Event-Triggered Control Based On Quantized States

In recent years,the networked control based on event triggering mechanism has been paid more and more attention,and has made great progress and extensive application.Compared with the traditional control method,the networked control method can avoid the point-to-point connection mode,thus reducing the cost,simplifying the maintenance of the system,and has great advantages.Event triggering mechanism uses non-uniform sampling mode,which successfully avoids unnecessary sampling and controller updating problems caused by fixed-period sampling mode,thus reducing unnecessary waste of system resources of system resources.As a result of a large number of information transmission between various devices,it brings tremendous pressure to network transmission,which can easily cause network congestion,thus affecting the real-time performance of signals.Therefore,the advantages of quantifying the state signals of the system are highlighted,which can not only improve the utilization of the network,reduce the transmission signal,but also help to reduce costs.However,signal quantization is lossy quantization and leads to quantization errors.Event triggering mechanism will also bring errors.In addition,the instability caused by system noise interference will adversely affect the stability and performance of the system.Therefore,it is of great significance and value in theory and practice to study event-triggered control based on quantized states and give new methods and strategies.In this paper,firstly,for linear time-invariant systems with different feedback modes,the stability of event-triggered control systems based on state feedback and output feedback quantized states is studied,and the event-triggered conditions and controllers are designed in collaboration.Finally,the validity and applicability of the design method are verified by simulation examples.Then,for a system whose state is not measurable or can not measure the ideal state,we introduce a state observer to estimate the state of the system based on the event-triggered control of quantized states,and study the influence of quantization error and observation error on the stability of the system.A sufficient condition for the existence of controllers and event triggering conditions is given by using a series of linear matrix inequalities.In addition,The method of co design controller and event triggering condition is given.Finally,because the system noise in the actual control system is sometimes unavoidable,this random noise may lead to the previously designed event triggering control strategy can not meet the performance requirements.For linear time-invariant systems with bounded system noise,we study the robust control problem based on event-triggered communication quantizer.By using robust H? control theory and linear matrix inequality technique,a sufficient condition is given to guarantee the given level of robust H? disturbance suppression,and a new criterion for asymptotic stability analysis and a controller design method are obtained.And event triggering conditions and H? controllers are designed in collaboration.In addition,the positive and lower bounds of event trigger interval are given,and it is proved that the control method can naturally avoid Zeno behavior.