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Zbl 1183.93097
Zhou, Wankun; Shao, S.; Gao, Zhiqiang
A stability study of the active disturbance rejection control problem by a singular perturbation approach. (English)
[J] Appl. Math. Sci., Ruse 3, No. 9-12, 491-508 (2009). ISSN 1312-885X; ISSN 1314-7552/e

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 2000:: *93C73 Perturbations in control systems
93D09 Robust stability of control systems
93C15 Control systems governed by ODE
93C95 Appl. of control theory
93C10 Nonlinear control systems

Keywords: active disturbance rejection control; singular perturbation; exponential stability

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