Global regulation by output feedback for feedforward systems with time delays

Abstract

In this paper, an output feedback controller with logarithmic function is constructed to address the objective of global regulation for a class of feedforward nonlinear systems with time delays. Firstly, discrete delays and distributed delays are allowed in the input and output as well as states of the considered system. Secondly, compared to the conventional research contributions of state feedback regulation, not only the condition that the output signal is needed to design the control strategy become relaxed, but also the information about the discrete delays and distributed delays that need to be known is less. Finally, different from the existing research results, based on the time-varying gain technology and Lyapunov–Razumikhin theorem, the output feedback global regulation controller constructed here is more lucid in structure and more perfect in function. Two examples are presented to demonstrate the effectiveness of global regulation about the proposed approach for the considered system.