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When to use multivariable control and when not to? Two major issues with implementing multivariable control: gain scheduling and integrator wind up protection Inline simple gain and phase margin measured for SISO, &ldquo;robustness&rdquo; determination of multivariable control requires complex analyses using singular value techniques and Monte Carlo simulations.
When to use multivariable control:" />
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<h1 class="post-title">Implementation challenges for multivariable control: what you did not learn in school!</h1>
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<h2 class="post-toc-title">Contents</h2>
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<dl>
<dt>Tags</dt>
<dd><a href="/zettels/multivariable_control/">Multivariable Control</a></dd>
<dt>Reference</dt>
<dd><sup id="07f63c751c1d9fcfe628178688f7ec24"><a href="#garg07_implem_chall_multiv_contr" title="Sanjay Garg, Implementation Challenges for Multivariable Control: What you did not learn in school!, nil, in in: {AIAA Guidance, Navigation and Control Conference and
Exhibit}, edited by (2007)">(Sanjay Garg, 2007)</a></sup></dd>
<dt>Author(s)</dt>
<dd>Garg, S.</dd>
<dt>Year</dt>
<dd>2007</dd>
</dl>
<p>Discusses:</p>
<ul>
<li>When to use multivariable control and when not to?</li>
<li>Two major issues with implementing multivariable control: <strong>gain scheduling</strong> and <strong>integrator wind up protection</strong></li>
</ul>
<blockquote>
<p>Inline simple gain and phase margin measured for SISO, “robustness” determination of multivariable control requires complex analyses using <strong>singular value techniques</strong> and <strong>Monte Carlo</strong> simulations.</p>
</blockquote>
<p><strong>When to use multivariable control</strong>:</p>
<ul>
<li>System has high input/output coupling and not much separation between loop bandwidth</li>
<li>System is complex with large number of states</li>
<li>When sequential SISO loop closure will not meet performance requirements</li>
</ul>
<p>Importance of having a mechanism to limit the control rate in the synthesis process.
The control rate should be weighted appropriately in order to not saturate the system and stay in the linearity regime.</p>
<ul>
<li>importance of scaling the plant prior to synthesis and also replacing pure integrators with slow poles</li>
</ul>
<h1 id="bibliography">Bibliography</h1>
<p><a id="garg07_implem_chall_multiv_contr"></a>Garg, S., <em>Implementation challenges for multivariable control: what you did not learn in school!</em>, In , AIAA Guidance, Navigation and Control Conference and Exhibit (pp. ) (2007). : . <a href="#07f63c751c1d9fcfe628178688f7ec24">↩</a></p>
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