Which of the following is an example of a common graphical control algorithm?

The choice of PID as an example of a common graphical control algorithm is rooted in its widespread application and effectiveness in control systems. PID, which stands for Proportional-Integral-Derivative, is a control loop feedback mechanism commonly used in industrial control applications. It is designed to continuously calculate an error value as the difference between a desired setpoint and a measured process variable, then applies a corrective action based on proportional, integral, and derivative terms, hence the name.

The graphical representation of PID controllers typically includes plots that illustrate how each of the components (proportional, integral, and derivative) affects the overall system response over time. This makes it an intuitive and effective method for controlling processes and is commonly taught and referenced in instrumentation training.

In contrast, while fuzzy logic and proportional control also serve important roles in control systems, they do not have the same standardized graphical representation as PID controllers. Linear programming, on the other hand, is a mathematical method used for optimization problems rather than a control algorithm; it does not fit into the framework of graphical control in the same way as PID.