Stabilization
High school
Consider a system that does not stay at a desired resting state by itself, like a broom balanced on your hand. Stabilization is designing a controller that makes the system settle at that resting state and stay near it.
Undergraduate
Consider a control system with an equilibrium (or a set) that is to be made stable. Stabilization is the control problem of finding a feedback law that makes the equilibrium of the closed-loop system asymptotically stable.
Examples
Examples
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Balancing an inverted pendulum upright
High school
Balancing the pendulum is stabilization because the upright position is an unstable equilibrium that feedback must make asymptotically stable.
Distinctions involving this term
- Types of control objectives: A feedback controller is designed to meet a goal, and the goals have different names. Stabilization makes an equilibrium asymptotically stable. Regulation holds an output at a constant set point despite disturbances. Tracking makes an output follow a reference that changes over time.