Observer-Based Output-Feedback Control for Nonlinear Time-Delay Systems

In this article, the output feedback control design problem for a class of strict-feedback nonlinear systems with unknown state time-varying delays is addressed. Two output feedback control schemes are considered which are based on full-order and reduced-order observer, respectively. Lyapunov-Krasovskii functionals with static gain are used to develop novel memoryless control strategies. The above work ensures that all the signals in the closed-loop system are bounded and the system is asymptotically stable. Finally, two simulation examples illustrate the effectiveness of the two control schemes we proposed.

Automated summary

This article addresses the problem of output feedback control design for a class of strict-feedback nonlinear systems with unknown state time-varying delays. Two output feedback control schemes based on full-order and reduced-order observers are considered. Novel memoryless control strategies are developed using Lyapunov-Krasovskii functionals with static gain. The work ensures boundedness of all the signals in the closed-loop system and asymptotic stability of the system. Finally, two simulation examples illustrate the effectiveness of the proposed control schemes.