Finite-horizon inverse optimal control for discrete-time nonlinear systems

被引：40

作者：

Molloy, Timothy L. ^{[1
]}

Ford, Jason J. ^{[1
]}

Perez, Tristan ^{[1
,2
]}

机构：

[1] Queensland Univ Technol, Sch Elect Engn & Comp Sci, Brisbane, Qld 4000, Australia

[2] Queensland Univ Technol, Inst Future Environm, Brisbane, Qld 4000, Australia

来源：

AUTOMATICA | 2018年 / 87卷

基金：

澳大利亚研究理事会;

关键词：

Optimal control; Discrete-time systems; Nonlinear systems;

D O I：

10.1016/j.automatica.2017.09.023

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we consider the problem of computing the parameters (or weights) of an optimal control objective function given optimal closed-loop state and control trajectories. We establish a method of inverse optimal control that exploits the discrete-time minimum principle. Under a testable matrix rank condition, our proposed method is guaranteed to recover the unknown objective-function parameters of finite-horizon discrete-time nonlinear optimal control problems. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：442 / 446

页数：5

共 15 条

[1]

Aghasadeghi N, 2014, IEEE INT CONF ROBOT, P6018, DOI 10.1109/ICRA.2014.6907746

[2]

Aghasadeghi N, 2012, IEEE INT CONF ROBOT, P4962, DOI 10.1109/ICRA.2012.6225259

[3]

[Anonymous], 2012, Dynamic programming and optimal control

[4]

[Anonymous], 1994, LINEAR MATRIX INEQUA

[5] ESTIMATING PARAMETERS IN OPTIMAL CONTROL PROBLEMS [J].

Hatz, Kathrin ;

Schloeder, Johannes P. ;

Bock, Hans Georg .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (03) :A1707-A1728

[6]

Johnson M, 2013, IEEE DECIS CONTR P, P2906, DOI 10.1109/CDC.2013.6760325

[7]

Keshavarz A, 2011, 2011 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL (ISIC), P613, DOI 10.1109/ISIC.2011.6045410

[8]

Kuderer M, 2015, IEEE INT CONF ROBOT, P2641, DOI 10.1109/ICRA.2015.7139555

[9]

Maillot T, 2013, IEEE DECIS CONTR P, P1792, DOI 10.1109/CDC.2013.6760142

[10]

Molloy T. L., 2016, 2016 IEEE 55 ANN C D

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