Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems

Abstract

Beginning with this Chapter, we will study — in order of increasing complexity — a series of problems concerned with the synthesis of feedback control laws for nonlinear systems of the form (1.2). We will discuss first the case of single-input single-output systems, whose simple structure lends itself to a rather elementary analysis, and then — in the next Chapter — a special class of multivariable systems, in which a straightforward extension of most of the theory developed for single-input single-output systems is possible Finally — in the last four Chapters — we will present a set of more powerful tools for the analysis and the design of more general classes of nonlinear control systems.