Improved dynamic event-triggered H∞ control for networked fuzzy singularly perturbed systems with hidden Markov fading channels

In this paper, the dynamic event-triggered H infinity control problem is explored for networked fuzzy slow sampling singularly perturbed systems (S3PSs) subject to hidden Markov fading channels. To alleviate the communication burden more effectively, an improved dynamic event-triggered scheme (DETS) is constructed for networked fuzzy S3PSs, under which two auxiliary internal dynamic variables are considered into event-triggered condition. The fading channel phenomena with randomly time-varying amplitudes are characterized by the finite state Markov process. Meanwhile, considering the actual network mode may be unmeasurable, a hidden Markov mode detector is exploited to estimate the actual network mode, by which the control signal can be adjusted appropriately. By constructing the singular perturbation parameter (SPP)-dependent Lyapunov functional, sufficient conditions are obtained to guarantee the mean square stability of networked fuzzy S3PSs. Besides, the numerical ill-conditioned problem of networked fuzzy S3PSs can be avoided. Finally, a tunnel diode circuit example is proposed to illustrate the effectiveness of the main results.