Linear control systems pdf

The goal of the course is to provide access to the basic design and analysis tools used in practical control systems as well as to give an exposure of the student to the general area of linear systems theory which appears so very often in all branches of engineering

A prerequisite for studying linear control systems is a knowledge of linear system theory

We therefore devote this first chapter to a review of the most important ingredients of linear system theory

The introduction of control problems is postponed until Chapter 2

The most complete theory of control applies to linear systems

Consider the following state- space system: The matrices A,B,C, and D arise from the linearization of Eq

1) about an equi- librium state a0; in Eq

1), the state a is the deviation from the equilibrium a0

In the absence of an actuation input b, the solution to Eq