A generalized approach for Lyapunov design of sliding mode controllers for motion control applications

In the application of sliding mode controllers, the main problems that are encountered are chattering and computational power required for the calculation of equivalent control. In this paper, novel approaches for the design of SMC based on the selection of a Lyapunov function are proposed for motion control applications that evade these problems and are easily implementable. A general criterion is established for stability and chattering elimination. Two novel schemes are proposed for the estimation of the equivalent control to avoid the computational burden. Simulation studies carried out on a direct drive arm indicate that the proposed approaches are a good candidate for motion control applications.