TY - JOUR
T1 - A Stability Study of the Active Disturbance Rejection Control Problem by a Singular Perturbation Approach
AU - Zhou, Wankun
AU - Shao, Sally S. L.
AU - Gao, Zhiqiang
N1 - Wankun Zhou, Sally S. L. Shao Zhiqiang Gao. (2009). A Stability Study of the Active Disturbance Rejection Control Problem by a Singular Perturbation Approach. Applied Mathematical Sciences, 3(10), 491-508
PY - 2009/1/1
Y1 - 2009/1/1
N2 - 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.
AB - 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.
KW - active disturbance rejection control
KW - singular perturbation
KW - exponential stability
UR - https://engagedscholarship.csuohio.edu/scimath_facpub/43
UR - http://www.m-hikari.com/ams/ams-password-2009/ams-password9-12-2009/index.html
M3 - Article
VL - 3
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
ER -