Control of mechanical systems by the mixed "time and expenditure" criterion

Standard

Control of mechanical systems by the mixed "time and expenditure" criterion. / Alesova, I. M.; Babadzanjanz, L. K.; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Saakyan, A. T.

8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 080003 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Alesova, IM , Babadzanjanz, LK , Pototskaya, IY , Pupysheva, YY & Saakyan, AT 2018, Control of mechanical systems by the mixed "time and expenditure" criterion. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics., 080003, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics: 8th Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034720

APA

Alesova, I. M., Babadzanjanz, L. K., Pototskaya, I. Y., Pupysheva, Y. Y., & Saakyan, A. T. (2018). Control of mechanical systems by the mixed "time and expenditure" criterion. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics [080003] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034720

Vancouver

Alesova IM , Babadzanjanz LK , Pototskaya IY , Pupysheva YY , Saakyan AT. Control of mechanical systems by the mixed "time and expenditure" criterion. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. American Institute of Physics. 2018. 080003. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034720

Author

Alesova, I. M. ; Babadzanjanz, L. K. ; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Saakyan, A. T. / Control of mechanical systems by the mixed "time and expenditure" criterion. 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{00f265032c8345fd8dcf41f229341bfd,

title = "Control of mechanical systems by the mixed {"}time and expenditure{"} criterion",

abstract = "The optimal controlled motion of a mechanical system, that is determined by the linear system ODE with constant coefficients and piecewise constant control components, is considered. The number of control switching points and the heights of control steps are considered as preset. The optimized functional is combination of classical time criteria and {"}Expenditure criteria{"}, that is equal to the total area of all steps of all control components. In the absence of control, the solution of the system is equal to the sum of components (frequency components) corresponding to different eigenvalues of the matrix of the ODE system. Admissible controls are those that turn to zero (at a non predetermined time moment) the previously chosen frequency components of the solution. An algorithm for the finding of control switching points, based on the necessary minimum conditions for mixed criteria, is proposed.",

author = "Alesova, {I. M.} and Babadzanjanz, {L. K.} and Pototskaya, {I. Yu} and Pupysheva, {Yu Yu} and Saakyan, {A. T.}",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.; International Scientific Conference on Mechanics: 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",

year = "2018",

month = may,

day = "2",

doi = "10.1063/1.5034720",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "Kustova, {Elena V.} and Leonov, {Gennady A.} and Yushkov, {Mikhail P.} and Morosov, {Nikita F.} and Mekhonoshina, {Mariia A.}",

booktitle = "8th Polyakhov's Reading",

address = "United States",

}

RIS

TY - GEN

T1 - Control of mechanical systems by the mixed "time and expenditure" criterion

AU - Alesova, I. M.

AU - Babadzanjanz, L. K.

AU - Pototskaya, I. Yu

AU - Pupysheva, Yu Yu

AU - Saakyan, A. T.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - The optimal controlled motion of a mechanical system, that is determined by the linear system ODE with constant coefficients and piecewise constant control components, is considered. The number of control switching points and the heights of control steps are considered as preset. The optimized functional is combination of classical time criteria and "Expenditure criteria", that is equal to the total area of all steps of all control components. In the absence of control, the solution of the system is equal to the sum of components (frequency components) corresponding to different eigenvalues of the matrix of the ODE system. Admissible controls are those that turn to zero (at a non predetermined time moment) the previously chosen frequency components of the solution. An algorithm for the finding of control switching points, based on the necessary minimum conditions for mixed criteria, is proposed.

AB - The optimal controlled motion of a mechanical system, that is determined by the linear system ODE with constant coefficients and piecewise constant control components, is considered. The number of control switching points and the heights of control steps are considered as preset. The optimized functional is combination of classical time criteria and "Expenditure criteria", that is equal to the total area of all steps of all control components. In the absence of control, the solution of the system is equal to the sum of components (frequency components) corresponding to different eigenvalues of the matrix of the ODE system. Admissible controls are those that turn to zero (at a non predetermined time moment) the previously chosen frequency components of the solution. An algorithm for the finding of control switching points, based on the necessary minimum conditions for mixed criteria, is proposed.

UR - http://www.scopus.com/inward/record.url?scp=85047177163&partnerID=8YFLogxK

U2 - 10.1063/1.5034720

DO - 10.1063/1.5034720

M3 - Conference contribution

AN - SCOPUS:85047177163

T3 - AIP Conference Proceedings

BT - 8th Polyakhov's Reading

A2 - Kustova, Elena V.

A2 - Leonov, Gennady A.

A2 - Yushkov, Mikhail P.

A2 - Morosov, Nikita F.

A2 - Mekhonoshina, Mariia A.

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics: 8th Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -

ID: 73213403