Stability Analysis And H_∞ Control Of Networked Switched Systems Based On Event-triggered

Switched systems are an important class of hybrid systems,which have a wide range of applications in engineering fields such as mechanical manufacturing,chemical production,traffic management and aerospace.With the rapid development of computer network technology,network control systems have become a very important research topic in the field of control.However,the intervention of communication networks will inevitably lead to many problems,such as information congestion,packet loss,transmission delay and cyber-attack.Faced with limited communication resources and increasingly complex control tasks,event-triggered mechanisms play an important role in reducing unnecessary data transmission,promoting efficient use of transmission channels,and improving system performance.At present,most of the research on switched systems are in non-network environment,the related achievements of the networked switched systems based on the event-triggered mechanism are still relatively few,and many valuable works need to be further developed.Based on the event-triggered mechanism,this paper considers the stability,H∞ performance and other performances and control problems of the network switched systems under the influence of the immeasurability of system states,actuator failure,asynchronous switching,sensor saturation,network transmission delay and cyber-attacks.The main research contents are as follows:1.The H∞ control problem of switched systems with time delay based on event-triggered mechanism and observer is studied.An event-triggered mechanism based on observer state is designed,and the mode-dependent Lyapunov-Krasovskii functional is constructed.By using the average dwell time method and Jensen’s inequality technique,the sufficient conditions that the closed-loop switched systems under the event-triggered mechanism is exponentially stable and satisfies H∞ performance are obtained,and the co-design scheme of controller and observer based on linear matrix inequality is given.In addition,it is proved that there is a positive lower bound for any adjacent trigger sampling interval,which avoids the Zeno phenomenon.Finally,the effectiveness of the method is verified by a river quality control model.2.The extended dissipative and reliable control problems of switched systems with time delay based on event-triggered mechanism are studied.A mode-dependent event-triggered mechanism is constructed.For the case of the mode of subsystem and the controller is asynchronous in the trigger sampling interval,and a closed-loop switched systems with a merged switching signals is established by merging switching signal technique.The mode-dependent Lyapunov-Krasovskii functional is constructed,and the sufficient conditions for the closed-loop switched system under the event-triggered mechanism to satisfy the extended dissipativity are obtained.The design method of reliable controller is given.Moreover,the H∞ performance,L2-L∞ performance,passivity and dissipativity of switched systems with time delay can be derived as special cases from the established results.Finally,the feasibility of the proposed method is verified by the boost converter circuit model.3.The H∞ fault detection problem of nonlinear switched systems under event-triggered transmission mechanism is investigated.Based on the output and dwell time of the system,a mode-dependent event-triggered mechanism is proposed.A fault detection filter is designed to detect fault signals.For the case of the mode of subsystem and the filter is asynchronous in the trigger sampling interval,and the Lyapunov function with a merged switching signals is constructed.Using the average dwell time method,the sufficient conditions that the augmented system is exponentially stable and satisfied H∞ performance are obtained.By means of variable substitution,the corresponding coefficient matrix of fault detection filter is given by explicit expression.Finally,the obtained results are applied to the mass-spring model to illustrate the effectiveness of the method.4.The H∞ reliable control problem of switched stochastic systems under cyber-attacks is studied.For the case of DoS attack on network data transmission,the division of the denied communication interval and the allowed communication interval is given.In the denied communication interval,the data cannot be transmitted normally,which causes the mode of subsystem and the controller to be asynchronous.Considering the influence of actuator failure,an appropriate event-triggered mechanism is designed.By using Lyapunov stability theory and average dwell time method,some sufficient conditions are obtained such that the resulting closed-loop system is mean-square exponentially stable and satisfies H∞ performance under DoS attack.The reliable controller can be derived in terms of linear matrix inequalities.Finally,a numerical example verifies the validity of the proposed method.5.The mixed passive and H∞ control problem of Markovian jump systems subject to cyber-attacks is investigated.An event-triggered mechanism based on periodic sampling is designed to reduce the transmission of redundant data and relieve bandwidth pressure.Considering the influence of network transmission delay,sensor saturation and deception attack during data transmission,the original system is transformed into a Markovian jump systems with time delay by using the method of input delay.By constructing multiple Lyapunov-Krasovskii functionals,and using the integral inequality technique,some sufficient conditions are obtained to ensure the closed-loop Markovian jump systems is stochastically stable and satisfies mixed H∞and passive performance,and the design method of output feedback controller is given.Finally,the proposed method is verified by taking the manipulator model as the simulation object.