Abstract
The H∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay is investigated in this paper. By considering the quadratic inner-bounded requirement and the one-sided Lipschitz condition concurrently and employing a class of relaxed integral inequalities, the H∞ observer for nominal Lipschitz systems is designed firstly. Then, the results are extended to the one-sided Lipschitz systems with norm-bounded uncertainties. Finally, the proposed results are demonstrated via two simulation examples.
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