Digital variable structure control with pseudo-sliding modes

This chapter has reviewed the recent development of the theory of DVSC and developed a DVSC scheme which enables the elimination of zigzagging as well as the divergence from the switching hyperplane. The control strategy is as follows: outside a given neighbourhood of the switching hyperplane the conventional VSC structure SDVSC is used to force the system state to approach and/or cross the switching hyperplane, and within the neighbourhood the MSDVSC is used to eliminate the zigzagging. An algorithm to calculate the upper and lower bounds for SDVSC has been proposed. The upper and lower bounds are independent of the distance of the system state from the switching hyperplane. simulation results have been presented to show the effectiveness of the scheme developed.

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