| With the continuous upgrading and development of modern science and technology,control theory and computer science,electronic information engineering,artificial intelligence,and other disciplines continue to cross and integrate,and it has become a hot research direction in various application scenarios such as aerospace,chemical industry,and electric power.In these application scenarios,the research and analysis of various complex systems has also become an important task for current researchers.The singular system and the singular perturbed system under its classification are typical complex systems,which have a wider applicability to the actual application scenarios than the regular system,and with the increasing intelligence and integration of industrial production The problem of security control has become a new problem in front of singular systems and singular perturbed systems.The system security problems caused by network attacks can be avoided by finding ways to avoid risks from the types of attacks and the attack process.In real industrial scenarios,the complete visualization of the system state cannot be directly obtained and measured,so designing a state observer to detect the real-time state of the system is of great help for subsequent data processing.At the same time,in the control system,the traditional time-triggered mechanism will waste the communication resources of the system.This paper adopts an event-triggered mechanism that saves network resources,which can reasonably allocate the limited communication resources of the system on demand.Based on the above analysis,this paper studies the design of singular system controller based on event trigger and observer under denial-of-service attack,which includes the following contents:Firstly,the mathematical model of singular system under periodic denial of service attack is established,the attack mode is mathematically modeled,and the controller design based on the event-triggered mechanism is constructed by using the switching observer scheme,using the piecewise Lyapunov function and the free weighting matrix Perform a stability analysis on the system.Then jointly design the switching observer and the event-triggered controller.Then,for the singular system under periodic denial of service attack,a new dynamic event triggering mechanism that changes with the system state is proposed.This dynamic event triggering mechanism can effectively reduce the system communication load when the system is running stably.In emergencies,the real-time communication of the status of each part of the system can be ensured.Then,the switching observer is designed on the basis of dynamic event triggering,and the sufficient conditions for system stability are obtained by using the piecewise Lyapunov function.design method.Finally,for the disordered attack in the network attack,this paper starts from the aperiodic denial of service attack,and studies the observer design of the singular perturbation system triggered by the elastic event under the aperiodic denial of service attack.Stability analysis,using linear inequality method to jointly design elastic event trigger mechanism and state observer gain matrix. |