Stabilizing Unstable Equilibrium Point of Hyperchaotic Lorenz System

摘要

Some basic properties of the hyperchaotic Lorenz system were analyzed, and the state feedback control methods were introduced for stabilizing unstable equilibrium point of the hyperchaotic system. The feedback controllers utilized the speed and hyperbolic function, respectively. Based on Routh-Hurwitz theorem, the span of the feedback coefficients was derived. Numerical simulations are given for illustration and verification. These methods are robust against system parametric variations, and can strongly reject external constant disturbances.