Abstract
The paper is devoted to the analysis of algorithms for finding optimal solutions for nonlinear functions with several variables. Often microprocessors in process automation systems monitor and perform calculations to find the extremum of such functions in order to generate a control signal that will be transmitted to the executive. The algorithm of formation of control signals in the adaptive microprocessor system of automation of technological process having the extreme function of the purpose is improved. The following is proposed to ensure high control efficiency with a minimum amount of measurement information. Algorithm for changing the size of a simplex while maintaining its regularity, taking into account the sign of the criterion function at the search stage. The number of steps in the observation phase in which at least one of the previous vertices remains intact. A computational experiment confirmed the effectiveness. Modeling of the process of finding the extremum of the criterion function of the two control influences showed the high efficiency of the proposed algorithm for the development of control microcontroller software.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Vlasov, K.P., Anashkin, A.S.: Theory of automatic control. S.- Pb. St. Petersburg Mining Institute, 103 p. (2003)
Khalil Hassan, K.: Nonlinear Systems, USA, Pearson Education Limited, 560 p. (2013)
Winter, R.B.: Optimal control. Boston – Basel – Berlin, Burkhauser, 504 p., (2000)
Roy, V.F.: Synthesis of the algorithm for managing complex electricity consumers Lighting Engineering and Power Engineering, № 2, KNAMG, Kharkiv, pp. 74–78 (2009)
Vasiliev, F.P.: Optimization methods. Moskow, Factorial, 824 p. (2002)
Attetkov, A.B., Galkin, S.V., Zarubin, V.S.: Optimization methods. Moskow, Publ. N.E. Bauman MSTU, 440 p. (2003)
Clarke, F.: Necessary Conditions in Dynamic Optimization. Memoirs Amer. Math. Soc. 173(816), 113 +(2005)
Dykhta, V., Lyapunov-Krotov, A.: Inequality and sufficient conditions in optimal control. J. Math. Sci. 121(2), 2156–2177 (2004)
Vasiliev, O.V., Arguchintsev, A.V., Terletskiy, V.A.: Optimization methods for systems with lumped and distributed parameters based on admissible variations. Transactions of the 12th Baikal Int. conf. “Optimization methods and their applications.“ Plenary. Report, Irkutsk, pp. 52–68 (2001)
Srochko, V.A.: Modernization of gradient type methods in optimal control problems. Izv. Universities. Mathematics 12, 66–78 (2002)
Aksyonov, E.P.: Optimal Decision Methods: textbook. Perm, IPC “Prokrost”, 90 p. (2016)
Abramenko, I.G., Fyong, L.M., Vlasov, K.P.: Method of determining the efficiency criterion for systems of automatic optimization by flotation separation processes. Vestn. Kharkiv. Polytechnic Inst. 61, 118–119 (1999)
Abramenko, I.G., Bovchalyuk, S.Y., Fomenko, V.O.: Determination of sampling intervals of time series of measurements of technological process parameters in ASC TP. Problems of energy supply and energy saving in agro-industrial complex of Ukraine: Bulletin of KhNTUSG. Professional edition, issue 196, Kharkiv, pp. 56–58 (2018)
Tymchuk, S., Abramenko, I., Zahumenna, K., Shendryk, S., Shendryk, V.: Determination of the sampling interval of time series of measurements for automation systems. In: Karabegović, I. (ed.) NT 2020. LNNS, vol. 128, pp. 478–483. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-46817-0_55
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Tymchuk, S., Abramenko, I., Shendryk, V., Shendryk, S., Piskarev, O. (2022). Controller Software Optimization in Adaptive Extreme Automation Systems. In: Karabegović, I., Kovačević, A., Mandžuka, S. (eds) New Technologies, Development and Application V. NT 2022. Lecture Notes in Networks and Systems, vol 472. Springer, Cham. https://doi.org/10.1007/978-3-031-05230-9_29
Download citation
DOI: https://doi.org/10.1007/978-3-031-05230-9_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-05229-3
Online ISBN: 978-3-031-05230-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)