By Randy A. Freeman
This publication offers advances within the concept and layout of sturdy nonlinear keep an eye on structures. within the first a part of the publication, the authors offer a unified framework for state-space and Lyapunov ideas by means of combining recommendations from set-valued research, Lyapunov balance concept, and video game idea. inside this unified framework, the authors then advance various regulate layout equipment compatible for structures defined via low-order nonlinear traditional differential equations. Emphasis is put on global controller designs, that's, designs for the whole zone of version validity. simply because linear concept bargains good with neighborhood process habit (except for serious situations within which Jacobian linearization fails), the authors concentrate on reaching robustness and function for big deviations from a given operation condition.
The function of the e-book is to summarize Lyapunov layout suggestions for nonlinear platforms and to elevate vital matters pertaining to large-signal robustness and function. The authors were the 1st to deal with a few of these matters, they usually file their findings during this textual content. for instance, they establish power resources of over the top keep watch over attempt in Lyapunov layout concepts and convey how such attempt might be enormously reduced.
The researcher who needs to go into the sphere of sturdy nonlinear control could use this e-book as a resource of recent study subject matters. For these already lively within the box, the book may function a connection with a up to date physique of important paintings. ultimately, the layout engineer confronted with a nonlinear keep an eye on challenge will enjoy the suggestions awarded here.
"The textual content is essentially self-contained. The authors supply all priceless definitions and provides a complete creation. in basic terms the main uncomplicated wisdom of nonlinear research and layout instruments is needed, together with Lyapunov balance conception and optimum keep watch over. The authors additionally supply a evaluate of set-valued maps for these readers who're no longer conversant in set-valued research. The e-book is meant for graduate scholars and researchers on top of things conception, serving as either a precis of modern effects and a resource of latest study difficulties. within the opinion of this reviewer the authors do reach achieving those objectives." — Mathematical Reviews