DOI: https://doi.org/10.32515/2414-3820.2018.48.69-78
Synthesis of Modal Control of Multidimensional Linear Systems in Agricultural Production Based on Linear Matrix Inequalities
About the Authors
Oleksiy Lobok, Associate Professor, Doctor of Physical and Mathematical Sciences, National University of Food Technologies, Kyiv, Ukraine, e-mail:
Boris Goncharenko, Professor, Doctor in Technics (Doctor of Technics Sciences), National University of Food Technologies, Kyiv, Ukraine, e-mail: goncharenkobn@i.ua
Larisa Vihrova, Professor, PhD in Technics (Candidate of Technics Sciences), Central Ukrainian National Technical University, Kropyvnytskyi, Ukraine, e-mail: vihrovalg@ukr.net
Marina Sych, PhD in Technics (Candidate of Technics Sciences), National University of Bioresources and Nature Management of Ukraine, Kyiv, Ukraine, e-mail: sm.nuft@gmail.com
Abstract
Keywords
Full Text:
PDFReferences
1. Balandin, D.V., Kogan, M.M. (2007). Sintez zakonov upravlenija na osnove linejnyh matrichnyh neravenstv [Synthesis of control laws based on linear matrix inequalities]. Moskow: Fizmatlit [in Russian].
2. Gantmaher, F.R. (2004). Teorija matric [Matrix Theory]. Moskow: Fizmatlit [in Russian].
3. Poljak, B.T., Hlebnikov, M.V. (2014). Upravlenie linejnymi sistemami pri vneshnih vozmushhenijah: Tehnika linejnyh matrichnyh neravenstv [Control of linear systems under external disturbances: Technique of linear matrix inequalities]. Moskow: LENAND [in Russian].
4. Jakubovich, V.A. (1962). Reshenie nekotoryh matrichnyh neravenstv, vstrechajushhihsja v teorii avtomaticheskogo regulirovanija [The solution of some matrix inequalities encountered in the theory of automatic regulation]. DAN SSSR, Vol.143, 6, 1304-1307 [in Russian].
5. Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V. (1994). LinearMatrix Inequalities in System and Control Theory. Philadelphia: SIAM [in English].
6. Chilali, M., Gahinet, P. (1996). design with pole placement constraints: An LMI approach. IEEE Trans. Automat. Contr., Vol.41, 358–367 [in English].
7. Ghaoui, L.E., Niculescu, S.I. (2000). Advances in linear matrix inequality methods in control. Advances in Design and Control. Philadelphia, PA: SIAM [in English].
8. Masubuchi, I., Ohara, A., Suda, N. (1998). LMI-based controller synthesis: A unified formulation and solution. Int. J. Robust Nonlinear Contr, Vol. 8, 669–686. [in English].
GOST Style Citations
- Баландин Д.В., Коган М.М. Синтез законов управления на основе линейных матричных неравенств. Москва: Физматлит, 2007. 281 с.
- Гантмахер Ф.Р. Теория матриц. Москва: Физматлит, 2004. 560 с.
- Поляк Б.Т., Хлебников М.В. Управление линейными системами при внешних возмущениях: Техника линейных матричных неравенств. Москва: ЛЕНАНД, 2014. 560 с.
- Якубович В.А. Решение некоторых матричных неравенств, встречающихся в теории автоматического регулирования. ДАН СССР. 1962. Т. 143, №6. С. 1304-1307.
- Boyd S., El Ghaoui L., Feron E., Balakrishnan V. LinearMatrix Inequalities in System and Control Theory. Philadelphia: SIAM, 1994. 193 p.
- Chilali M., Gahinet P. design with pole placement constraints: An LMI approach. IEEE Trans. Automat. Contr., 1996. vol.41, pp. 358–367.
- Ghaoui L.E., Niculescu S.I. Advances in linear matrix inequality methods in control. Advances in Design and Control. Philadelphia, PA: SIAM, 2000. 372 p.
- Masubuchi I., Ohara A., Suda N. LMI-based controller synthesis: A unified formulation and solution. Int. J. Robust Nonlinear Contr., 1998, vol. 8, pp. 669–686.