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

Qiu, Li; Chen, Tongwen

IEEE Trans. Autom. Control 44, No. 3, 537-550 (1999).

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.

Reviewer: Svitlana P.Rogovchenko (Famagusta)

MSC:

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

Keywords:

multirate sampled-data systems; \({\mathcal H}_\infty\) optimization; digital control; causality constraint; nest algebra; entropy function