Inverse optimal control for linearizable nonlinear systems with input delays

Xiushan Cai; Jie Wu; Xisheng Zhan; Xianhe Zhang

Kybernetika (2019)

  • Volume: 55, Issue: 4, page 727-739
  • ISSN: 0023-5954

Abstract

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We consider inverse optimal control for linearizable nonlinear systems with input delays based on predictor control. Under a continuously reversible change of variable, a nonlinear system is transferred to a linear system. A predictor control law is designed such that the closed-loop system is asymptotically stable. We show that the basic predictor control is inverse optimal with respect to a differential game. A mechanical system is provided to illustrate the effectiveness of the proposed method.

How to cite

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Cai, Xiushan, et al. "Inverse optimal control for linearizable nonlinear systems with input delays." Kybernetika 55.4 (2019): 727-739. <http://eudml.org/doc/295054>.

@article{Cai2019,
abstract = {We consider inverse optimal control for linearizable nonlinear systems with input delays based on predictor control. Under a continuously reversible change of variable, a nonlinear system is transferred to a linear system. A predictor control law is designed such that the closed-loop system is asymptotically stable. We show that the basic predictor control is inverse optimal with respect to a differential game. A mechanical system is provided to illustrate the effectiveness of the proposed method.},
author = {Cai, Xiushan, Wu, Jie, Zhan, Xisheng, Zhang, Xianhe},
journal = {Kybernetika},
keywords = {nonlinear systems; inverse optimality; predictor control; input delays},
language = {eng},
number = {4},
pages = {727-739},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Inverse optimal control for linearizable nonlinear systems with input delays},
url = {http://eudml.org/doc/295054},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Cai, Xiushan
AU - Wu, Jie
AU - Zhan, Xisheng
AU - Zhang, Xianhe
TI - Inverse optimal control for linearizable nonlinear systems with input delays
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 4
SP - 727
EP - 739
AB - We consider inverse optimal control for linearizable nonlinear systems with input delays based on predictor control. Under a continuously reversible change of variable, a nonlinear system is transferred to a linear system. A predictor control law is designed such that the closed-loop system is asymptotically stable. We show that the basic predictor control is inverse optimal with respect to a differential game. A mechanical system is provided to illustrate the effectiveness of the proposed method.
LA - eng
KW - nonlinear systems; inverse optimality; predictor control; input delays
UR - http://eudml.org/doc/295054
ER -

References

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