Teaching sampled‐data<i>H</i><sub>∞</sub>control theory using arm robot experiment system

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<jats:title>Abstract</jats:title><jats:p>This paper explains how to use an arm robot experiment system to teach sampled‐data<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>control theory. A design procedure is presented for a digital tracking control system for a continuous plant with structured uncertainties; the target is the positioning control of an arm robot. To guarantee the robust stability of the closed‐loop system and provide the desired closed‐loop performance, the design problem is first formulated as a sampled‐data<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>control problem, and is then transformed into an equivalent discrete‐time<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>control problem. Finally, linear matrix inequalities are used to obtain a reduced‐order output‐feedback controller and a static state‐feedback controller. In a course, the design procedure is explained and practice is provided through simulations and experiments. © 2011 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.</jats:p>

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