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

Abstract

Beginning from 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 (1.2.1). 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 two Chapters—we will present a set of more powerful tools for the analysis and the design of rather more general classes of multivariable control systems.