AUTHORS: M. Khadhraoui, M. Ezzine, H. Messaoud, M. Darouach

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ABSTRACT: This paper deals with the time and frequency domain of a controller design based on a function reduced order filter for linear multi-variable delayed singular systems where measurements are affected by bounded disturbances. The control gain is designed using H1 techniques. The time procedure design is based on the unbiasedness of the estimation error using Sylvester equation and on Lyapunov-Krasovskii stability theory. Then a new method to avoid the time derivative of the disturbance in filtering error is proposed and the problem is solved by means of Linear Matrix Inequalities (LMIs). Both cases where the H1 technique is dependent or independent from the delay are dervied separetely. The frequency domain approach is derived from the time domain one by applying the factorization approach. A numerical example is given to illustrate the proposed approach.

KEYWORDS: Controller, singular systems, H1 functional filter, delay, disturbance

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