Stability Analysis of Linear Time-varying System with Sampled-data Observer

This paper investigates the stability problem of linear time-varying systems with sampled-data observer. The sampled-data observer is constructed on the basis of output prediction. A sufficient condition based on sampling interval is established such that the state of observer converge to system's state. Moreover, based on theory of Yang inequality and Lyapunov method, a piecewise continuous control protocol is provided to solve the stability problem of the systems. Finally, a simulation example is provided to illustrate our established result.