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Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays. / Ponomarev, Anton.

In: IEEE Transactions on Automatic Control, Vol. 61, No. 9, 2016, p. 2591-2596.

Research output: Contribution to journal › Article

Harvard

Ponomarev, A 2016, 'Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays', IEEE Transactions on Automatic Control, vol. 61, no. 9, pp. 2591-2596. https://doi.org/10.1109/TAC.2015.2496191

APA

Ponomarev, A. (2016). Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays. IEEE Transactions on Automatic Control, 61(9), 2591-2596. https://doi.org/10.1109/TAC.2015.2496191

Vancouver

Ponomarev A. Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays. IEEE Transactions on Automatic Control. 2016;61(9):2591-2596. https://doi.org/10.1109/TAC.2015.2496191

Author

Ponomarev, Anton. / Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays. In: IEEE Transactions on Automatic Control. 2016 ; Vol. 61, No. 9. pp. 2591-2596.

BibTeX

@article{8c9e0c5e50604b179fad3b72b6636eed,
title = "Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays",
abstract = "Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero. Stabilization of the new system leads to Lyapunov-Krasovskii proven stabilization of the original one. Conditions on the original system are: smooth linearly bounded open-loop vector field and smooth uniformly bounded input vectors. About the transformed system which turns out to be affine in the undelayed input but with input vectors dependent on the input history and system state, we assume existence of a linearly bounded stabilizing feedback and quadratically bounded control-Lyapunov function. If all assumptions hold globally, then achieved exponential stability is global, otherwise local. Analytical and numerical control design examples are provided.",
keywords = "stability of NL systems, delayed control, NL predictive control, nonlinear systems",
author = "Anton Ponomarev",
year = "2016",
doi = "10.1109/TAC.2015.2496191",
language = "не определен",
volume = "61",
pages = "2591--2596",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "9",

}

RIS

TY - JOUR

T1 - Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays

AU - Ponomarev, Anton

PY - 2016

Y1 - 2016

N2 - Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero. Stabilization of the new system leads to Lyapunov-Krasovskii proven stabilization of the original one. Conditions on the original system are: smooth linearly bounded open-loop vector field and smooth uniformly bounded input vectors. About the transformed system which turns out to be affine in the undelayed input but with input vectors dependent on the input history and system state, we assume existence of a linearly bounded stabilizing feedback and quadratically bounded control-Lyapunov function. If all assumptions hold globally, then achieved exponential stability is global, otherwise local. Analytical and numerical control design examples are provided.

AB - Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero. Stabilization of the new system leads to Lyapunov-Krasovskii proven stabilization of the original one. Conditions on the original system are: smooth linearly bounded open-loop vector field and smooth uniformly bounded input vectors. About the transformed system which turns out to be affine in the undelayed input but with input vectors dependent on the input history and system state, we assume existence of a linearly bounded stabilizing feedback and quadratically bounded control-Lyapunov function. If all assumptions hold globally, then achieved exponential stability is global, otherwise local. Analytical and numerical control design examples are provided.

KW - stability of NL systems

KW - delayed control

KW - NL predictive control

KW - nonlinear systems

U2 - 10.1109/TAC.2015.2496191

DO - 10.1109/TAC.2015.2496191

M3 - статья

VL - 61

SP - 2591

EP - 2596

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 9

ER -

ID: 7582920