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Missouri University of Science and Technology

Masters Theses

Theses/Dissertations

1969

Adaptive control systems -- Design<br />Lyapunov functions

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A Lyapunov Designed Model-Referenced Control System With Signum Function Adaptive Control Laws, James Steven Epstein Jan 1969

A Lyapunov Designed Model-Referenced Control System With Signum Function Adaptive Control Laws, James Steven Epstein

Masters Theses

"An examination of a model-referenced adaptive control system designed to satisfy the requirements of Lyapunov's direct method is made. It is found that each adaptive control loop requires a multiplier for its implementation. A new design is proposed which replaces the multipliers in the control loops by switches, thereby gaining a significant hardware advantage. A first order system designed by the new method is simulated on an analog computer and some refinements are made. The method is then generalized to include nth order systems. The poles of the model, however, are subject to some restrictions. Finally, the problems associated with …