Sliding mode control of hyperchaos in Rössler systems

In this paper, an extended sliding mode controller is applied to control a hyperchaotic motion in Rössler system. The sliding surface of this paper used is one dimension higher than traditional sliding surface and guarantees it passing through the activated initial states of controlled system. Therefore, using the characteristic of this sliding mode to design a controller not only can meet the desired specification but also without chattering phenomenon and abrupt state change. By comparing with the result in the existed literatures, the results show that the proposed controller can steer Rössler system to the desired state accurately. It also provides a good characteristic for disturbance rejection.