Fixed-Time Adaptive Fuzzy Control For Time-Varying Systems Based On Nominal

Abstract The fixed-time control for systems with timevarying parameters is investigated in this article. Different from the previous pure robust control, the proposed method is less conservative. Applying this method could avoid the existence of unknown time-varying parameter derivatives in control design. Combining with adaptive fuzzy control and projection operator, a novel singularity-avoidance virtual controller is constructed via backsteping. The proposed controller guarantees that the tracking errors converge to a user-defined precision within a prescribed fixed-time. Two examples are used to show that this method can achieve fixed time control even if the time-varying parameters are unknown and non-asymptotically constant.