Abstract
This paper is concerned with the problem of generalized $\mathcal {H}_{2}$ reduced-order filter design for continuous Takagi–Sugeno fuzzy systems using an event-triggered scheme. For a continuous Takagi–Sugeno fuzzy dynamic system, a reduced-order filter is designed to transform the original model into a linear lower order one. This filter can also approximate the original system with $\mathcal {H}_{2}$ performance, with a new type of event-triggered scheme used to decrease the communication loads and computation resources within the network. By transforming the filtering problem to a convex optimization one, conditions are presented to design the fuzzy reduced-order filter. Finally, two illustrative examples are used to verify the feasibility and applicability of the proposed design scheme.
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