Frequency domain analysis of noise‐induced control chattering in sliding mode controls

The switching sliding mode control is robust with respect to disturbances, but its control signal has the so‐called chattering phenomenon that can damage the actuator and the system. To remove the chattering phenomenon, it has been proposed that one can use a continuous boundary layer design to replace the switching control. This paper shows, via the frequency domain analysis, that even when a boundary layer design is used, stochastic measurement noise can still induce the chattering phenomenon in control signals. Such noise‐induced chattering is almost unavoidable in noisy environments when the control accuracy requirement is high. Copyright © 2010 John Wiley & Sons, Ltd.