Review, PID controller презентация

Steady State Error (ess)

Introduction Introduction

PID Control A closed loop (feedback) control system, generally with Single Input-Single Output (SISO) A portion of the signal being fed back is: Proportional to the signal (P) Proportional to integral of the signal (I) Proportional to the derivative of the signal (D)

When PID Control is Used PID control works well on SISO systems of 2nd Order, where a desired Set Point can be supplied to the system control input PID control handles step changes well to the Set Point especially when : Fast Rise Times Little or No Overshoot Fast settling Times Zero Steady State Error PID controllers are often fine tuned on-site, using established guidelines

Output equation of PID controller in time domain

Figure 4.9 Responses of P, PI, and PID control to (a) step disturbance input (b) step reference input

Figure 4.10 Model of a satellite attitude control: (a) basic system; (b) PD control; (c) PID control

Figure 4.11 Process reaction curve

Figure 4.12 Quarter decay ratio

TABLE 4.2

Figure 4.13 Determination of ultimate gain and period

Figure 4.14 Neutrally stable system

TABLE 4.3

Further Reading Franklin, et. al., Chapter 4 Section 4.3 Richard C. Dorf et.al, Chapter 6, Chapter 6.2