wseas-12116-20260930080353-cfa533 20260930080353352 wseas/wseas wseas.group@gmail.com WSEAS WSEAS Transactions on Applied and Theoretical Mechanics 1991-8747 2224-3429 12 02 2025 12 02 2025 21 Kishor Babu Gunti Department of Electrical and Electronics Engineering, Kallam Haranadhareddy Institute of Technology, Dasaripalem, Andhra Pradesh-522019, INDIA P. Kavitha Department of Electrical and Electronics Engineering, Kallam Haranadhareddy Institute of Technology, Dasaripalem, Andhra Pradesh-522019, INDIA Muni Reddy G. Department of Electrical and Electronics Engineering, Siddharth Institute of Engineering and Technology, Puttur, Andhra Pradesh, INDIA The paper is a research on flexible-joint robot manipulator robust tracking control and thermal management system for Electric Vehicles(EV), where the dynamical uncertainty is modeled and evaluated as an Initial Value Problem (IVP), done through the Singular Perturbation Method (SPM). SPM solution leads to two branches of solutions, (i) boundary-layer correction (BLC) solution reviving the initial conditions lost to suboptimal stability, and (ii) an outer series solution that improves the steady-state performance. In the case of the Initial Value Problem (IVP) under investigation, where a flexible-joint robot manipulator and EV are approximated to second order, numerical simulations are provided and contrasted on a case where all the parameters are non-zero and the opposite case where all parameters are zero. The findings are shown to prove the effectiveness of the proposed SPM framework in the case of a brushless DC motors which drives a three joint articulated flexible-joint robot manipulator and the applicability of the Peltier-effect heat pumps for the temperature regulation of an EV. 09 30 2026 09 30 2026 213 23 https://creativecommons.org/licenses/by/4.0/ 10.37394/232011.2026.21.23 https://wseas.com/journals/articles.php?id=12116 T. Westenbroek, X. Xiong, A. 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