Abstract

In this paper, the problem of robust H ∞ controller design for uncertain nonlinear systems with state and input time delays is considered. Firstly, for a class of uncertain nonlinear systems with constant delays, a set of sufficient conditions are given, which guarantee the closed-loop system is robust stable and has H ∞ performanceγ. Then, for a class of uncertain nonlinear systems with time delay, the controller is designed, and it is proved that the corresponding closed-loop system is robust stable and has H ∞ performance γ under certain appropriate conditions. Finally, a numerical example illustrates the effectiveness of the proposed method.

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