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This paper focuses on dealing with the problem of co-designing a fuzzy-basis-dependent event generator and an asynchronous filter of fuzzy Markovian jump systems via event-triggered non-parallel distribution compensation (non-PDC) scheme. The introduction of the event-triggered non-PDC scheme can reduce the number of real-time filter gain design operations with a large computational load. Furthermore, to perform an effective relaxation process, several kinds of time-varying parameters in filter design conditions are simultaneously relaxed by utilizing two zero equalities of transition probabilities and mismatch errors. In addition, to improve the considered performance, the event generation function is established based on fuzzy-basis-dependent event weighting matrices.

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This paper aims to propose an improved method capable of designing a sampled-data control for linear systems. To this end, a refined two-sided looped functional method is proposed such that the chosen Lyapunov-Krasovskii functional can contain more input-delay-dependent state information based on the two-sided sampling interval. Furthermore, two novel zero equality constraints are introduced to strengthen the relationship between the input-delay-dependent states and the current states. Finally, through two illustrative examples, the effectiveness of the proposed method is verified by comparing the maximum allowable sampling interval and computational complexity with other existing methods.INDEX TERMS Sampled-data systems, looped-functional, input-delay-dependent state.