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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.