Observer-based event-triggered security control for nonlinear networked systems with privacy protection and DoS attacks

In this paper, the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> control of nonlinear networked systems under denial-of-service (DoS) attacks based on event-triggered encryption observer is studied. To begin with, the nonlinear problem is solved by Takagi-Sugeno fuzzy model. In addition, considering the utilization of network resources, a novel adaptive event-triggered mechanism is reported to better determine when the signal is sent. Under the framework of network security, an encrypted observer is given, and the impact of DoS attacks is considered in the network channel from actuator to observer, where DoS attacks are described by random variables satisfying Bernoulli distribution. Then, based on the above considerations, sufficient conditions for the observer-based controller to guarantee the stochastic stability and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> performance of the closed-loop system are given. The theoretical results of the observer-based controller parameters are obtained by solving linear matrix inequalities. Lastly, the feasibility of the reported method is verified by a mechanical motion system.