Zhou, Wankun; Shao, S.; Gao, Zhiqiang A stability study of the active disturbance rejection control problem by a singular perturbation approach. (English) Zbl 1183.93097 Appl. Math. Sci., Ruse 3, No. 9-12, 491-508 (2009). 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. Cited in 8 Documents 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 Keywords:active disturbance rejection control; singular perturbation; exponential stability PDFBibTeX XMLCite \textit{W. Zhou} et al., Appl. Math. Sci., Ruse 3, No. 9--12, 491--508 (2009; Zbl 1183.93097) Full Text: Link