Adaptive observation control for synchronization of coronary artery time-delay systems

Abstract

This paper investigates novel adaptive observation control for synchronization of uncertain chaotic coronary artery system (CCAS). Novel adaptive observers are developed to obtain the estimated system states of uncertain CCAS which has unknown parameters. By utilizing the adaptive observers and controller we proposed, the adaptation of unknown parameters has been achieved and the asymptotic stability of the synchronization error as well as the estimation errors are guaranteed. For the purpose of further reducing the conservatism, new Lyapunov Krasovskii functions (LKFs) which maintain more system states have been constructed in terms of Wirtinger-based inequality, a new double integral inequality and improved reciprocally convex inequality. Using [Formula: see text] control to ensure robust performance of CCAS which has unknown parameters and external disturbance. The adaptive observer gain matrices and controller gain matrix could be obtained by employing a decoupling approach. The effectiveness of this control methodology has been illustrated by a numerical simulation result.