Study On Some Co-design Of Event-triggered Networked Control Systems

Networked control systems(NCSs)are the products of control,communication and computer(3C)technology merging and infiltrating each other,which is widely applied in important and critical areas of the national economy,such as:the electric power,petro-chemical and other energy industries,the aviation,railway and other transportation industries,the water treatment,heating,environmental monitoring and other municipal services infrastructure.At the same time,the inherent characteristics and application requirements of NCSs make the problem of system resource constraints of them become increasingly prominent.The event-triggered schemes(ETSs)can dynamically adjust the update frequency of control signals according to the actual needs of control tasks,which have the advantages in potentially saving the system resources(Network bandwidth,com-putation resources,electrical energy of nodes,etc.).This will provide a novel solution for the analysis and synthesis of NCSs under the constraints of system resources.However,the introduction of ETSs also makes NCSs face the co-design problem of controller and ETSs.As a consequence,in the last decades,the co-design problem of event-triggered NCSs have gained considerable attention from experts and scholars in the control com-munity,and a series of related results have been published in the open literature.However,in the existing literature,there are still plenty of room for improvement.Such as,1)how to design an appropriate ETS according to the variation of state/output of plant,performance requirements of the control system,application scenarios and other factors to flexibly save the system resources remains an open issue;2)There exist a class of literature that the controller gain matrix needs to be given in advance,i.e.,the con-troller and ETS are not co-designed.Consequently,the co-design algorithm of controller and ETS needs to be proposed systematically;3)Limited work has been reported,i.e.,some co-design problems need to be further investigated.Aiming at the shortcomings of the existing literature,this paper firstly to design an ETS,which is used to save the system resources while maintaining the stability and desired properties of control system.Then,based on the time-delayed systems modeling method,the mathematical model of closed-loop control system is established,which characterizes the quality of service(Qo S)of communication network and the behavior of designed ETS.By using the method of combining theoretical analysis and numerical simulation,and based on the Lyapunov sta-bility theory,the analysis methods of time-delayed systems,and linear matrix inequality(LMI)technology,etc.,some co-design problems of event-triggered NCSs are systemati-cally studied.The main research contents are as follows:(1)Aiming at the problem that the additional threshold of a mixed ETS makes it control system,the co-design problem of the output-feedback controller and the mixed ETS for a class of linear parameter-varying(LPV)system with modeling uncertainty is investigated in the framework of event-triggered NCSs.The co-design algorithm in the sense of input-to-state practically stable(ISp S)is obtained by the theoretical analysis,and its effectiveness is verified by the numerical simulation.(2)Aiming at the problem that the static ETSs cannot to well adapt the variation of state/output of plant,based on the model of interval type-2(IT2)Takagi-Sugeno (T-S)fuzzy systems,the co-design problem of the fault detection(FD)filter and the AETS for a class of non-linear systems with parameter uncertainty is studied in the framework of event-triggered NCSs.The co-design algorithm in the sense of asymptotically stable is obtained by the theoretical analysis,and its effectiveness is verified by the numerical simulation.(3)Aiming at the problem that the asynchronously and imperfectly matched member-ship functions hinder the analysis and design of system,based on the model of IT2 T-S fuzzy systems,the co-design problem of the_?fuzzy filter and the AETS for a class of non-linear systems with parameter uncertainty is studied in the frame-work of event-triggered NCSs.In the modelling process of filtering-error-system,by applying the boundedness of fuzzy weighing functions of filter,the filtering-error-system with asynchronously and imperfectly matched membership functions is further conditionally expressed as a favorable form.Then,the co-design algorithm in the sense of asymptotically stable is obtained by the theoretical analysis, and its effectiveness is verified by the numerical simulation.(4)Aiming at the problem that the stochastic sampling is ubiquitous in real-world engineering,the co-design problem of the state-feedback controller and the AETS under stochastic sampling for a class of linear time invariant(LTI)systems is studied in the framework of event-triggered NCSs.The co-design algorithm in the sense of stochastically asymptotically stable(SAS)is obtained by the theoretical analysis,and its effectiveness is verified by the numerical simulation.(5)Aiming at the problem that the update of control signals is affected by the denial- of-service(Do S)attacks,the co-design problem of the state-feedback controller and the AETS under Do S attacks for LTI systems is studied in the framework of event-triggered NCSs.The co-design algorithm in the sense of stochastically exponentially stable(SES)is obtained by the theoretical analysis,and its effectiveness is verified by the numerical simulation.