IntermediateTopic 49 of 101Signals, Control & Comms
Time-domain specifications
Rise time, peak time, overshoot and settling time.
In depth
Rise time t_r, peak time t_p, percent overshoot %OS, settling time t_s (±2% or 5%) and steady-state error quantify transient and steady behaviour. Specifications translate to allowed pole regions in the s-plane. Used to design and compare controllers.
Key points
- Delay time
- Overshoot vs damping
- Trade-off speed vs overshoot
ExampleA servo spec might require less than 10% overshoot and 0.5 s settling time.
What is Time-domain specifications?
Rise time, peak time, overshoot and settling time.
Why is it important to understand time-domain specifications?
Time-domain specifications describe the response in terms that clients and designers understand, such as rise time and overshoot.
What is rise time?
The time for the response to move from a low percentage to a high percentage of its final value, often 10 to 90 percent.
What is percent overshoot?
The amount by which the response exceeds its final value at its peak, expressed as a percentage of the final value.
How is Time-domain specifications used in practice?
Typical applications include writing a requirement that a positioning stage must settle within two seconds, specifying the maximum overshoot of a heater temperature controller and comparing two controllers by rise time and peak time.
What should I learn before Time-domain specifications?
Study "Second-order system response" first (topic 48 of 101 in Signals, Control & Comms). It covers the groundwork this topic builds on.
What are the key points of Time-domain specifications?
Delay time. Overshoot vs damping. Trade-off speed vs overshoot.
Can you give an example of Time-domain specifications?
A servo spec might require less than 10% overshoot and 0.5 s settling time.
What comes after Time-domain specifications?
The next topic is "Steady-state error", which builds directly on this one.
How difficult is Time-domain specifications?
It is classed as Intermediate in Signals, Control & Comms (topic 49 of 101). It is an intermediate topic. Work through the beginner topics in Signals, Control & Comms first.