Extended dissipative asynchronous filtering for singular nonhomogeneous Markov jump interval type-2 fuzzy systems via event-triggering policy

The article introduces the issue of extended dissipative asynchronous filter synthesis for singular interval type-2 T–S fuzzy systems with nonhomogeneous Markov switching via event-triggered scheme, in which the mismatched membership functions are considered between the filter from the original system and the total number of data transmission will also be effectively reduced. Besides, asynchronous phenomena modes in system and the filter are characterized through the hidden Markov model (HMM). Under the premise of the time-varying transition rates were handled based on the matrix decomposition technique and the free-weighting matrices method, sufficient conditions are obtained so the error system is stochastically admissible and satisfies the extended dissipative performance by reducing nonlinear matrix inequalities (NLMIs) into the form of LMIs. Moreover, the parameter matrices related to asynchronous filter design and event-triggering strategy are also obtained by the feasible LMIs simultaneously. Lastly, a tunnel diode circuit system is raised to demonstrate the applicability and effectiveness of the derived approaches.