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	<title>Comments on: CMU&#039;s BallBot &#8211; Scientific Advancement or Just-Another-Robot?</title>
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	<link>http://www.robotshop.com/gorobotics/the-news/science/cmus-ballbot-scientific-advancement-or-just-another-robot</link>
	<description>How to Make a Robot &#124; Robotics Projects &#38; News</description>
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		<title>By: Theo (Ted)</title>
		<link>http://www.robotshop.com/gorobotics/the-news/science/cmus-ballbot-scientific-advancement-or-just-another-robot/comment-page-1#comment-75</link>
		<dc:creator>Theo (Ted)</dc:creator>
		<pubDate>Tue, 10 Jun 2008 01:16:46 +0000</pubDate>
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		<description>Well, they do do a little bit of science in the design of their LQR controller. They build a simple model of the system and show that their controller is a valid controller for a system modeled as such. The experimentally-tuned PI controller was just added afterwards to get rid of some frictional effects. (the &quot;I&quot; is the important part; it serves as an internal model that deals with the frictional damping by accumulating extra control energy)

However, none of this is cutting edge control science. A truly sophisticated handling of this robot would include an input (what they built was purely for stabilization/regulation; it is not meant to track an input) and build an appropriate nonlinear controller. (note: for an inverted pendulum like this, the nonlinearities aren&#039;t that great. Gravity adds a sinusoid function, which is globally Lipschitz and looks pretty darn linear when you&#039;re very close to the equilibrium; thus, this problem isn&#039;t even sufficiently nonlinear to be interesting)

So some real science was done here... But it was classroom science. There was no contribution. Nothing *new* is being done here.</description>
		<content:encoded><![CDATA[<p>Well, they do do a little bit of science in the design of their LQR controller. They build a simple model of the system and show that their controller is a valid controller for a system modeled as such. The experimentally-tuned PI controller was just added afterwards to get rid of some frictional effects. (the &#8220;I&#8221; is the important part; it serves as an internal model that deals with the frictional damping by accumulating extra control energy)</p>
<p>However, none of this is cutting edge control science. A truly sophisticated handling of this robot would include an input (what they built was purely for stabilization/regulation; it is not meant to track an input) and build an appropriate nonlinear controller. (note: for an inverted pendulum like this, the nonlinearities aren&#8217;t that great. Gravity adds a sinusoid function, which is globally Lipschitz and looks pretty darn linear when you&#8217;re very close to the equilibrium; thus, this problem isn&#8217;t even sufficiently nonlinear to be interesting)</p>
<p>So some real science was done here&#8230; But it was classroom science. There was no contribution. Nothing *new* is being done here.</p>
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