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A stability study of the active disturbance rejection control problem by a singular perturbation approach. (English) Zbl 1183.93097

Summary: We study the stability characteristic of the active disturbance rejection control for a nonlinear, time-varying plant. To this end, the closed-loop system is reformulated in a form that allows the singular perturbation method to be applied. Since singular perturbation approach enables the decomposition of the original system into a relatively slow subsystem and a relatively fast subsystem, the composite Lyapunov function method is used to determine the stability properties of the decomposed subsystems. Our result shows that the system is exponentially stable, upon which a lower bound for the observer bandwidth is established.

MSC:

93C73 Perturbations in control/observation systems
93D09 Robust stability
93C15 Control/observation systems governed by ordinary differential equations
93C95 Application models in control theory
93C10 Nonlinear systems in control theory
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