43 lines
		
	
	
		
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			43 lines
		
	
	
		
			1.7 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| +++
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| title = "Implementation challenges for multivariable control: what you did not learn in school!"
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| author = ["Dehaeze Thomas"]
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| draft = false
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| +++
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| 
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| Tags
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| : [Multivariable Control]({{< relref "multivariable_control.md" >}})
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| 
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| Reference
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| : (<a href="#citeproc_bib_item_1">Garg 2007</a>)
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| 
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| Author(s)
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| : Garg, S.
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| 
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| Year
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| : 2007
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| 
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| Discusses:
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| 
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| -   When to use multivariable control and when not to?
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| -   Two major issues with implementing multivariable control: **gain scheduling** and **integrator wind up protection**
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| 
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| > Inline simple gain and phase margin measured for SISO, "robustness" determination of multivariable control requires complex analyses using **singular value techniques** and **Monte Carlo** simulations.
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| 
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| **When to use multivariable control**:
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| 
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| -   System has high input/output coupling and not much separation between loop bandwidth
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| -   System is complex with large number of states
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| -   When sequential SISO loop closure will not meet performance requirements
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| 
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| Importance of having a mechanism to limit the control rate in the synthesis process.
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| The control rate should be weighted appropriately in order to not saturate the system and stay in the linearity regime.
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| 
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| -   importance of scaling the plant prior to synthesis and also replacing pure integrators with slow poles
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| 
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| 
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| ## Bibliography {#bibliography}
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| 
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| <style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
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|   <div class="csl-entry"><a id="citeproc_bib_item_1"></a>Garg, Sanjay. 2007. “Implementation Challenges for Multivariable Control: What You Did Not Learn in School!” In <i>AIAA Guidance, Navigation and Control Conference and Exhibit</i>. doi:<a href="https://doi.org/10.2514/6.2007-6334">10.2514/6.2007-6334</a>.</div>
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| </div>
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