What is a characteristic of a linear control system?

A characteristic of a linear control system is that the output is directly proportional to the input. In linear systems, the relationship between input and output can be described using linear equations, meaning that if the input changes, the output will change in a consistent and predictable manner based on a constant proportionality factor. This is a fundamental principle in control theory, enabling easier analysis and design of control systems.

In a linear control system, if you were to double the input, the output would also double, illustrating this direct proportionality. This predictable behavior allows for simpler mathematical modeling and control strategies, facilitating system stability and performance analysis.

The dependency of the output on external factors typically leads to complex, nonlinear behavior, and a direct, non-proportional relationship is indicative of a nonlinear control system. Therefore, the essence of a linear control system rests on its promise of consistent proportionality between the changes in input and changes in output.