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Robust output regulation of a class of non-minimum phase nonlinear systems. (Chinese. English summary) Zbl 1265.93079

Summary: In this paper, the global robust output regulation for a class of non-minimum phase nonlinear systems is studied. Firstly, a nonlinear internal model is designed by using the immersion system. Secondly, the global robust output regulation of the original systems is converted into a global robust stabilization problem for an augmented system. Then, based on the techniques from changing supply function and dynamic gain, a state feedback control is given such that the solutions of the closed loop system exist and are bounded, and the tracking error tends to zero. Finally, simulation result is presented to show the effectiveness of the proposed control law.

MSC:

93B35 Sensitivity (robustness)
93C10 Nonlinear systems in control theory
93D21 Adaptive or robust stabilization
93B52 Feedback control