Adaptive Output Feedback Control of Nonlinear Time-Delay Systems With Application to Chemical Reactor Systems

This paper considers the problem of global adaptive stabilization for strict feedback nonlinear systems with time delay and parameter uncertainty. By designing a delay-independent reduced-order observer with two dynamic gains, we propose a universal adaptive control strategy to reduce the conservatism of the growth conditions imposed on nonlinearities. With the help of Lyapunov-Krasovskii functionals, stability analysis is subtly conducted. Finally, the proposed controller is applied to a chemical reactor system to illustrate the usefulness of our results.