文档介绍：. Chau © 2001
Table of Contents
Preface
1. Introduction ............................................................ [Number of 10-point single-space pages -->] 3
2. Mathematical Preliminaries .................................................................................................. 35
A simple differential equation model
Laplace transform
Laplace mon to control problems
Initial and final value theorems
Partial fraction expansion
Case 1: p(s) has distinct, real roots
Case 2: p(s) plex roots
Case 3: p(s) has repeated roots
Transfer function, pole, and zero
Summary of pole characteristics
Two transient model examples
A Transient Response Example
A stirred tank heater
Linearization of nonlinear equations
Block diagram reduction
Review Problems
3. Dynamic Response ............................................................................................................. 19
First order differential equation models
Step response of a first order model
Impulse response of a first order model
Integrating process
Second order differential equation models
Step response time domain solutions
Time-domain features of underdamped step response
Processes with dead time
Higher order processes and approximations
Simple tanks-in-series
Approximation with lower order functions with dead time
Interacting tanks-in-series
Effect of zeros in time response
Lead-lag element
Transfer functions in parallel
Review Problems
4. State Space Representation ................................................................................................... 18
State space models
Relation with transfer function models
Properties of state space models
Time-domain solution
Controllable canonical form
Diagonal canonical form
Review