Approximate and sampled-data predictors for control of nonlinear delay systems

This tutorial research article presents all recent advances on the use of approximate and sampled-data predictors for time-delay systems. The implementation of predictor feedback for delay systems requires the so-called predictor mapping, i.e., the prediction of the future value of the state vector. However, predictor mappings are rarely available for nonlinear systems. The approximate predictors allow us to overcome this challenge and implement predictor feedback safely for nonlinear time-delay systems even in the case of sampled measurements. The present article reviews the implementation schemes for predictor feedback and provides illustrative examples, which can help the reader to understand the importance of the topic.