Second-order behavior, overshoot и oscillation
Цель: Изучить тему «Second-order behavior, overshoot и oscillation» и закрепить её практическими заданиями и самопроверкой.
2 акад. часа чтение и разбор теории, решение задач, работа со схемой или виртуальным стендом и проверка понимания.
Основной материал
Some systems have two energy-storage elements or interacting dynamics, producing second-order response. Depending on damping, output may approach smoothly, overshoot or oscillate.
Damping ratio concept
High damping -> slow non-oscillatory. Critical -> fastest without overshoot. Low damping -> oscillatory. Control loop itself can create underdamped behavior even if process is first-order.
Практическая работа
Compare three trend sketches: monotonic slow, fast with 20 % overshoot, sustained oscillation. Identify which indicates underdamped/unstable behavior.
Самопроверка
• Что такое overshoot?
• Что означает damping?
• Чем sustained oscillation отличается decaying?
• Может ли controller create oscillation?
• Почему overshoot dangerous for limits?
Что нужно запомнить
- Some systems have two energy-storage elements or interacting dynamics, producing second-order response.
- Depending on damping, output may approach smoothly, overshoot or oscillate.
- Control loop itself can create underdamped behavior even if process is first-order.
- Compare three trend sketches: monotonic slow, fast with 20 % overshoot, sustained oscillation.
- Identify which indicates underdamped/unstable behavior.