×

Output feedback control synthesis for non-linear time-delay systems using a sliding-mode observer. (English) Zbl 1303.93060

Summary: A class of nonlinear time-varying delay systems with nonlinear uncertainties is considered, where the input is distributed to the system nonlinearly. A sliding-mode observer is designed by constructively utilizing the structure of the uncertainties. The sliding motion associated with the error dynamics is uniformly asymptotically stable and insensitive to the uncertainties. Then, based on the observer, a non-linear discontinuous control scheme is synthesized to stabilize the system uniformly asymptotically. The Lyapunov-Razumikhin approach is used to deal with the time delay. Both the bound on the uncertainty and the known nonlinear term are fully used in the observer and controller design to reduce conservatism. A numerical example is given to illustrate the proposed approach. Simulation results demonstrate the efficiency of the obtained results.

MSC:

93B12 Variable structure systems
93B50 Synthesis problems
93D20 Asymptotic stability in control theory
93C10 Nonlinear systems in control theory
Full Text: DOI