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Disturbance Rejection in Singular Time-delay Systems with External Disturbances

Fang Gao* and Wenbin Chen
International Journal of Control, Automation, and Systems, vol. 20, no. 6, pp.1841-1848, 2022

Abstract : This paper considers an active disturbance rejection problem of a singular time-delay system with unknown external disturbances. By using an equivalent-input-disturbance (EID) technique, an EID estimation is developed to compensate the adverse effect of external disturbance on the system. Moreover, a new criterion for admissible of singular time-delay system is obtained in term of strict linear matrix inequality without equality constraint. And on this basis, a sufficient condition is acquired to pledge the EID-based singular time-delay control system to be admissible. Accordingly, state feedback control gain is obtained via the sufficient condition. Two numerical examples are carried out to demonstrate the feasibility and the validity of our method.

Keyword : Admissible, disturbance rejection, equivalent input disturbance (EID), linear matrix inequality, singular time-delay system.

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