Linear and Time Invariant Systems
“What is the most ideal form for controls systems?”
There is a motley of types of control systems out there. So before we begin any sort of analysis, let’s start with the most simple form, known as Linear and Time Invariant Systems. LTI systems have three properties.
- Homogeneity If an input signal is scaled by a constant then the output will be scaled by the same constant
- Superposition If two unique inputs are summed together, then the sum of their outputs will be produced.
- Time Invariance The system will perform the same way no matter what the time is.
Unfortunately, Most controls systems are not LTI systems, but they are still important to study due to their easy to solve structure.