Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays

Zhenbo Li and Shuqian Zhu

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-12

Abstract:

The problem of stabilization by means of dynamic output feedback is studied for discrete-time delayed systems with possible interval uncertainties. The control is under positivity constraint, which means that the resultant closed-loop system must be stable and positive. The robust resilient controller is respect to additive controller gain variation which also belongs to an interval. Necessary and sufficient/sufficient conditions are established for the existence of the dynamic output feedback controller. The desired controller gain matrices can be determined effectively via the cone complementarity linearization techniques.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:640806

DOI: 10.1155/2010/640806

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