PID Feedback Controllers PID 反馈控制器

PID Feedback ControllersPID 反馈控制器 Shen Guo-jiang Institute of Industrial Control, Zhejiang University

Last Lecture • Defined the types of processes: self-regulating and non-self-regulating processes, single- and multi-capacitance processes ; • Discussed the modeling from process dynamics; • Discussed process characteristic parameters K, T,τ, and their obtaining methods from process data.

Problem Discussion • Control valve is divided into Fail-closed valve and Fail-closed valve. what is the physical meaning of them? How to choose them? • What is the definition of the feedback controller action? According to the specific object, how to choose the controller action? • How to evaluate a performance of control system (qualitative and quantitative)

Problem Discussion • Describe the input and output relationship of P,PI and PID controller • For the common controlled process, why P controller will generate an offset and the PI controller can eliminate the offset? • Why the derivative effect of the PID controller dose not used in the most actual process?

Contents • Selection of Valve Action • Action of Feedback Controllers • Performance Criterion of Process Control Systems • Understand P, PI and PID Controllers • Problem Discussion

Action of Control Valves • Types of control valves (1) Fail-closed valve : if no signal exists (or the input signal of valve is zero), the valve will be closed. (2) Fail-opened valve : if no signal exists, the valve will be opened completely. • Selection of valve type If one hope the valve closed when the power is off, he must select fail-closed valve; otherwise, he must select fail-opened valve.

Types of Control Valves Fail-opened Valve Fail-closed Valve

Action of Values • Fail-closed valve Direct Action (正作用) ---when the input signal of the value increases, its output signal also increases. • ) Fail-opened valve Reverse Action (反作用)---when the intput signal from the value increases , its output signal decreases on the contrary.

Control Valve Selection Examples Ex. 2 Ex. 1

Action of Controllers • Direct Action (正作用) when the signal from the transmitter increases, the controller output also increases. • Reverse Action (反作用) when the signal from the transmitter increases, the controller output decreases on the contrary. • Note: The set point is not part of decision.

Selection of Controller Action Principle: to construct a negative feedback loop ?

Controller Action Selection Ex. 1 Considering the safety of the control system, the steam valve must be a fail-closed valve, sou↑→ RV↑. (Why ?) Assume the controller is set to direct action. If T↑, then Conclusion: the controller must be set to reverse action because if it is set to direct action, we cannot build a negative-feedback system.

Controller Action Selection Ex. 2 The coolant valve must be a fail-opened valve, sou↑→ Fw↓. (Why ?) Assume the controller is set to direct action. If T↑, then Other methods ? Conclusion: the controller must be set to reverse action.

Controller action selection based on loop analysis Ex. 1 Step 1: plot block diagram Step 2: indicate the action direction for each block except the controller. Step 3: determine the action of the controller to construct a negative feedback loop (+) TC 22 must be reverse (+) (+) (+)

Controller action selection based on loop analysis Ex. 2 TC 25 must be a reverse controller (－) (+) (－) (+)

Performance Criterion of Process Control Systems • Offset (余差): • Decay Ratio (衰减比): • Overshoot (超调量):

Performance Criterion of Process Control Systems(cont.) • Rise time (上升时间): • Peek time(峰值时间): • Period of Oscillation (振荡周期): • Setting Time (调节时间) ts Which is the best response ?

Problem Discussion • Describe the input and output relationship of P,PI and PID controller • For the common controlled process, why P controller will generate an offset and the PI controller can eliminate the offset? • Why the derivative effect of the PID controller dose not used in the most actual process?

Proportional Controller KC is the controller gain (控制器增益).

Effect of Controller Gain on Controller Output Kc establishes the sensitivity of the controller to an error

Simulation of P Control Loop Fi(t) increases from 10 to 11 liter/min at 10 min. See ../PIDControl/LevelPControlLoop.mdl

Effect of Proportional Gain on Control Performances • P controllers have only one tuning parameter, Kc. However, they suffer a major disadvantage - there exists an Offset of the controlled variable from the set point. (Why ?) • For a given step disturbance, the magnitude of the offset depends on the value of the gain. The larger the gain, the smaller the offset. • Above a certain Kc, most processes go unstable.

About the Proportional Band • Definition: proportional band （比例带）refers to the error (expressed in percent-age of the range of the controlled variable) required to move the output of the controller from its lowest to its highest value.

Proportional-Integral (PI) Controller Ti is the integral time, or the reset time

Simulation of PI Control Loop Fi(t) increases from 10 liter/min to 11 liter/min at time = 10 min. See ../PIDControl/LevelPIControlLoop.mdl

Effect of Integral Action on Control Performances • PI controllers have two tuning parameter: the gain or proportional band, and the integral time or the integral rate (1/Ti ). The advantage is that the integration removes the offset. (Why ?) • The disadvantage of PI controllers is that the addition of integration adds some amount of instability to the system. The smaller the integral time, the stronger the integral action, the faster the system removes the offset, but the weaker the stability of the system.

Proportional-Integral-Derivative (PID) Controller • Ideal PID Controller Td is the derivative time. • Industrial PID Controller Ad is called the derivative gain (微分增益).

Response of Real PID Controller Discuss the effect of Td and Ad on the output of the controller. Please see PIDControl /PIDController.mdl

Simulation of PID Loop Ti(t) increases from 50 Cent. to 60 Cent. at time = 10 min. See ../PIDControl/PIDLoop.mdl

Effect of Derivative Action on Control Performances • PID controllers have three tuning parameter: the gain, the integral time and the derivative time. The derivative action gives the controller the capability to anticipate. • PID controllers are recommended for use in slow processes with long time constants, such as temperature loops, which are usually free of noises. For fast processes with noises, such as flow loops and pressure loops, the use of derivative action will amplify the noise and therefore should not be used.

Problem Discussion • For a stable controlled process, there exist offset when a P controller is used. Why? • When we use a PI controller, there is no offset if the closed-loop system is stable. Please explain its reason. • It is well known that derivative action is helpful to improve the stability of a closed-loop system, however, derivative action is not used in most industrial processes. Why?

Next Lecture • How to select types of PID controller • How to tune parameters of PID controller • How to tune parameters of flow control • How to tune parameters Level Control • What is the Reset Windup and Its Prevention

PID Feedback Controllers PID 反馈控制器