Finite-Time Distributive Non-Fragile Filter Design for Complex Systems with Multiple Delays, Missing Measurements and Dynamic Quantization

• Published in: Circuits, systems, and signal processing Vol. 42; no. 3; pp. 1742 - 1772
• Main Authors: Sakthivel, R., Nithya, V., Suveetha, V. T., Kong, F.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2023; Springer Nature B.V
• Subjects: Applied mathematics; Circuits and Systems; Communication; Complex systems; Continuously stirred tank reactors; Discrete time systems; Dissipation; Electrical Engineering; Electronics and Microelectronics; Engineering; Filter design (mathematics); Instrumentation; Linear matrix inequalities; Measurement; Random variables; Sensors; Signal processing; Signal,Image and Speech Processing; Systems stability; Distributive non-fragile filter design; Missing measurements; Stochastic finite-time boundedness; Randomly occurring multiple delays; Complex systems
• DOI: 10.1007/s00034-022-02193-2
• ISSN: 0278-081X

This paper deals with the problem of finite-time dissipative-based distributive non-fragile filter design for a class of discrete-time complex systems subject to randomly occurring multiple delays, dynamic quantization and missing measurements. The main intention of this work is to propose a distributive non-fragile filter that ensures the stochastic finite-time boundedness together with prescribed dissipative performance in the presence of multiple delays. To characterize the random nature of delays, stochastic variables are introduced which satisfy the Bernoulli binary distribution. Moreover, the two factors such as missing measurements and dynamic quantization are implemented in the measurement signal. By employing S -procedure and constructing proper Lyapunov–Krasovskii functional, a set of linear matrix inequality (LMI)-based sufficient conditions that guarantee the stochastic finite-time boundedness with dissipative performance of the augmented filtering error system is obtained. Finally, the efficiency of the proposed distributive non-fragile filter design is proved by presenting three numerical examples including the continuous stirred tank reactor (CSTR) and a quarter-car suspension model.