Event‐triggered adaptive tracking control for uncertain fractional‐order nonstrict‐feedback nonlinear systems via command filtering

Abstract

Abstract This article puts forward an event‐triggered adaptive neural tracking control strategy for a class of uncertain fractional‐order nonstrict‐feedback nonlinear systems with full‐state constraints and dead‐zone inputs. The proposed control strategy is capable of surmounting an inherent shortcoming in most traditional backstepping control approaches which results from the repeated differentiation of virtual control functions, and enhancing the transmission efficiency of control signals by introducing an event‐triggered mechanism with a dynamic threshold condition. Furthermore, by constructing a novel barrier Lyapunov function in each step of the backstepping procedure, the design difficulty arising from the system state constraints issue under fractional‐order cases is resolved. It is strictly proved that the tracking error can converge into a desired small neighborhood of the origin and all signals in the closed‐loop system are bounded. Finally, a simulation example is given to verify the effectiveness of our proposed control strategy.