H _∞ synchronization of the coronary artery system with input time-varying delay

Abstract

This paper investigates the H ∞ synchronization of the coronary artery system with input delay and disturbance. We focus on reducing the conservatism of existing synchronization strategies. Base on the triple integral forms of the Lyapunov-Krasovskii functional (LKF), we utilize single and double integral forms of Wirtinger-based inequality to guarantee that the synchronization feedback controller has good performance against time-varying delay and external disturbance. The effectiveness of our strategy can be exhibited by simulations under the different time-varying delays and different disturbances.

Self-tuning Integral-type Finite-time-stabilized Sliding Mode Control for State Synchronization of Coronary Artery Systems

“…After the start of control at t = 10, the two state variables tend to synchronize despite the presence of system uncertainties and external disturbances. Compared with past works, (1,(11)(12)(13)(14)17,23) where the chaotic synchronization between two CASs with parameters in the same parameter set was studied, the present work shows that the state synchronization between two chaotic CASs with parameters belonging to different parameter sets can be achieved using the introduced scheme.…”

“…In the previous works on state synchronization between two chaotic CASs, it was assumed that the two CASs had parameters belonging to the same parameter set for a chaotic system. (1,(11)(12)(13)(14)17,23) There are two parameter sets for chaotic CASs in the literature, (12,13) which must be included in the aforementioned formulation of the control problem.…”

“…In the previous works on state synchronization between two chaotic CASs, it was assumed that the two CASs were chaotic systems with parameters belonging to the same parameter set. (1,(11)(12)(13)(14)17,23) In this paper, the control problem of state synchronization between two chaotic CASs whose parameters belong to different parameter sets is discussed. Solving this control problem is not only more practically applicable but also more complicated.…”

Synchronization Control Design Based on Wirtinger Inequality for Uncertain Coronary Artery Time-Delay System With Input Saturation

“…Assumption 2: Based on the zero initial condition, the error system (5) satisfies the H ∞ performance index [21] T 0 e T (t)e(t)dt ≤ γ 2…”

“…As many other systems, the CACS has time-delay, and it is often the sources of instability and performance degradation. To solve the problem, the literature [21] put forward the state feedback controller of the CACS with input time-varying delay and external disturbances. In order to reduce conservatism, the literature [22] accomplished the synchronization control of uncertain CACS under interval time-varying delay through delay-partitioning method.…”