http://wiki.karljones.com/index.php?action=history&feed=atom&title=Separation_principle 2026-10-23T11:55:49Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Separation_principle&diff=17156&oldid=prev 2016-08-24T18:29:59Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 18:29, 24 August 2016</td> </tr><tr><td colspan="2" class="diff-lineno">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; 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font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[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]].</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; 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Karl Jones http://wiki.karljones.com/index.php?title=Separation_principle&diff=17151&oldid=prev 2016-08-24T18:26:54Z

<p>Created page with &quot;In <a href="/index.php/Control_theory" title="Control theory">control theory</a>, a &#039;&#039;&#039;separation principle&#039;&#039;&#039;, more formally known as a &#039;&#039;&#039;principle of separation of estimation and control&#039;&#039;&#039;, states that under some assumptions the p...&quot;</p> <p><b>New page</b></p><div>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.<br /> <br /> Thus the problem can be broken into two separate parts, which facilitates the design..<br /> <br /> == Description ==<br /> <br /> 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).<br /> <br /> 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.<br /> <br /> == See also ==<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Separation_principle Separation principle] @ Wikipedia<br /> <br /> <br /> [[Category:Control theory]]</div>

Karl Jones