TY - GEN

T1 - Optimal control scheme for nonlinear systems with saturating actuator using -iterative adaptive dynamic programming

AU - Lin, Xiaofeng

AU - Huang, Yuanjun

AU - Cao, Nuyun

AU - Lin, Yuzhang

PY - 2012

Y1 - 2012

N2 - In this paper, a finite-horizon optimal control scheme for a class of nonlinear systems with saturating actuator is proposed by an improved iterative adaptive dynamic programming (ADP) algorithm. The Hamilton-Jacobi-Bellman (HJB) equation corresponding to constrained control is formulated using a suitable nonquadratic function. Then mathematical analysis of the convergence is presented, by proving that the performance index function can reach the optimum using the adaptive iteration. Finally the finite-horizon optimal control law can be obtained by the -iterative adaptive algorithm. The examples are given to demonstrate the effectiveness of the above methods.

AB - In this paper, a finite-horizon optimal control scheme for a class of nonlinear systems with saturating actuator is proposed by an improved iterative adaptive dynamic programming (ADP) algorithm. The Hamilton-Jacobi-Bellman (HJB) equation corresponding to constrained control is formulated using a suitable nonquadratic function. Then mathematical analysis of the convergence is presented, by proving that the performance index function can reach the optimum using the adaptive iteration. Finally the finite-horizon optimal control law can be obtained by the -iterative adaptive algorithm. The examples are given to demonstrate the effectiveness of the above methods.

KW - Adaptive dynamic programming(ADP)

KW - Finite time optimal control

KW - nonlinear system

KW - Saturating actuators

UR - http://www.scopus.com/inward/record.url?scp=84869464867&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869464867&partnerID=8YFLogxK

U2 - 10.1109/CONTROL.2012.6334606

DO - 10.1109/CONTROL.2012.6334606

M3 - Conference contribution

AN - SCOPUS:84869464867

SN - 9781467315609

T3 - Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012

SP - 58

EP - 63

BT - Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012

T2 - 2012 UKACC International Conference on Control, CONTROL 2012

Y2 - 3 September 2012 through 5 September 2012

ER -