Control of Systems with I/O Delay via Reduction to a One-Block Problem

G. Meinsma, L. Mirkin and Q.-C. Zhong

Abstract
In this paper the standard (four-block) H_infinty control problem for systems with a single delay in the feedback loop is studied. A simple procedure of the reduction of the problem to an equivalent one-block problem having particularly simple structure is proposed. The one-block problem is then solved by the J-spectral factorization approach, resulting in the so-called dead-time compensator (DTC) form of the controller. The advantages of the proposed procedure are its simplicity, intuitively clear derivation of the DTC form of the H_infinity controller, and extensibility to the multiple delay case.

Keywords: Time-delay systems, H_infinity-optimization, J-spectral factorization, dead-dime compensation.

Pdf file: DelayVia1Block.pdf

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