Hopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode control

Having found hidden hyperchaos in a 5D self-exciting homopolar disc dynamo, we study the existence of Hopf bifurcation, which leads to unstable limit cycles bifurcating from stable equilibrium. Hidden chaos with only equilibria can be observed bifurcation: typical way enable attractors located. We then provide new fuzzy controller, and fast disturbance observer, based on terminal sliding mode control for synchronization hyperchaotic system. Fuzzy inference is considered weaken chattering phenomena. Using Lyapunov stability theory, closed-loop system proved. Finally, simulations are illustrated show efficient performance designed method via external disturbances dynamic uncertainties.