Delayed Sampled Impulsive Observer Design for a Class of Non-Affine Nonlinear Systems With Aperiodic Sampled and Delayed Measurements

Abstract

In this article, a delayed sampled impulsive observer (DSIO) is designed for a class of nonlinear systems with a non-affine structure subjected to aperiodic sampled and delayed measurement and external disturbance. The designed DSIO consists of two parts according to continuous and discrete time space: the first part predicts the state between samples by replicating the dynamics of the observed system in the continuous time space; The second part is to use the system's sampled delayed output for impulsive correction in the discrete time space. The proposed DSIO allows for delays larger than the sampling period. Combined with the delayed impulsive systems theory, the input-to-state stability of the designed DSIO under external disturbances is proved. The designed DSIO is illustrated via numerical simulation with a Chua's Circuit example and comparison with another Zero-Order Holder-based Observer (ZOHO) to highlight its effectiveness.