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Adaptive Variable Universe of Discourse Fuzzy Sliding Mode Control

This paper proposes adaptive variable universe of discourse fuzzy sliding mode control for efficient compensation of unbounded disturbances and reduced chattering. Classical sliding mode control is robust to bounded uncertainties and disturbances. The disadvantages of classical sliding mode control are high frequency chattering and poor performance in case of unbounded disturbances. Chattering phenomena is minimized using adaptive fuzzy sliding mode control but fuzzy fixed universe of discourse makes it in-efficient for time varying unbounded disturbances and uncertainties. This article investigates a variable universe of discourse fuzzy logic system for unbounded disturbances. Fuzzy universe of discourse for membership functions of input and output parameters is tuned online using an adaptive empirical law derived from the error dynamics. Performance of proposed control is verified using extensive simulations.