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noise
Transfer function model
Imaginary unit,
Proportional control gain
,
,
Scheduling parameters
Backward shift operator,
Sensitivity function
Input sensitivity function
Complementary sensitivity function
Desired complementary sensitivity function
Derivative control gain
Derivative control filter time constant
Integral control time constant
Closed-loop time constant
Control signal
Minimum and maximum limits for
Steady-state value for a control signal
Actual control signal (
)
Operating condition of
Bandwidth or natural frequency in PID controller design (rad/s)
Operating condition of
Damping coefficient in PID controller design
Output signal
Steady-state value of the output signal
Actual output signal (
)

       Acronyms

FFT
FSF Frequency sampling filter
IPD Alternative PID controller structure with proportional control and derivative control on output only
PID Proportional, integral and derivative
PWM Pulse Width Modulation

      This book is accompanied by a companion website:

      www.wiley.com/go/Wang/PIDcontrolsystem

      The website includes:

       Lecture slides

       MATLAB/Simulink programs

      Scan this QR code to visit the companion website.

      1.1 Introduction

      This chapter will introduce the basic ideas of PID control systems. It starts with an introduction to the roles of proportional control, integral control, and derivative control, followed by an introduction to the various tuning rules developed over the past several decades. These tuning rules are mainly developed for first order plus delay systems and are simple to use. However, they do not, in general, guarantee satisfactory control system performance. Simulation

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