The monodromy matrix construction for executive object of a nonlinear system.
Keywords:
monodromy matrix, mathematical model, asynchronous motor, state equation.
Abstract
The article reveals one of a monodromy matrix constructing methods, reveals the essence of the simplest construction and calculation such matrix. This method is used to build a actuator mathematical model, which can be used to study transients and steady-state processes.
References
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O. M. Amao and T. I. Fossen, Finite element modeling of mooring lines, Mathematics and Computers in Simulation, 53 (2004) 415-422.
P. I. Barth Berntsen, O. M. Amao and B. J. Leira, Ensuring mooring line integrity by dynamic positioning: Controller design and experimental tests, Automatica, 45 (2009) 1285-1290.
D. Lee, J. Kim and H. Kim, Design of an automatic winch system for small fishing vessel, Bulletin of Korean Society of Fisheries Technology, 36 (3) (2000) 157-166.
D. Lee, Dynamic characteristics of a hydraulic fishing winch simulator, Korean Journal of Fisheries and Aquatic Sciences, 37 (4) (2004) 330 - 336.
D. Lee and S. Chun, Characteristics of ship winches and their hydrostatic drives, Journal of the Korea Society of Fluid Power & Construction Equipment, 4 (2) (2007) 27 - 34.
Y. An, Driving characteristics improvement of SRM winch system using torque sharing function, Journal Of the Korean Society of Marine Engineering, 31 (4) (2007) 433-440.
J. Ha, D. Han and G. Han, The study for improve the braking power of mooring winch brake, Proceedings of 2008 Autumn Conference of KSME, (2008) 512-517.
S. Kostiuchko and V. Tchaban, "Variational Method of Auxiliary Equations in Nonlinear Systems Analysis and Synthesis Problems," 2019 IEEE 20th International Conference on Computational Problems of Electrical Engineering (CPEE), Lviv-Slavske, Ukraine, 2019, pp. 1-5, doi: 10.1109/CPEE47179.2019.8949123.
S. Kostiuchko, O. Kuzmych, A. Aitouche, S. Grinyuk and O. Mekush, "Application of Parametric Sensitivity Method to Analysis of Automatic Mooring Winch with Electric Drive System," 2019 4th Conference on Control and Fault Tolerant Systems (SysTol), Casablanca, Morocco, 2019, pp. 294-299, doi: 10.1109/SYSTOL.2019.8864751.
Tchaban V. Auxiliary model of parametric sensitivity / Vasil Tchaban, Serhiy Kostiuchko, Zorana Tchaban // Computational Problems of Electrical Engineering. – Lviv, 2012. – V. 2, № 2. – P. 105-111.
Lyashko S.I. Generalized Optimal Control of Linear Systems with Distributed Parameters / Dordrecht, Boston, London. – Kluwer Academic Publishers. – 2002. – 455 p.
Aprile T.I. A computer algorithm to determine the steadystate responce of non-linear oscilators / Aprile T.I., Trick T.N. // IEEE, Trans. Circuit Theory. – 1972. – vol. 19. – Р. 354-360.
Korn G. Mathematical handbook for scientists and engineers / Korn G., Korn T. Toronto, London: Mc. Graw-Hill book comp. – 1996. – 720 p.
Tomovic, R., Sensitivity Analysis of Dynamic Systems, McGraw-Hill Book Co., New York, 1963.
Brayton, R. K., Spence, R., Sensitivity and Optimization, Elsevier, New York, 1980.
Frank, P. M., Introduction to System Sensifivity Theory, Academic Press, New York, 1978.
Kelley, H. J., "Method of Gradients", Optimization Techniques with Applications to Aerospace Systems, edited by George Leitmann, Academic Press, Orlando FL, 1962.
Schmit, L. A., Jr., "Structural Synthesis - Its Genesis and Development", AIAA Journal, v. 19, 1981, pp. 1249-1263.
McKeown, J. J., "Parametric Sensitivity Analysis of Nonlinear Programming Problems", Nonlinear Optimization - Theory and Algorithms, edited by L. C. W. Dixon, E. S. Spedicato and G. P. Szego, Birkhauser, Boston, 1980.
McKeown, J. J., "An Approach to Sensitivity Analysis", Numerical Optimization of Dynamic Systems, North Holland, edited by L. C. W. Dixon and G. P. Szego, 1980, pp. 349-362.
Vanderplaats, G. N., Yoshida, H., "Efficient Calculation of Optimum Design Sensitivity", AIAA Paper 84-0855, 1984.
Youngbok Kim. A study on the control system design for ship mooring winch system. - Journal of Mechanical Science and Technology 28 (3) (2014) 1065~1072 www.springerlink.com/content/1738-494x, DOI 10.1007/s12206-013-1181-9.
O. M. Amao and T. I. Fossen, Finite element modeling of mooring lines, Mathematics and Computers in Simulation, 53 (2004) 415-422.
P. I. Barth Berntsen, O. M. Amao and B. J. Leira, Ensuring mooring line integrity by dynamic positioning: Controller design and experimental tests, Automatica, 45 (2009) 1285-1290.
D. Lee, J. Kim and H. Kim, Design of an automatic winch system for small fishing vessel, Bulletin of Korean Society of Fisheries Technology, 36 (3) (2000) 157-166.
D. Lee, Dynamic characteristics of a hydraulic fishing winch simulator, Korean Journal of Fisheries and Aquatic Sciences, 37 (4) (2004) 330 - 336.
D. Lee and S. Chun, Characteristics of ship winches and their hydrostatic drives, Journal of the Korea Society of Fluid Power & Construction Equipment, 4 (2) (2007) 27 - 34.
Y. An, Driving characteristics improvement of SRM winch system using torque sharing function, Journal Of the Korean Society of Marine Engineering, 31 (4) (2007) 433-440.
J. Ha, D. Han and G. Han, The study for improve the braking power of mooring winch brake, Proceedings of 2008 Autumn Conference of KSME, (2008) 512-517.
S. Kostiuchko and V. Tchaban, "Variational Method of Auxiliary Equations in Nonlinear Systems Analysis and Synthesis Problems," 2019 IEEE 20th International Conference on Computational Problems of Electrical Engineering (CPEE), Lviv-Slavske, Ukraine, 2019, pp. 1-5, doi: 10.1109/CPEE47179.2019.8949123.
S. Kostiuchko, O. Kuzmych, A. Aitouche, S. Grinyuk and O. Mekush, "Application of Parametric Sensitivity Method to Analysis of Automatic Mooring Winch with Electric Drive System," 2019 4th Conference on Control and Fault Tolerant Systems (SysTol), Casablanca, Morocco, 2019, pp. 294-299, doi: 10.1109/SYSTOL.2019.8864751.
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Published
2020-05-17
How to Cite
Kostiuchko, S., Kyryliuk, L., KalysО., Sibanda , Z., & Havryliuk, S. (2020). The monodromy matrix construction for executive object of a nonlinear system . COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (39), 40-43. https://doi.org/10.36910/6775-2524-0560-2020-39-07
Section
Automation and Control
