Original scientific paper

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

Mohammad Shirazian ; Department of Mathematics, University of Neyshabur, Khorasan Razavi, Iran

Abstract

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.

Keywords

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

Hrčak ID:

303396

URI

https://hrcak.srce.hr/303396

Publication date:

2.6.2023.

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