By Randy A. Freeman
This e-book provides advances within the idea and layout of strong nonlinear keep watch over platforms. within the first a part of the booklet, the authors supply a unified framework for state-space and Lyapunov innovations by way of combining ideas from set-valued research, Lyapunov balance thought, and online game conception. inside this unified framework, the authors then advance numerous keep an eye on layout tools compatible for structures defined via low-order nonlinear traditional differential equations. Emphasis is put on global controller designs, that's, designs for the total area of version validity. simply because linear concept bargains good with neighborhood procedure habit (except for severe circumstances within which Jacobian linearization fails), the authors specialise in reaching robustness and function for big deviations from a given operation condition.
The objective of the e-book is to summarize Lyapunov layout thoughts for nonlinear platforms and to elevate vital concerns relating large-signal robustness and function. The authors were the 1st to handle a few of these concerns, and so they record their findings during this textual content. for instance, they establish strength resources of over the top keep watch over attempt in Lyapunov layout options and express how such attempt will be enormously reduced.
The researcher who needs to go into the sphere of strong nonlinear control could use this e-book as a resource of recent examine subject matters. For these already lively within the box, the book may function a connection with a contemporary physique of vital paintings. eventually, the layout engineer confronted with a nonlinear keep watch over challenge will enjoy the options awarded here.
"The textual content is essentially self-contained. The authors supply all priceless definitions and provides a accomplished advent. in basic terms the main simple wisdom of nonlinear research and layout instruments is needed, together with Lyapunov balance thought and optimum regulate. The authors additionally offer a evaluate of set-valued maps for these readers who're now not conversant in set-valued research. The ebook is meant for graduate scholars and researchers up to speed conception, serving as either a precis of contemporary effects and a resource of recent study difficulties. within the opinion of this reviewer the authors do reach achieving those objectives." — Mathematical Reviews
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