Синтез астатического управления линейной системой…
ISSN 0236-3933. Вестник МГТУ им. Н.Э. Баумана. Сер. Приборостроение. 2017. № 1
73
SYNTHESIS OF ASTATIC LINEAR SYSTEMS CONTROL
BASED ON GENERALIZED ACKERMANN'S FORMULA
N.E. Zubov
1, 2
Nikolay.Zubov@rsce.ru nezubov@bmstu.ruE.A. Mikrin
1, 2
V.N. Ryabchenko
1, 2
1
S.P. Korolev Rocket and Space Corporation Energia, Korolev, Moscow Region,
Russian Federation
2
Bauman Moscow State Technical University, Moscow, Russian Federation
Abstract
Keywords
The main purpose of the article was to examine the syn-
thesis of astatic law of linear multiple-input and output
system control. The synthesis algorithm hinges upon the
generalized formula of Ackermann's controller for astatic
control. Generalization is achieved by using an input
matrix special partition and the use of matrix zero divi-
sors technique
Linear MIMO-system, Ackermann’s
formula, astatic control, matrix zero
divisors
REFERENCES
[1]
Kailath T. Linear systems. New Jersey, Prentice Hall, Englewood Cliffs, 1980. 682 p.
[2]
Zhou K. Essentials of robust control. New Jersey, Prentice Hall, 1998. 425 p.
[3]
Dorf R.C., Bishop R.H. Modern control systems. Addison-Wesley (Russ. ed.: Sovremen-
nye sistemy upravleniya. Moscow, Laboratoriya Bazovykh Znaniy Publ., 2004. 832 p.).
[4]
Misrikhanov
M.Sh., Ryabchenko V.N. Modular synthesis of power system control using
generalized Ackermann's formula.
Avtomatika 2008: doklady XV mezhdunarodnoy konfer-
entsii po avtomaticheskomu upravleniyu. T. 1
[Automatics 2008: Proc. XV int. conf. on auto-
matic control. Vol. 1]. Odessa, ONMA Publ., 2008, pp. 362–365 (in Russ.).
[5]
Vorob'yeva E.A., Zubov N.E., Mikrin E.A., Misrikhanov
M.Sh., Ryabchenko V.N., Tima-
kov S.N. Synthesis of stabilizing spacecraft control based on generalized Ackermann’s formula.
Journal of Computer and Systems Sciences International
, 2011, vol. 50, no. 1, pp. 93–103.
Available at:
http://link.springer.com/article/10.1134/S1064230711060189DOI: 10.1134/S1064230711010199
[6]
Zubov N.E., Mikrin E.A., Misrikhanov
M.Sh., Oleynik A.S., Ryabchenko V.N. Terminal
bang-bang impulsive control of linear time invariant dynamic systems.
Journal of Computer
and Systems Sciences International
, 2014, vol. 53, no. 3, pp. 430–444.
Available at:
http://link.springer.com/article/10.1134%2FS1064230714030174DOI: 10.1134/S1064230714030174
[7]
Gantmakher F.R. Teoriya matrits [Matrix theory]. Moscow, Nauka Publ., 1967. 576 p.
Zubov N.E.
— Dr. Sci. (Eng.), Deputy Director for Science, Research and Development Cen-
tre, S.P. Korolev Rocket and Space Corporation Energia (Lenina ul. 4-a, Korolev, Moscow
Region, 141070 Russian Federation), Professor of Automatic Control System Department,
Bauman Moscow State Technical University (2-ya Baumanskaya ul. 5, Moscow, 105005 Rus-
sian Federation).