Active attack compensator control for Takagi–Sugeno fuzzy chaotic Markovian jump systems with cyber attacks

The prime focus of this study is to explore the attack reconstruction and attack-compensator-based nonfragile control issues of the Takagi–Sugeno fuzzy chaotic Markovian jump systems in the midst of cyber attacks, gain fluctuations and external disturbances. Firstly, an intermediate variable is framed, which serves as the basis for the construction of an intermediate observer that concurrently estimates the state of the system and reconstruct the cyber attacks. Subsequently, a attack-tolerant nonfragile control mechanism is developed, which aids in mitigating the cyber attacks in the system. Meanwhile, the detrimental effects of external disruptions on the system are offset via dissipative performance. From thereon, novel sufficient conditions ensuring the intended boundedness of the assayed system are framed in the form of linear matrix inequalities. Ultimately, numerical examples with simulation results are offered to demonstrate the potency of the developed theoretical insights.