Abstract
We consider a formalized problem setting for designing possible configurations of a technical system with redundant components and its analytic solution. As the quality criterion for a specific configuration we use the constancy of a given set of functions fulfilled by the system. We formulate the problem of redundancy as finding possible values of the “integration” matrix in an equipment platform that relates input and output interfaces that would ensure the constancy of a collection of the system’s transition matrices intended to evaluate its quality. We obtain a full set of solutions and a version of a solution of the formulated problem which is easier to implement. We give an illustrative example of a real life application.
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References
Hainaut, D., SCAlable & ReconfigurabLe Electronics plaTforms and Tools—Towards the Next Generation of Integrated Modular Avionics. An Introduction to SCARLETT, Aerodays 2011, Madrid, Spain, 2011.
Bernard, S. and Garcia, J., Braking Systems with New IMA Generation, SAE Technic. Paper, 2011, no. 1, pp. 26–62.
Belousov, Yu.A., Fault-Tolerant Onboard Computational Systems. Classification and Evaluation of Technical Characteristics, Aviakosm. Priborostr., 2004, no. 11, pp. 17–24.
Tarasov, A.A., Funktsional’naya rekonfiguratsiya otkazoustoichivykh sistem (Functional Reconfiguration of Fault-Tolerant Systems), Moscow: Logos, 2012.
Firsov, G.V., A Method to Ensure Fault-Tolerance of Computations in Scalable Network Onboard Computational Systems, Tr. MAI, 2006, no. 25. http://www.mai.ru/science/trudy/ published.php?ID=34068
Bukov, V.N., Bronnikov, A.M., Ageev, A.M., and Gamayunov, I.F., Supervisory Control Method for Redundant Technical Systems, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2017, no. 3, pp. 59–69.
Gong, Z. and Aldeen, M., Stabilization of Decentralized Control Systems, J. Math. Syst., Estimat. Control, 1997, vol. 7, no. 1, pp. 1–16.
Wu, H., Decentralized Adaptive Robust Control for a Class of Large Scale Systems with Uncertainties in the Interconnections, Int. J. Control, vol. 76, pp. 253–265.
Bukov, V.N., Bronnikov, A.M., and Sel’vesyuk, N.I., Model Coordination-Based Decentralized Control of Composite Multivariable System, Autom. Remote Control, 2009, vol. 70, no. 10, pp. 1595–1605.
Bukov, V.N., Vlozhenie system. Analiticheskii podkhod k analizu i sintezu matrichnykh system (Embedding of Systems. Analytical Approach to Analysis and Synthesis of Matrix Systems), Kaluga: Izd. Nauch. Lit. Bochkarevoi, 2006.
Moore, E.H. and Barnard, R.W., General Analysis, in Memoirs of the American Philosophical Society, Barnard, R.W., Ed., Philadelphia: Am. Philosoph. Soc., 1935, vol. 1, pp. 197–209.
Penrose, R.A., A Generalized Inverse for Matrices, Proc. Cambridge Philosoph. Soc., 1995, vol. 51, pp. 406–413.
Bronnikov, A.M., Embedding of Systems. Conditions of the Strict Insensitivity of Linear Systems to Nonextensive Structural Disturbances, Autom. Remote Control, 2004, vol. 65, no. 4, pp. 534–545.
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Original Russian Text © V.N. Bukov, A.M. Bronnikov, A.M. Ageev, I.F. Gamayunov, 2017, published in Avtomatika i Telemekhanika, 2017, No. 9, pp. 67–83.
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Bukov, V.N., Bronnikov, A.M., Ageev, A.M. et al. An analytic approach to constructing configurations of technical systems. Autom Remote Control 78, 1600–1613 (2017). https://doi.org/10.1134/S0005117917090053
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DOI: https://doi.org/10.1134/S0005117917090053