Finite-time H_? Filtering For Switched Linear Systems Based On Event-triggered Scheme

As an important subclass of hybrid systems,switched systems consist of finite subsystems and a switching law that regulate how these subsystems switch.Interference factors such as external disturbance and measurement noise will affect the system information transmission and detection,which may cause the system output signals to be inaccurate.Therefore,a filter is introduced into the system to obtain the optimal approximation of the estimated signals.And the event-triggered scheme can avoid unnecessary data transmission and save computing resources.In practical application,people pay more attention to the dynamic behavior of the systems in a fixed time interval.In this paper,under asynchronous switching,the finite-time H? filtering problem for the switched linear systems is studied based on the modedependent event-triggered transmission scheme.The main results are summarized as follows:1.The finite-time H? filtering problem is extended to discrete-time switched linear systems,discrete-time switched linear time-delay systems and continuoustime switched time-delay linear systems.Under the mode-dependent event-triggered transmission scheme,the discrete-time switched linear systems,discrete-time switched time-delay linear systems,continuous-time switched time-delay linear systems and their H? filtering systems are respectively modeled as the output-based filtering error systems with the augmented switching signals by merging switching signal technology.2.Using the method of Lyapunov function,average dwell time and integral inequality technique,the sufficient conditions for the filtering error systems to be finite-time bounded and finite-time stable are established respectively under asynchronous switching.And then the H? performance is analyzed on the basis that the filtering error system is finite-time bounded,and the sufficient conditions that the filtering error systems are finite time bounded and have a given H? performance index are given,and the corresponding filters design method is given based on the mode-dependent event-triggered matrixes.Finally,the rationality of the proposed results is verified by numerical examples and MATLAB simulation.