Title: Displacement tracking of uncertain nonlinear cardiovascular muscle using Lyapunov function with disturbance observer-based control

Authors: Soumyendu Bhattacharjee; Sourish Sanyal; Madhabi Ganguly; Aishwarya Banerjee; Biswarup Neogi

Addresses: Department of Electronics and Communication Engineering, Bacus Institute of Engineering and Management, India ' Department of ECE, Cooch Behar Government Engineering College, India ' Department of Electronics, West Bengal State University, India ' Cognizant Technology Solutions, SDF More, Sector 5, Kolkata 700091, India ' Department of ECE, JIS College of Engineering and Management, India

Abstract: The nonlinear behaviour of the human cardiovascular muscle is examined in this work through simulation. Non-zero reaction time of the proposed design includes the dead zone nonlinearity while saturation type nonlinearity comes after some linear region. When a force is applied to the cardiovascular muscle, an uncertain displacement is observed due to the nonlinear nature which is analysed using robust control theory. The stability is investigated using 'Lyapunov stability theory' along with observer based control system. A nonlinear controller has also been designed in the absence of uncertainty and any other disturbances to track the displacement of muscle dynamics. To achieve desired tracking performances, stability analysis has successfully been done using appropriate simulation that ensures the reliability of the proposed nonlinear model.

Keywords: DOBC approach; Lyapunov stability; nonlinearity; robust control design; uncertainty.

DOI: 10.1504/IJMIC.2022.128313

International Journal of Modelling, Identification and Control, 2022 Vol.41 No.4, pp.295 - 305

Received: 10 Aug 2021
Accepted: 16 Jan 2022
Published online: 17 Jan 2023 *

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