Adaptive Prescribed‐Time Control for Nonlinear Systems With Triggered States

The problem of adaptive prescribed‐time control for a class of nonlinear systems with uncertain parameters is studied under the condition of state‐triggered transmission. The intermittent state feedback mechanism leads to discontinuous states, which generates the problem about non‐differentiable virtual control signals. For this challenge, by introducing a prescribed‐time dynamic surface control (DSC), a novel adaptive prescribed‐time control strategy is presented. Also, a new event trigger condition is constructed to compensate for the triggering error. Based on the triggering mechanism and controller, the semi‐global stabilization can be guaranteed within a specified time, irrespective of the initial conditions or other designed parameters. The effectiveness of the proposed method is validated by theoretical analysis and numerical simulation.