Virtual Sensors for Nonlinear Discrete-Time Dynamic Systems

Author:

Sergiyenko Oleg1ORCID,Zhirabok Alexey23ORCID,Hameed Ibrahim A.4ORCID,Azar Ahmad Taher56ORCID,Zuev Alexander23,Filaretov Vladimir78,Tyrsa Vera9,Ibraheem Ibraheem Kasim10ORCID

Affiliation:

1. Engineering Institute, Universidad Autonoma de Baja California, Mexicali 21280, Mexico

2. Department of Automation and Robotics, Far Eastern Federal University, 690990 Vladivostok, Russia

3. Institute of Marine Technology Problems, 690990 Vladivostok, Russia

4. Department of ICT and Natural Sciences, Norwegian University of Science and Technology, Larsgardsvegen, 2, 6009 Alesund, Norway

5. College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

6. Faculty of Computers and Artificial Intelligence, Benha University, Benha 13518, Egypt

7. Institute of Automation and Control Processes, 690041 Vladivostok, Russia

8. Department of Informatics and Control in Technical Systems, Sevastopol State University, 299053 Sevastopol, Russia

9. Engineering Faculty, Mexicali, Universidad Autonoma de Baja California, Mexicali 21100, Mexico

10. Research Center, the University of Mashreq, Baghdad 10001, Iraq

Abstract

The problem of virtual sensor design for nonlinear systems under the disturbance is investigated. Two different mathematical techniques are used to solve the problem: the algebra of functions and the logic-dynamic approach. The first one allows obtaining a general solution while the second one produces a solution for nonlinear systems by linear algebra methods. The virtual sensors are designed to be insensitive to the disturbance based on invariant functions. They estimate the prescribed function of the original system state vector. The practical example illustrates theoretical results.

Funder

Norwegian University of Science and Technology, Norway

Sevastopol State University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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