Robust H∞ filtering for neutral jump system with time-delays and uncertainties

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The problem of robust H∞ filtering for a class of neutral jump systems with time-delay and normbounded uncertainties is considered. By re-constructing the system, the dynamics of overall augmented error systems is obtained which involves unknown inputs represented by disturbances, model uncertainties and timedelays. As to the nominal system, sufficient conditions axe provided for the existence of the mode-dependent H∞ filter bY selecting the appropriate Lyapunov-Krasovskii function and the robust H∞ filter is proposed for the jump system while considering the time-delays and uncertainties. Both of above conditions for the existence of the H∞ filter and roust H∞ filter are presented in terms of linear matrix inequalities, and convex optimization problems are formulated to design the desired filters. By employing the proposed mode-dependent H∞ filter, the systems have the stochastic stability and better ability of restraining disturbances stochastically, and the given prescribed H∞ performance is guaranteed. Simulation results illustrate the effectiveness of developed techniques.
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