“What is the frequency that causes machines to stop working efficiently?”
Many modern electrical machines depend on a frequency for some input. However, sometimes we don’t want it to be accessible to all inputs. To achieve this, we implement something called a cutoff frequency into the system. A cutoff frequency is the frequency point in which a machine’s output will stop working efficiently.
Control System Stability
“How can we measure the stability of a control system?”
Control systems are necessary for the function of society. However, if our system proves to be unstable, then it can cause serious harm to its operation. So how can we measure the control system stability? Well if we take the Laplace transform of the transfer function and observe that there are poles in the right-hand plane, then the exponential part of the function will grow to infinity over time, thereby causing a system malfunction. Control system stability is used to analyze a diverse range of fields ranging from aerospace controls to robotics and even building energy management.
“What is the plane that Laplace transforms are graphed in?”
When performing a Laplace transform, a function in the t domain will be transferred into one of the s-plane. In the s domain, the real part of the function will be displayed on the horizontal axis while the imaginary component will be on the vertical axis. This allows for both the sinusoidal and exponential parts of a function to be visualized.