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In this paper, a nonlinear H∞ control is developed for active mass damper systems subject to external perturbation. This robust controller is composed by the sum of a linear term plus a chattering component. The linear term is designed using linear matrix inequality (LMI) theory. Then, the chattering term is added to improve controller performance. Lyapunov theory is invoked to validate our control...
The paper addresses the problem of designing a robust fault detection filter (RFDF) for a class of nonlinear descriptor systems whose nonlinear term are globally Lipschitz and linear term described by a linear parameter varying (LPV) form. The influence of perturbations on the residuals is minimized using the H∞ norm while the sensitivity performance is guaranteed using the H∞ index. Based on the...
In this paper, the problem of robust synchronization and fault detection for a class of master-slave systems subjected to some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated based on an H∞ performance condition. By introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions...
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