Robust Dissipative Filter Design With Sensor Fault: A Discrete‐Time Interconnected System Approach

This paper presents a dissipative filtering approach for a specific class of discrete‐time switched interconnected systems (DTSIS). The study considers discrete‐time subsystems with coupled states, while accounting for disturbances, sensor failures, and time‐varying delays. Also, the DTSIS is subject to uncertainties in the system parameters, which may affect its robustness, stability, and performance. Sensor signals are modeled as sequences of Bernoulli‐distributed white noise, reflecting potential errors and inconsistencies. The primary objective is to design a reliable dissipative filter capable of reducing the impact of external noise sources. The challenges posed by switching within the system are addressed using the average dwell time (ADT) method, which helps control the switching behavior. First, a filter is developed for the system under consideration, and the error dynamics are then analyzed through a linear matrix inequality (LMI) approach and Lyapunov‐Krasovskii theory. Stability conditions for the augmented system, encompassing both the system and error states, are derived. Finally, a numerical example is provided to demonstrate the effectiveness and practicality of the proposed approach.