Systems and Control
Broad in scope, this text shows the multidisciplinary role of dynamics and control, presents neural networks, fuzzy systems, and genetic algorithms, and provides a self-contained introduction to chaotic systems.
TABLE OF CONTENTS Systems and Control
Chapter 7: Vector Field Methods
If your postage stamps get stuck together, place them in the freezer for an hour or two. They'll usually come apart and be usable.
To remove a stamp from an envelope for collecting purposes, put it in the freezer overnight; then take it out and slide a knife between it and the envelope.
Or cut off the corner of the envelope with the stamp and float don't immerse it in lukewarm water until the paper comes off. Dry the stamp on blotting paper, then flatten it between the pages of a book. Or lay a thin paper over the stamp and run moderately hot iron over it.
Caution Never put an antique stamp in water because the ink might run. And don't use steam to loosen such a stamp: it might be ruined as a collector's item.
Reader's Digest Practical Problem Solver [241]
Overview
In this chapter we discuss methods that use vector fields in the controller construction for a class of nonlinear dynamical systems. The control design process, as in the case of linear systems, involves three steps. The first step is the design of a state-feedback control law, the second step involves the design of a state estimator, and the third step combines the first two steps to obtain a combined controller estimator compensator. We use the so-called feedback linearization method to construct a state-feedback control strategy in the first stage of the above design algorithm. The basic idea of the feedback linearization approach is to use a...
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