Corresponding author: Tsykunov Aleksandr M., D. Sc., Head of the Department "Mathematic", Astrakhan, 414056, Astrakhan State Technical University, e-mail: tsykunov_al@mail.ru

Received on September 22, 2015
Accepted on October 01, 2015

The object which mathematical model is the vector equation with the distributed delay on a state vector investigated. It is supposed, that parameters and order of mathematical model are unknown. On object not measured limited disturbance operated. The problem of tracing a reference signal is formulated. To provide qualitative tracking a reference signal, it is necessary to compensate influence of not measured disturbance on the output variable. For the decision of this problem, the method of an auxiliary contour is used. This method has well proved at designing sensible control for systems without delay. In this paper, this method was used for systems with the distributed delay. The problem robust control of objects with the distributed delay on a state vector was solved. It is suppose, that parameters and order of mathematical model of object are unknown, and output variable are accessible to measurement only. As target conditions accuracy of tracking of a reference signal is accepted. The algorithm of the control was received allowing compensating aprioristic uncertainty and it is essential to reduce influence not measured the bounded external limited disturbance to output. The equations of the closed system are singular the system of equations. In this paper is prove, that the received algorithm of control provides performance of target conditions. Numerical examples and results of computer simulation, which have shown efficiency of the receive algorithm of tracking.

Keywords: distributed delay, robust control, target condition, functional, reference signal, singular the system of equations

For citation:
Tsykunov A. M. Robust Control of Object with Distributed Delay and Unknown Order of Mathematical Model, Mekhatronika, Avtomatizatsiya, Upravlenie, 2016, vol. 17, no. 4, pp. 219—227.
DOI: 10.17587/mau/17.219-227

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