Output control for a class of nonlinear systems based on dynamic linearization
https://doi.org/10.17586/2226-1494-2024-24-2-208-213
Abstract
A dynamic system is considered where the regulating impact is the product of the control signal on the output variable of a linear dynamic system driven by the same applied control. The essence of the proposed method consists in the dynamic linearization of a nonlinear control operator, which makes it possible to guarantee a desired regulating impact. In a particular case, this approach corresponds to vector (field-oriented) control. It is shown that dynamic linearization based on the internal model method makes it possible to decompose a nonlinear system into a cascade of two subsystems. The proposed regulator consists of two blocks connected in series where the first block solves the problem of regulation with the Luenberger observer, and the second block compensates for a nonlinear dynamic operator. To demonstrate the effectiveness of the proposed approach, an example of numerical modeling of a neutrally stable plant with an output adaptive control is given. In practice, this method may be in demand in the tasks of controlling induction and synchronous motors and multi-link robotic manipulators.
Supporting agencies: The work was supported by the Ministry of Science and Higher Education of the Russian Federation, Agreement No. 075-11-2023-015, 10.02.2023, “Creation of high-tech serial production of energy-efficient synchronous electric motors with integrated intelligent position sensor and self-diagnosis functions for robotics and digital automation systems”.
About the Authors
A. A. Pyrkin
ITMO University
Russian Federation
Russian Federation
Anton A. Pyrkin — D.Sc., Full Professor
Saint Petersburg, 197101
sc 26656070700
M. S. Ta
ITMO University
Russian Federation
Russian Federation
Minh Son Ta — PhD Student, Engineer
Saint Petersburg, 197101
sc 57871766600
Q. C. Nguyen
ITMO University
Russian Federation
Russian Federation
Quang Cuong Nguyen — PhD Student, Engineer
Saint Petersburg, 197101
A. K. Golubev
ITMO University
Russian Federation
Russian Federation
Anton K. Golubev — PhD Student, Assistant
Saint Petersburg, 197101
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Review
For citations:
Pyrkin A.A., Ta M.S., Nguyen Q.C., Golubev A.K. Output control for a class of nonlinear systems based on dynamic linearization. Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 2024;24(2):208-213. (In Russ.) https://doi.org/10.17586/2226-1494-2024-24-2-208-213
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