TY - GEN

T1 - Optimal control for a class of nonlinear systems with state delay based on Adaptive Dynamic Programming with ε-error bound

AU - Lin, Xiaofeng

AU - Cao, Nuyun

AU - Lin, Yuzhang

PY - 2013

Y1 - 2013

N2 - In this paper, a finite-horizon ε-optimal control for a class of nonlinear systems with state delay is proposed by Adaptive Dynamic Programming (ADP) algorithm. First of all, the performance index function is defined and the Hamilton-Jacobi-Bellman (HJB) equation is obtained for the problem, the convergence of the iterative algorithm is also presented. Then, ADP algorithm for finite-horizon optimal control is introduced with an ε-error bound so as to get the ε-optimal control, and BP neural network is used to implement ADP algorithm. At last, an example is given to demonstrate the effectiveness of the proposed algorithm.

AB - In this paper, a finite-horizon ε-optimal control for a class of nonlinear systems with state delay is proposed by Adaptive Dynamic Programming (ADP) algorithm. First of all, the performance index function is defined and the Hamilton-Jacobi-Bellman (HJB) equation is obtained for the problem, the convergence of the iterative algorithm is also presented. Then, ADP algorithm for finite-horizon optimal control is introduced with an ε-error bound so as to get the ε-optimal control, and BP neural network is used to implement ADP algorithm. At last, an example is given to demonstrate the effectiveness of the proposed algorithm.

KW - ε-optimal control

KW - Adaptive Dynamic Programming

KW - finite time

KW - nonlinear systems

KW - state delay

UR - http://www.scopus.com/inward/record.url?scp=84891550216&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891550216&partnerID=8YFLogxK

U2 - 10.1109/ADPRL.2013.6615005

DO - 10.1109/ADPRL.2013.6615005

M3 - Conference contribution

AN - SCOPUS:84891550216

SN - 9781467359252

T3 - IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning, ADPRL

SP - 177

EP - 182

BT - Proceedings of the 2013 IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning, ADPRL 2013 - 2013 IEEE Symposium Series on Computational Intelligence, SSCI 2013

T2 - 2013 4th IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning, ADPRL 2013

Y2 - 16 April 2013 through 19 April 2013

ER -