Chaotic analysis of the human brain cortical model and robust control of epileptic seizures using sliding mode control

Abstract

In this paper, chaotic analysis of the human brain cortical model is presented. Based on these analysis, controlling of epileptic seizures, using a robust control method is considered. To this end we have utilized the mathematical model of cortical tissue activity. Chaotic behavior of this model is investigated through variations of pathological parameters. Utilization of two chaotic criteria known as entropy and largest Lyapunov exponents allowed us to monitor the chaotic behavior of the model during the reasearch. Moreover, both conniption and ending time of seizures are determined using chaotic analysis. The sliding mode method is used to design a robust controller with the purpose of controlling the seizures. The effectivness of the proposed method is shown via analysis and simulation results. Previous approches on controlling seazires did not considered robustness against the uncertainties. This problem is addressd here through designing a controller which is robust against system uncertainties. In addition to the guaranted finite time control of the seizures, consideration of the practical medical limitations for the control signal is another advantage of the proposed method.