Adaptive dynamic programming and optimal control of nonlinear nonaffine systems

In this paper, a novel optimal control design scheme is proposed for continuous-time nonaffine nonlinear dynamic systems with unknown dynamics by adaptive dynamic programming (ADP). The proposed methodology iteratively updates the control policy online by using the state and input information withou...

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Bibliographic Details
Published in:Automatica (Oxford) Vol. 50; no. 10; pp. 2624 - 2632
Main Authors: Bian, Tao, Jiang, Yu, Jiang, Zhong-Ping
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.10.2014
Elsevier
Subjects:
Adaptive dynamic programming
Adaptive optimal control
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Modelling and identification
Nonaffine systems
Optimal control
Nonaffine systems
Adaptive dynamic programming
Adaptive optimal control
Stability
Information system
Non linear control
Control synthesis
Continuous time
Dynamical system
Non linear system
Adaptive control
Optimization
Closed feedback
Optimal control
Non affine transform
System identification
Dynamic programming
ISSN:0005-1098, 1873-2836
Online Access:Get full text
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Summary:In this paper, a novel optimal control design scheme is proposed for continuous-time nonaffine nonlinear dynamic systems with unknown dynamics by adaptive dynamic programming (ADP). The proposed methodology iteratively updates the control policy online by using the state and input information without identifying the system dynamics. An ADP algorithm is developed, and can be applied to a general class of nonlinear control design problems. The convergence analysis for the designed control scheme is presented, along with rigorous stability analysis for the closed-loop system. The effectiveness of this new algorithm is illustrated by two simulation examples.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2014.08.023