Faults Modeling in Networked Environment and Its Tolerant Control with Multiple Simultaneous Faults

Atif Mahmood (), Abdul Qayyum Khan, Nasim Ullah, Adil Sarwar Khan, Muhammad Asim Abbasi, Alsharef Mohammad and Abdulfattah Noorwali
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Atif Mahmood: Grafton College, No. 6 Park Road, Chak Shahzad, Islamabad 45600, Pakistan
Abdul Qayyum Khan: Pakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad 45650, Pakistan
Nasim Ullah: Department of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia
Adil Sarwar Khan: Pakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad 45650, Pakistan
Muhammad Asim Abbasi: Pakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad 45650, Pakistan
Alsharef Mohammad: Department of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia
Abdulfattah Noorwali: Department of Electrical Engineering, Umm Al-Qura University, Makkah 24221, Saudi Arabia

Mathematics, 2023, vol. 11, issue 4, 1-14

Abstract: This paper presents two new fault models for networked systems. These fault models are more realistic and generalized for networked systems in the sense that they can represent the effects of fault at the node and network levels. At the network layer, the uncertain effects of the network lines are modeled using a Markov chain with complex transition probabilities simultaneously with the stochastic behavior of the network using a Bernoulli process. A new output feedback-based controller, which is two-mode dependent and considers network uncertainties and output measurements for gain calculation, is presented. Using the tools of robust control and stochastic stability, linear matrix inequality-based sufficient conditions are derived. The proposed controller successfully maintains the system’s performance by tolerating the effects of simultaneous sensor and actuator faults, ensuring the stability of networked loops. Simulation results verify the applicability of the presented fault-tolerant control against multiple simultaneous faults.

Keywords: fault modeling; networked systems; fault-tolerant control; stochastic stability; Markovian jump system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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