Resilient finite-time stabilization of fuzzy stochastic systems with randomly occurring uncertainties and randomly occurring gain fluctuations

This paper addresses the problem of resilient finite-time boundedness of a class of Takagi-Sugeno (T-S) fuzzy stochastic systems, in which there may happen the phenomena of randomly occurring uncertainties and randomly occurring gain fluctuations simultaneously. Two independent Bernoulli distributions are introduced to describe these random phenomena. And then, a resilient H ∞ state feedback fuzzy controller is designed such that the closed-loop fuzzy system is finite-time stochastic bounded with a prescribed H ∞ performance. Moreover, the sufficient conditions on the existence of the finite-time H ∞ controller are derived. A numerical example is exploited to illustrate the effectiveness and potentials of the proposed approach.

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