Global uniform finite-time output feedback stabilization for disturbed nonlinear uncertain systems: backstepping-like observer and nonseparation principle design. (English) Zbl 07865501
Summary: This paper investigates the problem of global uniform finite-time output feedback stabilization for a class of generalized disturbed high-order nonlinear uncertain systems. The presence of nonlinear uncertainties and unknown disturbances makes it challenging to design a state observer and an output feedback controller. To address this problem, a new technique of output feedback design is proposed. Firstly, based on a backstepping-like method, a finite-time extended state observer (FT-ESO) is constructed to estimate the unmeasured states and unknown disturbances of the system. Then, utilizing the nonseparation principle and disturbance-estimation-compensation method, a continuous output-based finite-time active anti-disturbance control (FT-AADC) method is developed by integrating the finite-time state feedback controller with the proposed FT-ESO. The global uniform finite-time stability of the entire observer-control system is proven using Lyapunov theory. Simulation results are provided to demonstrate the effectiveness of the proposed method.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93D40 | Finite-time stability |
| 93C10 | Nonlinear systems in control theory |
| 93C73 | Perturbations in control/observation systems |
| 93B53 | Observers |
Keywords:
finite-time control; output feedback and observer; nonlinear system; uncertain nonlinearities; unknown disturbancesReferences:
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