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Feedback approximation in model predictive control. / Ponomarev, A.

2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. 2015. p. 342-344.

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

Harvard

Ponomarev, A 2015, Feedback approximation in model predictive control. in 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. pp. 342-344. https://doi.org/10.1109/SCP.2015.7342134

APA

Ponomarev, A. (2015). Feedback approximation in model predictive control. In 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings (pp. 342-344) https://doi.org/10.1109/SCP.2015.7342134

Vancouver

Ponomarev A. Feedback approximation in model predictive control. In 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. 2015. p. 342-344 https://doi.org/10.1109/SCP.2015.7342134

Author

Ponomarev, A. / Feedback approximation in model predictive control. 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. 2015. pp. 342-344

BibTeX

@inproceedings{2f19607d06b74ed1bd9dffddc761bbe1,
title = "Feedback approximation in model predictive control",
abstract = "{\textcopyright} 2015 IEEE.Model predictive control of a nonlinear dynamical system with linearizable and Lipschitz right-hand side is studied. It is proven that the exact model predictive control feedback allows approximation with a piecewise-affine, possibly discontinuous, function defined by its precalculated values on a finite grid. Approximation is understood not in the sense that control values are close but rather in the sense of closeness of the cost values. Additionally, if such approximation is close enough, stability of the approximate MPC is proven.",
author = "A. Ponomarev",
year = "2015",
doi = "10.1109/SCP.2015.7342134",
language = "English",
isbn = "9781467376983",
pages = "342--344",
booktitle = "2015 International Conference on {"}Stability and Control Processes{"} in Memory of V.I. Zubov, SCP 2015 - Proceedings",

}

RIS

TY - GEN

T1 - Feedback approximation in model predictive control

AU - Ponomarev, A.

PY - 2015

Y1 - 2015

N2 - © 2015 IEEE.Model predictive control of a nonlinear dynamical system with linearizable and Lipschitz right-hand side is studied. It is proven that the exact model predictive control feedback allows approximation with a piecewise-affine, possibly discontinuous, function defined by its precalculated values on a finite grid. Approximation is understood not in the sense that control values are close but rather in the sense of closeness of the cost values. Additionally, if such approximation is close enough, stability of the approximate MPC is proven.

AB - © 2015 IEEE.Model predictive control of a nonlinear dynamical system with linearizable and Lipschitz right-hand side is studied. It is proven that the exact model predictive control feedback allows approximation with a piecewise-affine, possibly discontinuous, function defined by its precalculated values on a finite grid. Approximation is understood not in the sense that control values are close but rather in the sense of closeness of the cost values. Additionally, if such approximation is close enough, stability of the approximate MPC is proven.

U2 - 10.1109/SCP.2015.7342134

DO - 10.1109/SCP.2015.7342134

M3 - Conference contribution

SN - 9781467376983

SP - 342

EP - 344

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

ER -

ID: 4012638