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Settling time

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

Settling time is the time required for a response to reach steady state and remain within specified tolerance bands.

Settling time measures how long a response takes to reach steady state and remain within specified tolerance bands, commonly 2–5% of its final value, after transients settle. section 8.7

In PID control, settling time helps evaluate whether a heater or other system reaches its desired set point quickly without lingering oscillation. Increasing Ki tends to increase settling time, while increasing Kd tends to decrease it; these effects interact with Kp, Ki, and Kd. section 8.7

Reading settling time from a step response

A Python control-system evaluation reports a settling time of 0.52 seconds for the tuned PID response, alongside a 1.0 steady-state value and zero overshoot.

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

How deep it goes
Defines tolerance-band measurement and demonstrates computed output, while deferring detailed settling-time derivation.
Examples
Uses a heater step response, a PID gain-effects table, and Python control.step_info output reporting 0.52 seconds.
What it assumes
Assumes PID control and response terminology, while defining settling time alongside rise time, overshoot, and steady-state error.
What you can do after
Evaluate a simulated PID response with control.step_info and compare settling-time trade-offs when adjusting controller gains.
How it connects
Connects settling time with PID controller tuning, step response, rise time, overshoot, and steady-state error.
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