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Mekhatronika, Avtomatizatsiya, Upravlenie, 2015, vol. 16, no. 10, pp. 651—658
DOI: 10.17587/mau.16.651-658


Adaptive Control Design for SISO Plants with Input Delays and Unmeasured Perturbations

E. L. Mirkin1, eugene_mirkin@mail.ru, Zh. Sh. Sharshenaliev2, avtomatika_nankr@mail.ru,
1 International University of Kyrgyzstan, Bishkek, 720071, Kyrgyzstan,
2Institute of Automation and Information Technologies of the National Academy of Sciences (Kyrgyzstan), Bishkek, 720071, Kyrgyzstan


Corresponding authors: Mirkin Evgeniy L., D. Sc, Professor, Head of the Department of Computer Information Systems of the International University of Kyrgyzstan, Bishkek, 720071, Kyrgyzstan, e-mail: eugene_mirkin@mail.ru

Received on May 05, 2015
Accepted on May 25, 2015

Time delay is a phenomenon often encountered in control system designs. Most typically, the delayed systems emerge in transport, communications, chemical processes and power systems. Control of such systems is a difficult problem even in the deterministic settings, not talking about the situations when the parameters of the system are either not completely defined, or they change their values in the process of functioning. In this paper, a new reference model of the adaptive control scheme is proposed for the plans with an input delay and unmeasured perturbations, including some new adaptive control algorithms in the class of systems with an auxiliary model and enhanced error. The synthesized algorithms guarantee stability of the closed control system. Achievement of the control target is ensured by the presence of a closed loop signal with a rich spectrum, otherwise a dissipation system. Application of this scheme allows a reduction of the number of the adjustable parameters of the adaptive controller down to the number of the unknown coefficients of the system. The proposed structure of the adaptive control contains only units with lumped delays, which considerably simplifies implementation of such systems in practice.

Keywords: adaptive systems, SISO systems, advanced error, dissipation


For citation:
Mirkin E. L., Sharshenaliev Zh. Sh. Adaptive Control Design for SISO Plants with Input Delays and Unmeasured Perturbations, Mekhatronika, Avtomatizatsiya, Upravlenie, 2015, vol. 16, no. 10, pp. 651—658.
DOI: 10.17587/mau.16.651-658

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