Fractional order compensator of slide mode for delay control system with uncertain parameters

Based on the theory of fractional order differential equation, a fractional order integral compensator of slide mode control(SMC) with its design method are presented for control of time delay system. The specify memory characteristic of fractional calculus is used to improve the dynamic performance for SMC. A simulation example is given and its results show the new kind of compensator has the effect on relaxing of the chattering problem.