International Journal of Robust and Nonlinear Control · 2007 · 44 citations · 17 references
EngineeringMathematicsSystems EngineeringDynamical SystemsProcess ControlSystem DynamicsControl Of Dynamical SystemsControl SystemsControl TheoryFeedback ControlNonlinear ControlRobust ControlAsymptotic StabilityInternal DynamicsLocal StabilityNonlinear ObserversObserver DesignObserver Design For Nonlinear SystemsSliding Mode ControlState Observer Design
Abstract Asymptotic output tracking in a class of causal nonminimum‐phase uncertain nonlinear systems is addressed via higher‐order sliding modes (HOSMs). Local asymptotic stability of the output‐tracking error dynamics is provided. An output reference profile and an external disturbance forcing the internal dynamics are defined by an unknown linear exosystem. Its characteristic polynomial (which is used in the output‐tracking control algorithm) is identified online by using a HOSM parameter observer. A numerical example illustrates efficiency of the developed HOSM control algorithm. Copyright © 2007 John Wiley & Sons, Ltd.
17
The internal model principle of control theory
Bruce A. Francis, W.M. Wonham · Automatica · 1976 · 2.8K citations
Robust exact differentiation via sliding mode technique
Arie Levant · Automatica · 1998 · 2.2K citations
Output regulation of nonlinear systems
Alberto Isidori, C.I. Byrnes · IEEE Transactions on Automatic Control · 1990 · 1.6K citations