New chaotic attractors and sliding mode control of rigid-body rotation dynamical system

Several new chaotic attractors were found from the Euler's dynamical equation which describes the rotation motion of a perturbed rigid body. Proposed new chaotic attractors not only include double-core chaotic attractors, like as Lorenz (Chen, Lu, and Leipnik-Newton) attractors, but also single-core chaotic attractors like as Rössler attractor. A sliding mode control method with input nonlinearity is applied to this class of chaotic dynamical system to suppress the chaos and regulate the state trajectory of this system to the given fixed point.