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Stability investigation of non-linrst control systems by the second method of liapunov
Yang, Philip Wen-Tse
Yang, Philip Wen-Tse
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1967-01
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Abstract
An introduction to Liapunov's second method as it applies to
autonomous non-linear control system stability with experimental verification
is presented in this thesis. Main theorems and definitions of
Liapunov's method are treated. Lur'e's method, Szego's method, the variable
gradient method and the method of several non-linear elements are
presented to generate suitable Liapunov functions for testing the stability
of an autonomous non-linear control system, and several examples with experimental
verifications are used to illustrate these procedures. The
applications of Liapunov's second method to practical engineering problems
are still applicable to only certain classes of systems due to the difficulties
in generating Liapunov functions. If practical and more generally
applicable engineering methods can be devised for generating Liapunov
functions, the method may become one of the best tools available for the
analysis and design of non-linear systems.
Table of Contents
List of figures -- Abstract -- Introduction -- Review of literature -- The general theory of the second method -- Method of generation liapunov functions for autonomous systems -- Experimental verification -- Conclusions -- Bibliography
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Thesis (M.S.)-- Wichita State University, College of Engineering, Dept. of Electrical Engineering
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Wichita State University
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Wichita State University