Improved Successive Approximation Procedure for Optimal Control of Nonlinear Systems
Optimal control for a class of Lipschitz nonlinear systems with respect to linear quadratic cost functional is considered. An improved successive approximation procedure is proposed to enhance the performance of the closed loop system and accelerate the iteration steps. By introducing the Successive Approximation Approach (SAA) of the nonlinear differential equation theory,together with a modeling technique,a linear two-point boundary value (TPBV) problem sequence is constructed to approximate the nonlinear TPBV problem,which is the necessary condition of the nonlinear optimal control problem. By iteratively solving this approximating linear sequence,a linear feedback optimal control law with a nonlinear compensation term is designed.
SUN Liang DONG Rui LIU Chun-Lin
Department of Electrical Engineering and Information Technology,Shandong University of Science and T Henan Institute of Science and Technology,Xinxiang,453003,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）