Research And Application Of Switched Affine System Control Based On Event-Triggered

As a special type of the switched system,the switched affine system has a rich application background in the fields such as distributed control systems,aviational detector systems and power systems.Therefore,it has received extensive attention and research in the academic community.Stability and stabilization are the two most basic issues in the system research.At present,most of the research results on the stability analysis and control design of the switched affine systems based time-triggered control.However,the control scheme may cause system data redundancy and unnecessary waste of resources.As a nonperiodic sampling method,the event-triggered control can overcome the above-mentioned shortcomings.To this end,an event-triggered control scheme is adopted to research the stability and the control design of the switched affine system and the results are applied to the DC-DC converter.The main research work and innovative points of this thesis are as follows:(1)For a class of linear switched affine systems,an event-triggered condition and a switching signal which depends on the state of the trigger moment is design firstly.By constructing a piecewise differentiable Lyapunov function with a time-varying matrix,a stability condition is proposed to ensure that the switched affine system exponentially convergences to a small neighborhood of the desired equilibrium point.Then,based on the proposed stability condition,a disturbance attenuation performance of the switched affine system is further studied.A numerical example shows that the proposed stability results are less conservative,and the DC-DC converter example verifies the effectiveness of the proposed scheme.(2)Due to environmental factors or the aging of system components,the system will inevitably have fault signals and cause system chaos.Therefore,for a class of switched affine systems with fault signals,a fault detection scheme based on event-triggered is proposed.Firstly,two performance indexes are proposed to take-off the system’s fault sensitivity and disturbance attenuation performance,and an output-dependent event-triggered condition and a fault detection observer which depends on the output of the trigger time are designed.By constructing a piecewise differentiable Lyapunov function with a time-varying matrix,the switching signal and linear matrix inequalities(LMIs)conditions that should ensure fault sensitivity and disturbance attenuation performance are proposed.Then,an evaluation function and threshold are given to construct the detected logic,so as to achieve the purpose of the fault detection.Finally,an example of a DC-DC converter is used to verify the effectiveness of the proposed method.(3)In some practical situations,the system state is required to remain within a certain boundedness in a finite-time.However,in many cases,the system may not be satisfied.Therefore,for a class of linear switching affine systems,a finite-time control scheme based on event-triggered is proposed.Firstly,a dynamic event-triggered condition,a switching signal which depends on the state of the trigger moment,and a state feedback controller are designed.Using the multi-Lyapunov function method,the finite-time stability,finite-time boundedness,and finite-time disturbance attenuation performance conditions of the system under the event-triggered mechanism are proposed.Based on the obtained conditions,the conditions that the controller gain and switching signal should satisfy are derived.At the end,the two numerical examples are used to verify the effectiveness of the proposed method.