Limited Time Control And Filtering Of Switching System Based On Event Trigger Mechanism

In the increasingly complex contemporary industrial control process,switched systems consisting of discrete variables and continuous dynamics have important applications,which can be used to simulate the complex system models with multi-modal or multi-controllers.Therefore,the related research of switched systems receive wide attention.In addition,with the development of the digital age,it is imperative to introduce network transmission media in the field of modern industrial control.Digital networks bring many advantages to people's lives,but inevitably bring many problems in the actual operation process,such as energy limitation,channel limitation,transmission delay and quantization error,etc.Due to many networkinduced problems in the network environment and the inherent hybridity of switched systems,the intervention of network transmission undoubtedly increases the complexity of the analysis and synthesis of switched system.The research indicates event-triggered scheme can be used to save limited network communication resources and avoid network congestion.At present,the research on event-triggered switched system is still in its preliminary stage,so it is necessary to further explore the related problems of switched system.In practical applications,some operational models(such as robots,missile systems,chemical reaction processes,etc.)focus on their dynamic characteristics over a specific time period rather than the steady-state performance over infinite intervals.Finite-time stability can be used to describe the transient performance of the system for a limited period of time,the finite-time stability problem of the system has attracted many scholars' research interest.So far,the research results on the transient performance of event-triggered switched systems are still very limited,lacking a systematic theoretical system.In summary,whether in terms of theoretical significance or application value,the transient performance of a class of event-triggered switched systems(such as finite-time boundedness and input-output finite-time stability)is very necessary.This paper intends to introduce an event-triggered scheme to study the finite-time stability of the networked switched systems,including observer-based non-fragile control problem,asynchronous event-triggered control problem,asynchronous filter design problem,asynchronous output tracking control problem under Round-Robin communication protocol scheduling,guaranteed cost control and quantification issues,the details are summarized as follows:1.The event-triggered scheme is introduced to study the observer-based finite-time non-fragile control problem of networked switched systems.The event-triggered condition based on the system output signal is designed,and then the state observer and the non-fragile controller are constructed based on the sampled data.The closed-loop system is reconstructed into a time-delay switched system by using the input time-delay method,and the finite-time boundedness and input-output finite-time stability criterion are established.Based on the obtained conditions,the design scheme of the controller is given by linear matrix inequality(LMIs)technique and singular value decomposition method.Finally,the effectiveness of the obtained conclusions is verified by the boost converter circuit model.2.Considering the network-induced time delay,the asynchronous finite-time control problem of event-triggered switched systems is studied.For the asynchronous phenomenon that the controller and the system modal switching step are inconsistent,constructing the Lyapunov-Krasovskii functional that depended on the model of controller,the determinant conditions of finite-time boundedness and input-output finite-time stability are established by the average dwell time method.Then,the problem of solving the asynchronous finitetime controller is transformed into the feasibility problem of the convex optimization problem constrained by LMIs,and the design method of the asynchronous controller is given.Finally,the feasibility of the controller is verified by means of the boost converter circuit system model.Finally,the mass spring system model is modeled as a switched system to verify the rationality of the proposed design method.3.The asynchronous finite-time filter problem of event-triggered switched systems is studied.In the asynchronous switching mechanism,selecting a filter-dependent LyapunovKrasovskii functional,the determinant conditions of finite-time boundedness and inputoutput finite-time stability are established by the average-dwell time method and the integral inequality technique,and then the design scheme of asynchronous filter parameters is given.4.The asynchronous finite time tracking control problem of event-triggered switching system under the influence of Round-Robin communication protocol is studied.Under the condition of limited communication resources,the hybrid event-trigger transmission scheme is introduced to reduce the transmission of redundant data.The Round-Robin communication protocol is constructed to determine the access rights of the sensor,so as to alleviate the broadband pressure.Based on the constructed double-mode dependent LyapunovKrasovskii functional,the closed-loop systems with asynchronous switching characteristics are subjected to finite-time boundedness and input-output finite-time stability analysis to obtain the corresponding stability criterion.Then,the solvability of the asynchronous finite-time tracking control problem is further discussed.The obtained results are applied to the controller design of the electro-hydraulic system to verify the correctness of the proposed method.5.The finite-time guaranteed performance analysis and quantitative control problem of eventtriggered networked switched systems are studied.Different from the general switching mechanism,the model signal of the switched system with semi-Markov jump parameters obeys the semi-Markov jump process.In order to make the event trigger have certain dynamic characteristics when screening the sampling signal,a dynamic event-triggered mechanism is designed to automatically adjust the triggering parameters.Use the logarithmic quantizer to quantize the sampled signal to be transmitted into the network to reduce the burden on the network channel.By using the Lyapunov-Krasovskii functional method,the finite-time boundedness and guaranteed performance analysis of the reconstructed closedloop control system are carried out,and the corresponding sufficient conditions are obtained.According to the system performance requirements and the sufficient conditions,the design method of the controller and the upper and lower bounds of transition rates are given.Finally,the vertical take-off and landing(VTOL)helicopter model is used as the controlled system to verify the proposed method.