Solving infinite horizon nonlinear optimal control problems using an extended modal series method

作     者：Amin JAJARMI Naser PARIZ Sohrab EFFATI Ali VAHIDIAN KAMYAD 

作者机构：Advanced Control and Nonlinear LaboratoryDepartment of Electrical EngineeringFerdowsi University of Mashhad Department of Applied MathematicsFaculty of Mathematical SciencesFerdowsi University of Mashhad 

出 版 物：《Journal of Zhejiang University-Science C(Computers and Electronics)》 (浙江大学学报C辑（计算机与电子（英文版）)

年 卷 期：2011年第12卷第8期

页      面：667-677页

核心收录：

学科分类：0810[工学-信息与通信工程] 0711[理学-系统科学] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Infinite horizon nonlinear optimal control problem Pontryagin’s maximum principle Two-point boundary value problem Extended modal series method 

摘      要：This paper presents a new approach for solving a class of infinite horizon nonlinear optimal control problems (OCPs).In this approach,a nonlinear two-point boundary value problem (TPBVP),derived from Pontryagin s maximum principle,is transformed into a sequence of linear time-invariant *** the latter problems in a recursive manner provides the optimal control law and the optimal trajectory in the form of uniformly convergent ***,to obtain the optimal solution,only the techniques for solving linear ordinary differential equations are *** efficient algorithm is also presented,which has low computational complexity and a fast convergence *** a few iterations are required to find an accurate enough suboptimal trajectory-control pair for the nonlinear *** results not only demonstrate the efficiency,simplicity,and high accuracy of the suggested approach,but also indicate its effectiveness in practical use.