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This paper addresses a robust H∞ filter design problem for nonlinear systems with time-varying delay through TakagiSugeno (T-S) fuzzy model approach. Firstly, by introducing free-weighting matrix method combined with a matrix decoupling approach and adopting an improved integral inequality method without ignoring any integral term, less conservative results are achieved. Next, based on the model, new delay-dependent sufficient conditions are derived, which are less conservative than the existing ones via solving the linear matrix inequalities (LMIs). Lastly, simulations show a significant improvement over the previous results.

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In this paper, the non-fragile containment control problem for linear multi-agent systems (MASs) with exogenous disturbance is investigated. The communication links among agents are constructed by a set of arbitrarily fast switching and directed topologies. First, there always exist uncertainties in the controller and observer gain matrices, a new class of distributed non-fragile disturbance observer-based controller is proposed to address such a problem with disturbance rejection under switching topologies. By making use of matrix transformation and Lyapunov theory, the containment control problem of MASs is converted into the asymptotic stability analysis problem of some containment error dynamics. Second, the corresponding non-fragile containment control problem of inherent nonlinear case with exogenous disturbance under switching topologies is further studied. Finally, two simulation examples are given to investigate the effectiveness of the proposed control strategy.INDEX TERMS Non-fragile containment control, multi-agent systems, switching topologies, disturbance rejection, nonlinear dynamics.