Fixed‐time control of nonlinear p‐normal systems under saturated threshold event‐triggered mechanism

Yang Liu, Yanting Meng, Hongjing Liang, Lijie Wang · International Journal of Robust and Nonlinear Control · 2022

Summary In this article, the saturated threshold event‐triggered (STET) adaptive fixed‐time control problem for a class of nonlinear ‐normal systems with external disturbances is studied. Firstly, a nonsingular fixed‐time controller is designed by adding one power integrator and a smoothing function. Compared with existing fixed‐time control schemes for nonlinear ‐normal systems, the upper bound estimation of settling time is more accurate. Second, an STET control strategy is introduced to reduce the communication burden. Moreover, the influence of external disturbances on the system is inhibited by performance. Through theoretical analysis, it is proved that all states in closed‐loop system converge to origin within a fixed‐time and the Zeno phenomenon is completely circumvented. Simulation results are finally provided to verify the effectiveness of the proposed method.

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