Submitted by Kirsten Clark (kcscannerosu@gmail.com) on 2013-02-19T18:34:38Z No. of bitstreams: 1 JoJangHyen1991.pdf: 2855962 bytes, checksum: 687d26804c384cf8c5886d93f8870e82 (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-02-26T16:51:08Z (GMT) No. of bitstreams: 1 JoJangHyen1991.pdf: 2855962 bytes, checksum: 687d26804c384cf8c5886d93f8870e82 (MD5)
  • description.provenance : Made available in DSpace on 2013-02-26T16:51:08Z (GMT). No. of bitstreams: 1 JoJangHyen1991.pdf: 2855962 bytes, checksum: 687d26804c384cf8c5886d93f8870e82 (MD5) Previous issue date: 1991-05-02

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