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Peak overshoot

As explained in Optimization Algorithms: AI techniques for design, planning, and control problems

Peak overshoot is the deviation of a response at its peak from its final value.

Peak overshoot measures how far a response deviates from its final value at the response’s peak. In PID control, it is one metric for judging transient performance. section 8.7

Use peak overshoot alongside other response measures:

  • Compare it with rise time, settling time, and steady-state error rather than optimizing it in isolation. section 8.7

Heater response

For a heater switching around a room-temperature set point, a response that rises above the target has peak overshoot; a reported Overshoot of 0 indicates no measured overshoot in the optimized response.

How Optimization Algorithms: AI techniques for design, planning, and control problems covers it

How deep it goes
Defines the metric, relates it to PID parameters, and computes it from simulated step responses, without deriving control theory.
Examples
Uses a heater step response, a PID parameter-effects table, and Python control.step_info output showing zero overshoot.
What it assumes
Assumes basic PID terminology while defining peak overshoot alongside the other response metrics.
What you can do after
Evaluate controller responses with Python’s control.step_info and include overshoot in a tuning objective.
How it connects
Connects peak overshoot with PID control, rise time, settling time, steady-state error, and genetic algorithm optimization.
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