Tracking control of chaotic coronary artery system

Abstract

The tracking control problem of chaotic coronary artery systems with dynamic uncertainties and unknown parameters is addressed. The unknown system parameters are adaptively identified, and the exogenous disturbances are attenuated by Nussbaum-type functions based on a backstepping method. The developed adaptive robust controller guarantees that the closed-loop system is globally and uniformly bounded, and the tracking error is convergent to a small neighbourhood of zero. In addition, the desired performance can be achieved by an appropriate choice of the design parameters of the controller, and the singular problem can be avoided. Simulation results demonstrate that the developed adaptive nonlinear tracking controller can drive the output of a chaotic coronary artery system into the normal orbit with good robustness and adaptability.

Keywords:

• backstepping technique
• Nussbaum gain
• chaotic system
• coronary artery

Acknowledgements

This work was supported in part by the K.C. Wong Magna Fund in Ningbo University, K.C. Wong Education Foundation, Hong Kong, SRF for ROCS, SEM, the NSF of Zhejiang Province (Grant No. Y107010), the NSF of Ningbo City under Grant 2008A610019. The author is grateful to Prof. Peter X. Liu and anonymous referees for their constructive comments on this article.