Robust control scheme for uncertain semi‐Markov jump systems subject to digital communication constraint and incomplete sojourn‐time information

• Published in: Asian journal of control Vol. 26; no. 3; pp. 1387 - 1401
• Main Authors: Zhang, Linchuang, Du, Xinye, Sun, Yonghui, Zhai, Suwei, Wang, Yi, Zhou, Wei
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.05.2024
• Subjects: Actuators; Communication; Control systems design; Controllers; digital communication constraint; incomplete sojourn‐time information; Linear matrix inequalities; Mathematical analysis; Performance degradation; Resilience; Robust control; semi‐Markov jump systems
• ISSN: 1561-8625; 1934-6093
• DOI: 10.1002/asjc.3261

This paper deals with the robust control problem for networked uncertain semi‐Markov jump systems over digital communication channel, where some complicated factors are considered in this framework, such as false data injection attacks, incomplete sojourn‐time information, and actuator fault. In network environment, these problems frequently occurred: (1) Data must be quantified before it is transmitted via digital communication channels, and (2) there is always the risk of cyber‐attack. Traditional controllers are not effective to solve the robust control design issue of uncertain semi‐Markov jump systems since the signal quantization and cyber‐attack will degrade control performance evidently. Then, a resilient controller is designed to guarantee the stable running of system with incomplete sojourn‐time information and the system resiliency to unsecure shared data. With the help of Lyapunov stability theory, sufficient conditions are derived in the form of linear matrix inequality, which can determine the gains of the resilient controller. Finally, the simulation examples about single‐machine infinite‐bus power system are given to explain the effectiveness and feasibility of the proposed control approach.