Reset observers for linear time-varying delay systems: Delay-dependent approach

Reset observer consists of linear observer and a reset element, when the input and output of the reset element have opposite signs, the state of the reset element is reset. This paper considers using reset observer to estimate states of linear time-varying delay systems. The delay-dependent approach is used for stability analysis, and global asymptotic stability and finite gain L2 stability are obtained. Moreover, less conservative piecewise Lyapunov stability conditions are developed based on partition of the state space. All the obtained results are given in the form of linear matrix inequalities (LMIs). Simulation example shows the effectiveness of the obtained results.