Event-triggered reliable H∞ fuzzy filtering for nonlinear parabolic PDE systems with Markovian jumping sensor faults.

This paper is devoted to even-triggered reliable H∞ filter design for a class of nonlinear partial differential equation (PDE) systems with Markovian jumping sensor faults. Initially, a Takagi-Sugeno (T-S) fuzzy model is adopted to reconstruct the nonlinear systems. Then, the time delays and signal quantization that often occur in network transmission are taken into account, and an integral-type event-triggered scheme is developed to improve the transmission channel utilization. Furthermore, non-parallel-distributed-compensation technique is introduced to increase the flexibility of filter design and the filter’s parameters can be obtained by solving several linear matrix inequalities. Finally, two numerical simulations and an application study to Catalytic Rod are provided to demonstrate the effectiveness and practicability of the proposed methodology.