Team:KULeuven/Modeling/Integrated Model
From 2009.igem.org
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We are mostly interested in the ability of the controlled system to follow a step input signal, for a linear system the steady state tracking error is: | We are mostly interested in the ability of the controlled system to follow a step input signal, for a linear system the steady state tracking error is: | ||
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with T the total open loop gain. | with T the total open loop gain. |
Revision as of 20:33, 28 September 2009
Tuning the controller
Here we consider the problem of choosing the amount of proportional action in the feedback loop, in following sections terminology and concepts used in linear control theory are used. It's of course obvious will not behave in a linearly way. But the concepts and design strategies of linear control theory can be translated to non-linear control theory.
One of the most useful ways of investigating the behaviour of closed loop system is the investigation of the open loop system. The open loop system is the system which one becomes if you 'remove' the differentiator.
Stability
Tracking problem
We are mostly interested in the ability of the controlled system to follow a step input signal, for a linear system the steady state tracking error is:
with T the total open loop gain.