Methods of fault accommodation in technical systems


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Abstract

We consider the design problem of methods of full decoupling from fault-generated actions in systems described by a nonlinear dynamical model, where by a fault we mean inadmissible deviations of the parameters of the system from their nominal values. The solution of the problem depends on the formation of a new control law taking into account the behavior of a system with faults. To solve this problem we propose using the logic-dynamic approach, in which the original model of the system is subject to certain transformations, which enables solving nonlinear problems by linear methods. Another feature of this approach is the possibility of dealing with nondifferentiable nonlinearities, such as saturation, backlash, and hysteresis. The solution proposed in this paper is based on the full decoupling from fault-generated actions, which requires the construction of an auxiliary system for the synthesis of a feedback which provides for the required decoupling. Implementation of this method will be instrumental in enhancing the efficiency of fault accommodation in the part of the reduction of computational and time costs when implementing the new control law.

About the authors

E. Yu. Bobko

Far East State University; Institute of Applied Mathematics, Far Eastern Branch

Email: zhirabok@mail.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690600; ul. Radio 7, Vladivostok, 690041

A. N. Zhirabok

Far East State University; Institute of Applied Mathematics, Far Eastern Branch

Author for correspondence.
Email: zhirabok@mail.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690600; ul. Radio 7, Vladivostok, 690041

A. E. Shumskii

Far East State University; Institute of Applied Mathematics, Far Eastern Branch

Email: zhirabok@mail.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690600; ul. Radio 7, Vladivostok, 690041


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