Kuriger9 said:I have the equations to determine the rise time, peak time, percent overshoot, and settling time for a generic second-order system with no zeros in the system. Given a unit step input for the open-loop transfer function G(s)=(s+1)/(s2+2s+1) how do I analytically determine the performance characteristics (aside from using MATLAB)?
Thanks in advance!
rude man said:You can split your transfer function into two parts. One part has no zeros so you an apply your time-response function directly.
The second function is the same as the first except there is a zero in it - at the origin. A clever way to get the time response to this part is to realize that if F(s) → f(t) then sF(s) → df(t)/dt.
Performance characteristics refer to the measurable qualities or attributes of a system, process, or product that determine its effectiveness, efficiency, and reliability.
A zero in the system can affect the overall performance and accuracy of the system. It is important to consider it in order to accurately assess the system's capabilities and make necessary improvements.
Examples of performance characteristics include speed, accuracy, durability, energy efficiency, responsiveness, and user-friendliness.
Performance characteristics are typically measured using quantitative or qualitative methods, such as tests, surveys, observations, or simulations.
Yes, performance characteristics can be improved through various means, such as implementing new technologies, optimizing processes, and continuously monitoring and analyzing data to identify areas for improvement.