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In the case of the unit step, the overshoot is just the maximum value of the step response minus one. Also see the definition of overshoot in an electronics context. For second-order systems, the percentage overshoot is a function of the damping ratio ζ and is given by [3]
The overshoot is the maximum swing above final value, and clearly increases with μ. Likewise, the undershoot is the minimum swing below final value, again increasing with μ. The settling time is the time for departures from final value to sink below some specified level, say 10% of final value.
In control theory, overshoot refers to an output exceeding its final, steady-state value. [13] For a step input, the percentage overshoot (PO) is the maximum value minus the step value divided by the step value. In the case of the unit step, the overshoot is just the maximum value of the step response minus one.
Overshoot (signal), when a signal exceeds its steady state value; Overshoot (microwave communication), the unintended reception of microwave signals; Overshoot (migration), when migratory birds end up further than intended; Overshoot (typography), the degree to which a letter dips below the baseline, or exceeds the cap height
Damped oscillation is a typical transient response, where the output value oscillates until finally reaching a steady-state value. In electrical engineering and mechanical engineering, a transient response is the response of a system to a change from an equilibrium or a steady state.
For people, "overshoot" is that portion of their demand or ecological footprint which must be eliminated to be sustainable, or the delta between a sustainable population and what we currently have. [1] [2] Excessive demand leading to overshoot is driven by both consumption and population. [3] Population decline due to overshoot is known as ...
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The definition of a closed loop control system according to the British Standards Institution is "a control system possessing monitoring feedback, the deviation signal formed as a result of this feedback being used to control the action of a final control element in such a way as to tend to reduce the deviation to zero."