Abstract: The application of the parameter switching algorithm (PSA)-a new chaos control algorithm-into fractional order chaotic systems brings a stable attractor that maintains the dynamical stability of systems. The PSA works by switching controllable parameters in a given range within a short period. The attractor obtained from this method has been proven to reflect the digital approximations of global chaotic attractors and to match those of average attractors as well. Simulation results show that the PAS is robust, nondestructive, and able to realize chaos control.