Fault Tolerant Resilient Control for Positive LTI System under Cyber Attack
Abstract: This paper addresses the challenge of maintaining the stability and performance of positive linear time-invariant (LTI) systems in the presence of cyber attacks. Positive systems, which ensure that the state variables remain non-negative for non-negative initial conditions, are widely used in various applications such as chemical process control, networked systems, and biological systems. However, their vulnerability to cyber attacks necessitates the development of fault-tolerant and resilient control strategies. We propose a novel control framework that combines fault tolerance with resilience to cyber attacks, ensuring that the system remains stable and performs optimally even under adversarial conditions. The proposed method is validated through theoretical analysis, demonstrating its effectiveness in safeguarding positive LTI systems against cyber threats.
Submission Number: 243
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