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.
~20 min read
Article
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).