We consider the problem of controlling linear systems with scalar input by means of feedback from the delayed state. A novel scheme for computing the gain that assigns the dominant eigenvalue of the resulting system is presented. The proposed approach is appealing for its simplicity and it can be applied to a variety of situations, such as delayed output measurements or time delay in the input, with both fixed and variable known delay functions. It is possible to assign the same dominant eigenvalue for an interval of delays, and the bound on the delay is expressed through sufficient, and in some cases necessary, conditions that are easy to check. The resulting control is therefore robust with respect to the delay.

Partial sprectum assignment for systems with delayed state feedback

GERMANI, Alfredo;MANES, COSTANZO
2013-01-01

Abstract

We consider the problem of controlling linear systems with scalar input by means of feedback from the delayed state. A novel scheme for computing the gain that assigns the dominant eigenvalue of the resulting system is presented. The proposed approach is appealing for its simplicity and it can be applied to a variety of situations, such as delayed output measurements or time delay in the input, with both fixed and variable known delay functions. It is possible to assign the same dominant eigenvalue for an interval of delays, and the bound on the delay is expressed through sufficient, and in some cases necessary, conditions that are easy to check. The resulting control is therefore robust with respect to the delay.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/89185
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