control_theory
时间:2023-06-05 20:37:00
Internet of Things (IoT)
- network of physical objects (things)
- embedded with sensors, software
- is used for connecting and exchanging data
- with other devices and systems over the Internet
Control system
- an interconnection of physical components
- connected
- direct or regulate itself or another system.
Control theory
- The control of dynamical systems in engineered processes and machines.
- develop a model or algorithm governing the application of system
- minimizing any delay, overshoot, or steady-state error
- ensuring a level of control stability
- achieve a degree of optimality
A linear system
- Additivity property
x1(t) x2(t) → y1(t) y2(t)
- Homogeneity or Scaling property
ax(t) → ay(t)
ax1(t) bx2(t) → ay1(t) by2(t)
Closed-Loop Systems
Disadvantages:
- Costly
- Complex
- 又贵又复杂
Advantages:
- Decreased sensitivity of the system to variations提升系统对抗变化的能力
- Improved rejection of the disturbances提升系统对抗扰动的能力
- Improved measurement noise attenuation提升了测量噪声的衰减,抗噪声
- Improved reduction of the steady-state error of the system提升了对于稳态误差的减少
- Easy control and adjustment of the transient response of the system
Lead Compensator
Method to find suitable zero and pole location
找到合适的零点和极点步骤:
-
Evaluate the sum of angles
- 首先,振动不变,因此阻尼比不变,根仍在直线上(阻尼比表示根与原点连接cos)
- 然后,由settle time求出横坐标
- 计算出让这一点成为根轨迹上所需的角度补偿
Evaluate the sum of angles from the open-loop to a designed point,which yields the desired transient response.
-
The difference between 180° are the compensator
180° 补偿器所需的角度贡献必须是计算角度角度
-
Arbitrarily select either a lead compensator pole or zero, then find another one by 180° principle
通过和为180°另一个零点或极点的位置
Transducer
-
Transducer/Sensor measure the output of the system back to be compared with the input, or reference signal, so that the output can be controlled
闭环系统使用传感器(有时称为传感器)来测量系统的输出,并将测量结果反馈给输入或参考信号进行比较,以控制输出
-
The difference between the two values, the error, is then applied to the system via a controller.
两个值之间的差值,即误差,然后通过控制器应用于系统。
-
instrumentation is required to condition the signal if the signal is too small or too noisy
传感器输出信号可能太小而无用,或噪音太大,因此需要使用仪器来调整信号
transducer的分类
classifying transducers
-
By variable that is, the type of quantity being measured
根据变量,即测量的类型
- Temperature
- Pressure
- Displacement
- Flow
- Humidity
- Velocity
- Acceleration
-
By type that is, the operating principle of the transducer being
used根据类型,即传感器的工作原理
- Resistive电阻式
- Inductive电感式
- Capacitive电容式
accordingly电阻率、介电常数和磁导率三个属性。
Some types of transducer can be used for measuring different
variables.可用于测量不同变量的传感器。
Resistive Transducers
影响因素:
- strain (拉伸材料是否改变应力)
- temperature
For strin:
R=ρL/A
L:导体长度 A:横截面面积
For temperature:
𝑅t=𝑅(1+𝛼𝑇)
Inductive Transducers
L=(μN^2 A)/L
Capacitive Transducers
c=eA/d
Temperature Sensors/Transducers
Thermocouple热电偶
Resistance thermometer/resistance temperature detectors (RTDs)
电压 = 电流 ×电阻
Thermistor热敏电阻
-
Negative Temperature Coefficient (NTC) thermistors
负温度系数 (NTC) 热敏电阻
-
Positive Temperature Coefficient (PTC)thermistors
正温度系数 (PTC) 热敏电阻
instrumentation
is required for two reasons:
-
Signal Processing信号处理
(the output is a different variable from the input)
-
Signal Conditioning信号调制
(the output represents the same variable as the input)
本处使用的是信号调制
instrumentation包含几下几个方面:
-
Amplification放大
如果传感器输出太小,则需要放大器来增加信号的幅度
-
Linearization线性化
如果传感器是非线性的,需要线性化器来使传感器的输出在其工作范围内呈线性
-
Filtering滤波
滤波器用来去除噪声
instrumentation使用时需要考虑的事项:
- Characteristics of the input variable输入变量的特征
- Range (范围max and min)
- Overload protection过载保护
- Frequency response频率响应
- Transient response瞬态响应
- Resonant frequency共振频率
- Transducer input/output relation传感器输入/输出关系
- Accuracy即输出是否准确
- Precision :the apparent degree of accuracy是准确度的度量
- Repeatability: 重复实验给出相似结果的能力
- Linearity
- Sensitivity输入端的改变在输出端的反应
- Resolution:清晰度
- Stability:稳态
- Slew rate:压摆率the highest possible rate of change at the output
- Hysteresis:滞后
- Overall System整体系统
- Output characteristics:输出特性
- Size and weight:尺寸和重量
- Power requirements:能源需求
- Accessories needed:需要的配件
- Mounting requirements:增长需要
- Environment of transducer location:传感器所在地的环境
- Crosstalk串扰
- Measurement Reliability测量可靠性
- Ease of speed of calibration and testing易于校准和测试
- Time available for calibration and testing可用于校准和测试的时间
- Stability against drift抗漂移稳定性
- Vulnerability to sudden failure突发故障的脆弱性
- Fail safety故障安全
- Failure recognition故障识别
- Purchase购买是否便利
- Availability and delivery
- Price
- Previous experience以往的经验
zero-order hold数字信号恢复为模拟信号时的近似
- yields a staircase approximation to the analog
signal.
产生模拟信号的阶梯近似值。 - 它在 𝑡∈[𝑘𝑇, (𝑘+1)𝑇] 期间保持一个常数 𝑓(𝑘𝑇) 的输出