Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique

Abstract

This article examines the fuzzy adaptive design and the sliding mode control issue for a class of quantized systems subject to input nonlinearities. We establish a new quantized adaptive fuzzy law to approximate unstructured uncertainties, which uses quantized state signals instead of the real states. Then, we propose using the sliding mode control method with static logarithmic quantizer to eliminate the effects of input nonlinearities. Using the developed control scheme, quantized errors are compensated efficiently, and the designed sliding surface's reachability can be ascertained. Finally, we give a demonstrative example to verify the advantages and efficiency of the developed control approach.