Domenico94
- 130
- 6
Hi everyone. I'm studying for the exam of control theory, and now I'm having an hard time with the response of a system, in particular when we have oscillations.
Suppose you have a system, with a transfer function, say, G(S), in the form:
G(S) = 1
-------------------
(s ^2 + 2a*w (s) + w^2)
Then, if we have oscillations, we can calculate the maximum elongation (in percentage), over final value, with the formula
S = (final value)* 100 * e ^ ((-pi * a)/sqrt(1 - a^2)),
in which a is the damped coefficient.
The problem is, if the final value is 0, what should I do there? Thank you for your help
Suppose you have a system, with a transfer function, say, G(S), in the form:
G(S) = 1
-------------------
(s ^2 + 2a*w (s) + w^2)
Then, if we have oscillations, we can calculate the maximum elongation (in percentage), over final value, with the formula
S = (final value)* 100 * e ^ ((-pi * a)/sqrt(1 - a^2)),
in which a is the damped coefficient.
The problem is, if the final value is 0, what should I do there? Thank you for your help