Abstract
This paper investigates the problem of designing event-triggered (ET) fuzzy controllers with varying gains for T-S fuzzy systems. New types of fuzzy controllers named ET fuzzy controllers with varying gains are proposed, in which the gains are automatically updated according to an online iteration algorithm at different triggering instants. By designing discontinuous Lyapunov function with time-varying Lyapunov matrix, sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained to ensure the stability of the closed-loop system. It is shown that the proposed method achieves better system performances than the existing design methods with a quadratic Lyapunov function or ET fuzzy controllers with fixed gains. An example is provided to illustrate the effectiveness of the proposed method.
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