Difference between revisions of "Separation principle"
Karl Jones (Talk | contribs) (Created page with "In control theory, a '''separation principle''', more formally known as a '''principle of separation of estimation and control''', states that under some assumptions the p...") |
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| + | * [[Control theory]] - an interdisciplinary branch of [[engineering]] and [[mathematics]] that deals with the behavior of [[Dynamical system|dynamical systems]] with inputs, and how their behavior is modified by [[feedback]]. | ||
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Latest revision as of 11:29, 24 August 2016
In control theory, a separation principle, more formally known as a principle of separation of estimation and control, states that under some assumptions the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the state of the system, which feeds into an optimal deterministic controller for the system.
Thus the problem can be broken into two separate parts, which facilitates the design..
Description
As an example of such a principle, it has been proved that if a stable observer and stable state feedback are designed for a linear time-invariant system, then the combined observer and feedback will be stable. The separation principle does not hold in general (for example for non-linear systems).
Another example is the separation of the linear-quadratic-Gaussian control solution into the Kalman filter and optimal controller for a linear-quadratic regulator. A separation principle also exists for the control of quantum systems.
See also
- Control theory - an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems with inputs, and how their behavior is modified by feedback.
External links
- Separation principle @ Wikipedia
