Stability Of Networked Control Systems Subject To Multiple Packet Dropouts With Event-triggered Mechanism

With the development of science and technology and the improvement of computer level,networked control systems have been widely used in industry.In the field of control science,networked control systems?NCSs?,as a special hybrid dynamic system,have been the focus of control theory research.Because NCSs usually involve multiple control circuits,share computing and communication resources,and have high requirements on the channel bandwidth and efficiency of signal transmission,effective utilization of these resources is the core problem in the design of networked control systems.The event-triggered control?ETC?mechanism is an effective way to save the communication channel.Compared with the control strategy based on time trigger,the ETC method makes the transmission interval depend on the state of the system so as to determine the actual need to use the communication resources.This resource-aware control view seems to be more suitable for dealing with the scarcity of communication resources,especially when the control system shares the communication network with other devices and users.One of the fundamental research questions of ETC design is how to design methods that can provide satisfactory control performance while reducing control task execution and data transmission.The actual NCSs design should consider packet loss and transmission delay,which will degrade the performance of the control system and even lead to instability.Firstly,the stability of NCSs based on ETC mechanism is studied in the case of packet loss in multiple transmission channels.After the system model is built,the NCSs with data loss in both control channel and measurement channel are described as a random parameter system.Some sufficient conditions are provided for the design of dynamic output feedback controller with event triggering rules to ensure the stability of the system.Secondly,considering the external disturbance,Lyapunov theory is used to design the dynamic feedback controller and ETC conditions,so that the system has robustH_?performance and certain anti-interference ability.In order to optimize the event trigger scheme and controller design,the algorithm of solving LMI is improved.Finally,numerical examples and simulation results are given to verify the effectiveness and applicability of the proposed method.Finally,because in the actual embedded systems and industrial network systems,compared to the ETC difficult to implement in hardware,periodic event-triggered control?PETC?strategy is a combination of time-based trigger mechanism of ease of implementation and the traditional ETC on the data of the advantages of high efficiency,therefore this paper uses hybrid system research method,research with continuous PETC mechanism of packet loss problem of networked control systems stability study.Firstly,a PETC conditional model and a dynamic output feedback controller model considering continuous packet loss were established.Then,the closed-loop system is modeled as a hybrid model,and the evolution law of the system state on the flow set and the jump set is studied,and then Lyapunov theory is used to design the conditions for the system₂ to be stable.Finally,a simulation example is given to verify the feasibility of the theory.