Consistency and Feasibility of Haar Wavelet Collocation Method for a Nonlinear Optimal Control Problem with Application-Reference-Cited by-同舟云学术

Consistency and Feasibility of Haar Wavelet Collocation Method for a Nonlinear Optimal Control Problem with Application

Published:2023-12-31 Issue: Volume:18 Page:652-662
ISSN:2224-2856
Container-title:WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
language:en
Short-container-title:

Author:

Madankar Saurabh R.¹,Setia Amit¹,M. Muniyasamy²,Agarwal Ravi P.³

Affiliation:

1. Department of Mathematics, BITS Pilani K K Birla Goa Campus, Zuarinagar, Goa-403726 INDIA

2. Department of Mathematical and Computational Sciences, NITK, Surathkal, Karnataka-575025 INDIA

3. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Texas 78363-8202, USA

Abstract

Haar wavelet-based numerical algorithms have recently been developed for various mathematical problems, including optimal control problems. However, no numerical algorithm is complete without its theoretical analysis. In this paper, we have shown the consistency and feasibility of the Haar wavelet-based collocation method for solving nonlinear optimal control problems that have a single state and a single control variable with constraints. The accuracy of the method has been shown through some application problems.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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