Adaptive fuzzy memory fault‐tolerant control of non‐linear systems with partially known time‐varying delays

This studies the fuzzy‐approximation‐based adaptive memory fault‐tolerant control problem for a class of non‐linear time‐delay systems with non‐affine non‐linear delayed faults. The main advantages of the developed scheme are as follows: first, based on the partial information of time‐varying delays, the unknown delay terms are approximated by combing fuzzy logic systems and adaptive mechanisms, and then, based on the obtained delay estimates, a memory controller is constructed, which removes the restriction on delays and time‐delay functions due to the Krasovskii function in the existing results; second, non‐affine non‐linear delayed faults are initially considered, and this new technique combing the property of hyperbolic tangent function, implicit function theorem and mean value theorem is adopted to circumvent the algebraic loop problems in controller design. It is proved that the proposed controller can ensure that the closed‐loop system is semi‐globally bounded, and all entire state tracking errors converge to a priori known accuracy. Finally, a simulation example is included for validating the advantages of the proposed approach.