Optimal Control for Nonlinear Interconnected Large-scale Systems: A Successive Approximation Approach  

作　　者：唐功友 孙亮 

机构地区：[1]CollegeofInformationScienceandEngineering,OceanUniversityofChina,Qingao266071

出　　处：《自动化学报》2005年第2期248-254,共7页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of P. R. China (60074001)the Natural Science Foundation of Shandong Province (Y2000G02)

摘　　要：The optimal control problem for nonlinear interconnected large-scale dynamic systems is considered. A successive approximation approach for designing the optimal controller is proposed with respect to quadratic performance indexes. By using the approach, the high order, coupling,nonlinear two-point boundary value (TPBV) problem is transformed into a sequence of linear decoupling TPBV problems. It is proven that the TPBV problem sequence uniformly converges to the optimal control for nonlinear interconnected large-scale systems. A suboptimal control law is obtained by using a finite iterative result of the optimal control sequence.The optimal control problem for nonlinear interconnected large-scale dynamic systems is considered. A successive approximation approach for designing the optimal controller is proposed with respect to quadratic performance indexes. By using the approach, the high order, coupling, nonlinear two-point boundary value (TPBV) problem is transformed into a sequence of linear decoupling TPBV problems. It is proven that the TPBV problem sequence uniformly converges to the optimal control for nonlinear interconnected large-scale systems. A suboptimal control law is obtained by using a finite iterative result of the optimal control sequence.

关 键 词：非线性 互联大系统 最优控制 逐次逼近法 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置]