Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application

• Published in: Mathematics and computers in simulation Vol. 227; pp. 209 - 225
• Main Authors: Tajudeen, M. Mubeen, Ali, M. Syed, Thakur, Ganesh Kumar, Priya, Bandana, Perumal, R.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2025
• Subjects: Conic-type nonlinearity; Deception attacks; Discrete-time system; Event-triggered control; Markov-jump system; Discrete-time system; Event-triggered control; Deception attacks; Markov-jump system; Conic-type nonlinearity
• ISSN: 0378-4754
• DOI: 10.1016/j.matcom.2024.08.007

The non-fragile control issue of discrete-time conic-type nonlinear Markov jump systems under deception attacks has been investigated using an event-triggered method. The nonlinear terms satisfy the conic-type nonlinear constraint condition that lies in a known hypersphere with an uncertain center is employed. The deception attack may obstruct normal communication in an effort to obtain confidential information. In addition, a non-fragile event-triggered controller is suggested to further conserve communication resources. As a stochastic process, a deception attack is manageable by the established controller. Also, by choosing an appropriate Lyapunov-Krasovskii functional, a set of necessary conditions is found in terms of linear matrix inequalities (LMIs) that guarantee mean square stability of the discrete-time conic-type nonlinear Markov jump system in the presence of deception attacks. Finally, the proposed non-fragile event-triggered control techniques is validated with a DC-DC motor application system and another numerical example.