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This paper studies the global regulation problem for a class of nonlinear polynomial systems subject to both dynamic uncertainty and static uncertainty. The dynamic uncertainty does not vanish at the origin of the state space and thus is not input-to-state stable (ISS). As a result, the small gain theory based robust control technique alone cannot handle this problem. We manage to integrate both robust...
In this paper, we study the global robust output regulation for a class of weakly minimum phase nonlinear systems. By employing the internal model design technique, we first convert the problem into a global robust stabilization problem of an augmented system whose structure has not been encountered before. Then we develop a methodology to solve this stabilization problem via state feedback, by utilizing...
In this paper, we study the global robust synchronization problem of the controlled Duffing system and the Van der Pol oscillator. By employing the internal model approach, we first show that the problem can be converted into a global robust stabilization problem of a time-varying nonlinear system in lower triangular form. Then we show that the global stabilization problem of the lower triangular...
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