Abstract
The issue of H∞ control for the coronary artery input time-delay system with external disturbance is of concern. To further reduce conservation, we utilize the free-matrix-based integral inequality, Wirtinger-based integral inequality, and reciprocal convex combination approach to construct Lyapunov-Krasovskii function (LKF). Then a sufficient condition for controller design which can guarantee robust synchronization the coronary artery system is represented in terms of linear matrix inequality (LMI). Finally, a numerical example is exploited to show the effectiveness of the proposed methods.
Highlights
As we all know, nonlinear dynamical systems have gotten increasing attraction in various fields researches [1,2,3,4]
Nonlinear systems combined with biological engineering have become a hot issue
In [12], to further lower the effect of external uncertainties, a chaos suppression controller was designed by sliding mode control to drive chaotic coronary artery system into the normal orbit, which can effectively reduce the probability of angina disease
Summary
Nonlinear dynamical systems have gotten increasing attraction in various fields researches [1,2,3,4]. Freematric-based integral inequality [24] had a wide application in stability analysis of time-delay systems due to its less conservatism than the above proposed inequality [21,22,23]. A state feedback controller subjecting to input time-delay is designed to guarantee asymptotical convergence to zero for the error system and reduce the effect of external disturbance to a prescribed H∞ performance level. It means that the abnormal chaotic behavior of a coronary artery system is suppressed to a normal periodic orbit, which effectively relieves or eliminates angina symptoms. Rn denotes n-dimensional Euclid space. ‖ ⋅ ‖ is the vector Euclid norm. ∗ is a diagonal of a symmetric matric. sym{Y} indicates Y + YT
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