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2015 | OriginalPaper | Chapter

8. Simulation of Stiff Hybrid Systems with One-Sided Events and Nonsmooth Boundaries

Authors : Yury V. Shornikov, Maria S. Nasyrova, Dmitry N. Dostovalov

Published in: Computational Problems in Science and Engineering

Publisher: Springer International Publishing

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Abstract

Different classes of modal behavior of hybrid systems (HS) are considered. Architecture of instrumental environment is designed in accordance with CSSL standard. Library of original numerical solvers, embedded in simulation environment, is presented. Theorem about the choice of the integration step considering the HS event function dynamic has been formulated and proved. Algorithm of accurate HS event detection with implicit continuous behavior models is designed. Examples of specification and analysis of different hybrid systems models is given.

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Literature
1.
go back to reference Shornikov, Y.V., Tomilov, I.N., Dostovalov, D.N., Denisov, D.N.: Numerical modeling of dynamic processes in electric power systems as a strategic management tool. Scientific Bulletin of the NSTU 4, 129–134 (2011) Shornikov, Y.V., Tomilov, I.N., Dostovalov, D.N., Denisov, D.N.: Numerical modeling of dynamic processes in electric power systems as a strategic management tool. Scientific Bulletin of the NSTU 4, 129–134 (2011)
2.
go back to reference Novikov, E.A., Shornikov, Y.V.: Computer simulation of stiff hybrid systems: monograph. Publishing house of NSTU, Novosibirsk (2012) Novikov, E.A., Shornikov, Y.V.: Computer simulation of stiff hybrid systems: monograph. Publishing house of NSTU, Novosibirsk (2012)
3.
go back to reference Rosenbrock, H.H.: Some general implicit processes for the numerical solution of differential equations. The Computer Journal 5, 329–330 (1963)MATHMathSciNetCrossRef Rosenbrock, H.H.: Some general implicit processes for the numerical solution of differential equations. The Computer Journal 5, 329–330 (1963)MATHMathSciNetCrossRef
4.
go back to reference Shornikov, Y.V., Dostovalov, D.N., Myssak, M.S.: Simulation of hybrid systems with implicitly specified modal behavior in the ISMA environment. Humanities and Science University Journal 5, 175–182 (2013) Shornikov, Y.V., Dostovalov, D.N., Myssak, M.S.: Simulation of hybrid systems with implicitly specified modal behavior in the ISMA environment. Humanities and Science University Journal 5, 175–182 (2013)
5.
go back to reference Breitenecker, F., Popper, N.: Classification and evaluation of features in advanced simulators. In: MATHMOD, Vienna (2009) Breitenecker, F., Popper, N.: Classification and evaluation of features in advanced simulators. In: MATHMOD, Vienna (2009)
6.
go back to reference Shornikov, Y.V., Druzhinin, V.S., Makarov, N.A., Omelchenko, K.V., Tomilov, I.N.: Official Registration License for Computers 2005610126. Rospatent, Moscow (2005) Shornikov, Y.V., Druzhinin, V.S., Makarov, N.A., Omelchenko, K.V., Tomilov, I.N.: Official Registration License for Computers 2005610126. Rospatent, Moscow (2005)
7.
go back to reference Shornikov, Y.V., Myssak, M.S., Dostovalov, D.N., Bessonov, A.V.: Using ISMA simulation environment for numerical solution of hybrid systems with PDE. Computer Modeling and Simulation 4, 101–108 (2014) Shornikov, Y.V., Myssak, M.S., Dostovalov, D.N., Bessonov, A.V.: Using ISMA simulation environment for numerical solution of hybrid systems with PDE. Computer Modeling and Simulation 4, 101–108 (2014)
8.
go back to reference Dostovalov, D.N.: Computer simulation and algorithms of numerical analysis of hybrid systems. Control System and Information Technologies 53(3.1), 128–133 (2013) Dostovalov, D.N.: Computer simulation and algorithms of numerical analysis of hybrid systems. Control System and Information Technologies 53(3.1), 128–133 (2013)
9.
go back to reference Shornikov, Y.V., Dostovalov, D.N., Myssak, M.S., et al.: Specification and analysis of discrete behavior of hybrid systems in the workbench ISMA. Open Journal of Applied Sciences. 3(2b), 51–55 (2013)CrossRef Shornikov, Y.V., Dostovalov, D.N., Myssak, M.S., et al.: Specification and analysis of discrete behavior of hybrid systems in the workbench ISMA. Open Journal of Applied Sciences. 3(2b), 51–55 (2013)CrossRef
10.
go back to reference Arseniev, G.N.: Synthesis and Analysis of Autotracking Systems with Delays in Radio-Electronic Facilities. Information-Measuring Systems 3(2), 25–31 (2005) Arseniev, G.N.: Synthesis and Analysis of Autotracking Systems with Delays in Radio-Electronic Facilities. Information-Measuring Systems 3(2), 25–31 (2005)
11.
go back to reference Oltean, V.E., Dobrescu, R., Popescu, D., Nicolae, M.: On a modal approach for oscillations damping in affine and piecewise affine systems. International Journal of Systems Applications, Engineering & Development 6(1), 1–8 (2012) Oltean, V.E., Dobrescu, R., Popescu, D., Nicolae, M.: On a modal approach for oscillations damping in affine and piecewise affine systems. International Journal of Systems Applications, Engineering & Development 6(1), 1–8 (2012)
12.
go back to reference Popescu, M.-C.O.S., Mastorakis, N.E.: Testing and Simulation of a Motor Vehicle Suspension. International Journal of Systems Applications, Engineering & Development 3(2), 74–83 (2009) Popescu, M.-C.O.S., Mastorakis, N.E.: Testing and Simulation of a Motor Vehicle Suspension. International Journal of Systems Applications, Engineering & Development 3(2), 74–83 (2009)
13.
go back to reference Kampowski, W., Rentrop, P., Schmidt, W.: Classication and Numerical Simulation of Electric Circuits. Surveys on Mathematics for Industry 2(1), 23–65 (1992)MathSciNet Kampowski, W., Rentrop, P., Schmidt, W.: Classication and Numerical Simulation of Electric Circuits. Surveys on Mathematics for Industry 2(1), 23–65 (1992)MathSciNet
14.
go back to reference Shornikov, Yu.V., Tomilov, I.N.: The program of language processor from language LISMA. Official registration license for computers № 2007611024. Rospatent, Moscow (2007) Shornikov, Yu.V., Tomilov, I.N.: The program of language processor from language LISMA. Official registration license for computers № 2007611024. Rospatent, Moscow (2007)
15.
go back to reference De Leeuw, B., Hoogewijs, A.: Statechart normalizations. In: WSEAS Trans. Inf. Sci. Appl. 7(11), 1358–1367 (2010) De Leeuw, B., Hoogewijs, A.: Statechart normalizations. In: WSEAS Trans. Inf. Sci. Appl. 7(11), 1358–1367 (2010)
Metadata
Title
Simulation of Stiff Hybrid Systems with One-Sided Events and Nonsmooth Boundaries
Authors
Yury V. Shornikov
Maria S. Nasyrova
Dmitry N. Dostovalov
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-15765-8_8