State-Dependent Impulsive Observer Design for Nonlinear Time-Delay Systems

This paper has proposed a new state-dependent impulsive observer (SDIO) for nonlinear time-delay systems. This observer is based on extended pseudo-linearization, and its parameters are state-dependent. The SDIO is capable to estimate system states continuously by using system output that is just available at discrete impulse times. The stability of the proposed observer is proved by using time-varying Lyapunov function, and comparison system theory of impulsive differential equation systems. By new theorem, it is guaranteed that the estimation error asymptotically converges to zero under well-defined, and less-conservative sufficient conditions. Furthermore, the stability theorem gave an upper bound on the maximum allowable time interval between consequent impulses. The simulation results show effectiveness, and good performance of the proposed observer, for a wider classes of nonlinear time-delay systems.