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. / Graduation date: 1991
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/37156 |
| Date | 02 May 1991 |
| Creators | Jo, Jang Hyen |
| Contributors | Olas, Andrzej |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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