Minimax control in the singularly perturbed linear-quadratic stabilization problem

S.K. Myshkov; V.V. Karelin

doi:10.1109/SCP.2015.7342130

Minimax control in the singularly perturbed linear-quadratic stabilization problem

S.K. Myshkov, V.V. Karelin

Кафедра математической теории моделирования систем управления

Research output ›

2 Citations (Scopus)

Abstract

© 2015 IEEE. The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between the report and previous works is in the presence of regular and singular perturbations in the dynamics.

Original language	English
Title of host publication	2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	328-331
ISBN (Print)	9781467376983
DOIs	https://doi.org/10.1109/SCP.2015.7342130
Publication status	Published - 2015

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title = "Minimax control in the singularly perturbed linear-quadratic stabilization problem",

abstract = "{\textcopyright} 2015 IEEE. The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between the report and previous works is in the presence of regular and singular perturbations in the dynamics.",

keywords = "discrete systems, feedback, linear quadratic control, minimax techniques, singularly perturbed systems, stability, discrete minimax problem, minimax control, output feedback stabilization problem, singularly perturbed linear-quadratic stabilization problem, Eigenvalues and eigenfunctions, Kalman filters, Observers, Optimal control, Output feedback, Regulators",

author = "S.K. Myshkov and V.V. Karelin",

year = "2015",

doi = "10.1109/SCP.2015.7342130",

language = "English",

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pages = "328--331",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Minimax control in the singularly perturbed linear-quadratic stabilization problem

AU - Myshkov, S.K.

AU - Karelin, V.V.

PY - 2015

Y1 - 2015

N2 - © 2015 IEEE. The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between the report and previous works is in the presence of regular and singular perturbations in the dynamics.

AB - © 2015 IEEE. The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between the report and previous works is in the presence of regular and singular perturbations in the dynamics.

KW - discrete systems

KW - feedback

KW - linear quadratic control

KW - minimax techniques

KW - singularly perturbed systems

KW - stability

KW - discrete minimax problem

KW - minimax control

KW - output feedback stabilization problem

KW - singularly perturbed linear-quadratic stabilization problem

KW - Eigenvalues and eigenfunctions

KW - Kalman filters

KW - Observers

KW - Optimal control

KW - Output feedback

KW - Regulators

U2 - 10.1109/SCP.2015.7342130

DO - 10.1109/SCP.2015.7342130

M3 - Conference contribution

SN - 9781467376983

SP - 328

EP - 331

BT - 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

ER -