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Finite-time passive filtering for a class of uncertain Lipschitz nonlinear systems

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The finite-time passive filtering for a class of nonlinear systems with uncertainties is considered。 The nonlinear parameters are assumed to satisfy Lipschitz conditions。 An optimal robust passive filter with respect to the finite-time interval is designed while the exogenous disturbances are unknown but norm bounded。 Based on passivity theory and finite-time stability theory, the sufficient condition for the existence of finite-time robust passive filter is given by constructing appropriate Lyapunov function。 And then, applying linear matrix inequalities techniques, the design method of the finite-time optimal passive filter is derived and can be obtained in the form of linear matrix inequalities。 Finally, simulation results illustrate the effectiveness of the developed approaches。

Finite-Time boundednessLipschitz ConditionsRobust Passive FilterUncertain Nonlinear Systems

Song, Jun、He, Shuping

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College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China|c|

Chinese Control Conference

Xi'an(CN)

32nd Chinese Control Conference

369-374

2013