OPTIMAL FEEDBACK CONTROL OF TRAVELING WAVE IN A PIECEWISE LINEAR FITZHUGH–NAGUMO MODEL
In a previous study [Konishi, Takeuchi, Shimizu, Chaos 2011], the authors proposed a simple systematic design procedure that employed periodic impulsive and time-continuous feedback forces to eliminate traveling waves in a piecewise linear FitzHugh–Nagumo (FHN) model. As the previous study used only the integral control method in classical control theory, it was not easy to specify the system performance. Therefore, the present paper introduces an optimal control method in modern control theory that can specify the system performance. Furthermore, we show that the designed force is valid not only for the piecewise linear function but also for a class of smooth nonlinear FHN models.
CYBERNETICS AND PHYSICS, VOL. 1, NO. 1, 2012, 73-77.