Applying control theory in engineering using dynamical systems methods

Selvan, Chithirai Pon; Shrivastava, Abhinav; Ramaswamy, Swaroop; Shipra, Kumari; Ashirova, Anorgul; Satone, Kalyani; Naidu, S. Mohan Mahalakshmi

doi:10.47974/JIM-2497

Open Access Research Article

Applying control theory in engineering using dynamical systems methods

Chithirai Pon Selvanpon.selvan@curtindubai.ac.aeSchool of Science and Engineering Curtin University DubaiDubai, 345031, United Arab EmiratesView full profile → , ^*Abhinav ShrivastavaCorresponding authorabhinav.shrivastava@symlaw.ac.forSymbiosis Centre for Advanced Legal Studies and Research (SCALSAR) Symbiosis Law School Pune (SLS-P) Symbiosis International (Deemed University)Symbiosis Centre for Advanced Legal Studies and Research Symbiosis Law School Pune (SLS-P) Symbiosis International (Deemed University) Pune, Maharashtra, 411014, IndiaView full profile → , Swaroop Ramaswamyspillai@amityuniversity.aDepartment of Electrical Engineering Amity University DubaiDepartment of Electrical Engineering Amity UniversityDubai, 345019, U.A.E.View full profile → , Kumari Shiprakumari.shipra@niu.edu.inSchool of Engineering & Technology Noida International UniversityDepartment of School of Engineering & Technology Noida International UniversityGreater Noida, Uttar Pradesh, 203201, IndiaView full profile → , Anorgul Ashirovaashirova_anorgul@mamunedu.uzDepartment of General Professional Sciences Mamun UniversityGeneral Professional Sciences Mamun University Pune, Khiva, 220900, Uzbekistan0000-0002-3399-7527View full profile → , Kalyani Satoneksatone@stvincentngp.edu.inDepartment of Computer Science & Engineering (Data Science) St. Vincent Pallotti College of Engineering & TechnologyNagpur, Maharashtra, 441108, IndiaView full profile → , S. Mohan Mahalakshmi Naidumohans@isquareit.edu.inDepartment of Electronics & Telecommunication International Institute of Information Technology (I²IT)Pune, Maharashtra, 411057, IndiaView full profile →

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pp. 627–635Vol. 29Issue 3March 2026DOI: 10.47974/JIM-2497XML

Received:: 01 Apr 2025
Published Online:: 18 Mar 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2497
Pages:: 627–635

Abstract

The control theory has significant applications in engineering since it provides us with structured approaches to examine and design nonlinear systems that are functional and remain stable. It is based on the dynamical systems and examines the manner in which the control theory can be applied in various engineering fields. Such methods of control as feedback, state-space and optimal control are developed to ensure that systems continue to run smoothly in cases where there is an unknown or an issue. They rely on modeling the dynamics of the processes happening in the world as a mathematical dynamic system. The paper discusses the improvements in both linear and nonlinear control processes and their effectiveness by giving real-life engineering examples in robotics, aircraft, and process control. Reliability, stable analysis and designing controllers using the current computer programs are given much attention.

Keywords

Control theory Dynamical systems Feedback control Stability analysis Engineering applications

Subject Classifications

13P25

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