Co-design of memorized controllers for global sampled-data stabilization a class of nonlinear system with input delay

Global sampled-data stabilization for a class of nonlinear continuous system with input delay has been investigated directly in the discrete-time domain due to challenges confronted in dealing with infinite-dimensional system under input delay. Memorized state feedback controllers and output feedback controllers based on dynamic extension of state space have been constructed within the framework of co-design between sampling period and scaling gain. Upon this compensation scheme, global sampled-data stabilization a class of nonlinear system has been successfully realized no matter the input delay is smaller than the sampling period or not. Compared with memory-less sampled-data controllers, not only sampled-data stabilization under large input delay has been realized but also transient performance of closed-loop system has been further improved. Simulation results under different input delays and sampling periods have illustrated the effectiveness of results obtained.