On Hinfinity control for deadtime systems
Meinsma, Gjerrit and Zwart, Hans (2000) On Hinfinity control for deadtime systems. IEEE transactions on automatic control, 45 (2). pp. 272285. ISSN 00189286

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Abstract:  A mixed sensitivity Hinfinity problem is solved for deadtime systems. It is shown that for a given bound on the Hinfinitynorm causal stabilizing controllers exist that achieve this bound if and only if a related finitedimensional Riccati equation has a solution with a certain nonsingularity property. In the case of zero time delay, the Riccati equation is a standard Riccati equation and the nonsingularity condition is that the solution be nonnegative definite. For nonzero time delay, the nonsingularity condition is more involved but still allows us to obtain controllers. All suboptimal controllers are parameterized, and the central controller is shown to be a feedback interconnection of a finitedimensional system and a finite memory system, both of which can be implemented. Some Hinfinity problems are rewritten as pure rational Hinfinity problems using a Smith predictor parameterization of the controller 
Item Type:  Article 
Copyright:  ©2000 IEEE 
Faculty:  Electrical Engineering, Mathematics and Computer Science (EEMCS) 
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Link to this item:  http://purl.utwente.nl/publications/29891 
Official URL:  http://dx.doi.org/10.1109/9.839949 
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