Full state-constrained finite time control of non-strict feedback interconnected systems with dead zones based on backstepping

A backstepping-based full state-constrained finite-time control method is designed for non-strict feedback interconnected systems with dead-zone nonlinearities. The innovation of our research lies in the utilization of the Barrier Lyapunov Function (BLF) in backstepping, which ensures that all the states errors are bounded and converge in finite time. The estimation of the nostrict feedback coupling term of the resulting dead zones is performed using a high-order sliding mode differentiator, and all of the outputs of the differentiator are integrated into the backstepping procedure based on BLF. Finally, the effectiveness of the proposed scheme is confirmed through simulation results.