Solvability conditions of problem of synthesizing proportional-integral control of a linear MIMO system
- Авторы: Zubov N.1,2, Mikrin E.1,2, Misrikhanov M.1, Ryabchenko V.1,2
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Учреждения:
- OAO Energiya Rocket and Space Corporation
- Bauman State Technical University, Moscow
- Выпуск: Том 55, № 5 (2016)
- Страницы: 821-831
- Раздел: Control Systems of Moving Objects
- URL: https://journals.rcsi.science/1064-2307/article/view/219739
- DOI: https://doi.org/10.1134/S1064230716040134
- ID: 219739
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Аннотация
The solvability conditions and just the solution of the problem of the regular and irregular proportional-integral (PI) control are found in accordance with the properties of invariant zeros of a multi-input multioutput (MIMO) system. It is proved that the problem of synthesizing the control of the MIMO system is solvable if and only if the pair of matrices (A, B) that describes a control plant is controllable and the matrix BL⊥ACR⊥ (where BL⊥ is the left zero divisor of the matrix B and CR⊥ is the right zero divisor of the output matrix C) has a complete row rank.
Об авторах
N. Zubov
OAO Energiya Rocket and Space Corporation; Bauman State Technical University, Moscow
Автор, ответственный за переписку.
Email: nik.zubov@gmail.com
Россия, ul. Lenina 4A, Moscow oblast, Korolev, 141070; Vtoraya Baumanskaya ul. 5-1, Moscow, 105005
E. Mikrin
OAO Energiya Rocket and Space Corporation; Bauman State Technical University, Moscow
Email: nik.zubov@gmail.com
Россия, ul. Lenina 4A, Moscow oblast, Korolev, 141070; Vtoraya Baumanskaya ul. 5-1, Moscow, 105005
M. Misrikhanov
OAO Energiya Rocket and Space Corporation
Email: nik.zubov@gmail.com
Россия, ul. Lenina 4A, Moscow oblast, Korolev, 141070
V. Ryabchenko
OAO Energiya Rocket and Space Corporation; Bauman State Technical University, Moscow
Email: nik.zubov@gmail.com
Россия, ul. Lenina 4A, Moscow oblast, Korolev, 141070; Vtoraya Baumanskaya ul. 5-1, Moscow, 105005
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