controllability
Sign in to saveControllability is an important property of a control system and plays a crucial role in many regulation problems, such as the stabilization of unstable systems using feedback, tracking problems, obtaining optimal control strategies, or, simply prescribing an input that has a desired effect on the state.
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Encyclopedic overview
23 sectionsContents
- State controllability
- Continuous linear systems
- Rank condition for controllability
- Example
- Continuous linear time-invariant (LTI) systems
- Discrete linear time-invariant (LTI) systems
- Derivation
- Example
- Analogy for example of {{mvar|n}} = 2
- Nonlinear systems
- Controllability via state feedback
- Collective controllability: feedback control of state transition
- Null controllability
- Output controllability
- Controllability under input constraints
- Controllability in the behavioral framework
- Stabilizability
- Reachable set
- Example
- See also
- Notes
- References
- External links
Controllability is an important property of a control system and plays a crucial role in many regulation problems, such as the stabilization of unstable systems using feedback, tracking problems, obtaining optimal control strategies, or, simply prescribing an input that has a desired effect on the state.
Controllability and observability are dual notions. Controllability pertains to regulating the state by a choice of a suitable input, while observability pertains to being able to know the state by observing the output (assuming that the input is also being observed).
Excerpted from Wikipedia’s “controllability” article, available under the CC BY-SA 4.0 licence.