An iterative Legendre pseudospectral method for suboptimal control of nonlinear control affine systems

Mathematical Communications

article

Mohammad Shirazian¹ 

[1] Department of Mathematics, University of Neyshabur

关键词: Optimal control problem;    Successive approximation method;    Legendre pseudospectral method;    Pontryagin's maximum principle;    Rate of convergence;   

学科分类：工程和技术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

The objective of this paper is to present a novel method to design a suboptimal controller for nonlinear control affine systems. The proposed method is a combination of a successive approximation method (SAM) and a Legendre pseudospectral method, for solving the extreme conditions derived from Pontryagin's maximum principle (PMP). The convergence theorem and the superlinear rate of convergence for this method are presented. Some numerical examples are included to demonstrate the accuracy, efficiency, and reliability of the proposed method.

【 授权许可】

CC BY-NC-ND