Globally exponential stabilization for a class of nonlinear systems with time delays both in nonlinearities and input. (English) Zbl 1428.93086
Summary: This paper stabilizes a class of nonlinear systems with lower-triangular structure and different time delays at exponential convergence rate via output feedback domination method. An explicit construction for the output feedback stabilizer guaranteeing the globally exponential stabilization of the system is proposed, in which a scaling gain is introduced and can be designed to dominate the nonlinearities. We then analyze the exponential stability of the system via constructing a Lyapunov functional, and result in some constraints subject to the scaling gain and time-delays. Note that it is the first time to analyze the effects from time delays on the stability of lower-triangular systems. Two simulation results are provided to support the theoretical developments.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93C40 | Adaptive control/observation systems |
| 34H15 | Stabilization of solutions to ordinary differential equations |
| 34K20 | Stability theory of functional-differential equations |
Keywords:
globally exponential stabilization; output feedback domination method; nonlinear systems; time delaysReferences:
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