Asynchronous Stabilization for Discrete Hidden Semi-Markov Jumping Power Models With Cyber Attacks

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 70; no. 7; pp. 2565 - 2569
• Main Authors: Qi, Wenhai, Sha, Mingxuan, Park, Ju H., Yan, Huaicheng, Xie, Xiangpeng
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.07.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control theory; Controllers; cyber attacks; Cyberattack; Cybersecurity; Liapunov functions; Markov chains; Markov processes; mean square stability; Oscillators; Power system stability; Process control; Random variables; Semi-Markov jumping power models; semi-Markov model; Stability criteria; Stabilization
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2023.3244936

This brief concerns the asynchronous stabilization for discrete hidden semi-Markov jumping power models subject to cyber attacks. Owing to a mode mismatch between the original system and control law in the operating process, a hidden semi-Markov model strategy is proposed to describe this asynchronous phenomenon. Based on the emission probability information, a developed controller is constructed to depend on the observed mode rather than the system mode. Next, with the aid of the stochastic Lyapunov function, new techniques are developed for <inline-formula> <tex-math notation="LaTeX">\sigma </tex-math></inline-formula>-error mean square stability under the framework of random deception attacks. Furthermore, an observed-mode-dependent controller is presented on the basis of standard matrix inequality. Finally, an example is given to illustrate the effectiveness of the control scheme.