Multirate sampled-data systems: all \({\mathcal H}_\infty\) suboptimal controllers and the minimum entropy controller. (English) Zbl 0958.93031

The paper deals with the general multirate sampled-data system and has a twofold purpose: to characterise in an explicit way the set of all \({\mathcal H}_\infty\) suboptimal controllers which internally stabilize the system and to find among all suboptimal controllers a particular one which minimizes an entropy function. The initial hybrid problem is converted into an equivalent linear time-invariant problem with a causality constraint, and the nest operator technique is used to handle causality effectively.


93B36 \(H^\infty\)-control
93C57 Sampled-data control/observation systems
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