Displacement tracking of uncertain nonlinear cardiovascular muscle using Lyapunov function with disturbance observer-based control Online publication date: Tue, 17-Jan-2023
by Soumyendu Bhattacharjee; Sourish Sanyal; Madhabi Ganguly; Aishwarya Banerjee; Biswarup Neogi
International Journal of Modelling, Identification and Control (IJMIC), Vol. 41, No. 4, 2022
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.
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