Global continuous output-feedback stabilization for a class of high-order nonlinear systems with multiple time delays. (English) Zbl 1294.93070
Summary: This paper addresses the global output-feedback stabilization for a class of high-order nonlinear systems with multiple time delays. A distinct property of the systems to be investigated is that powers on the upper bound restrictions of nonlinearities are allowed to take values on a continuous interval, another remarkable one rests with the existence of multiple time delays in growth conditions. By introducing a combined method of sign function, homogeneous domination and adding a power integrator, an output-feedback controller based on Lyapunov-Krasovskii theorem is designed recursively to guarantee the equilibrium of the closed-loop system globally uniformly asymptotically stable.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93C10 | Nonlinear systems in control theory |
| 93D20 | Asymptotic stability in control theory |
Keywords:
global output-feedback stabilization; high-order nonlinear systems with multiple time delays; uniformly asymptotic stabilityReferences:
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