MATLAB® and Its Applications in Engineering: [Based on MATLAB 7.5 (R2007b)]

11.14. Performance Indices

The performance indices for specifying the transient response of a second order system to a unit step input are as follows:

1. Delay Time, t_d: It is the time required for the response to reach 50 per cent of the final value the very first time.
2. Rise time, t_r: It is the time required for the response to rise from 10 to 90 per cent of the final value in cases of over-damped or critically-damped second-order systems, or 0 to 100 per cent of the final value in case of the under-damped second-order system.
3. Peak time, t_p: It is the time required for the response to reach the first peak of the overshoot.
4. Maximum overshoot, M_p: It is defined as the normalized difference between the maximum value and the final steady-state output ...