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Optimal \(\mathcal{H}_2\) output-feedback control of sampled-data systems. (English) Zbl 1451.93229

Summary: This paper addresses the output feedback control design problem with limited data-rate constraints. These communication constraints may affect the transmission of control signals or measurements, giving rise to different models, depending on the interconnection architecture. The closed-loop system composed by plant and controller can be modelled as a hybrid system whose stability and \(\mathcal{H}_2\) performance can be determined in terms of necessary and sufficient linear matrix inequalities. However, for the design of the appropriate feedback gains, those conditions become non-convex and we propose an approach to obtain satisfactory solutions. Numerical examples are included.

MSC:

93C57 Sampled-data control/observation systems
93B52 Feedback control
93D23 Exponential stability
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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