Summary
The special issue presents results of the current research on moving horizon estimation for linear and nonlinear systems. The special issue includes six papers with two main types of contributions, that is, those with new theoretical developments and those focused on practical applications such as fault diagnosis, outlier accommodation, and field monitoring. Notably, these two types of contribution are somehow mixed since the combination of theory and application is a fundamental inspiration mechanism, whenever systematic and rigorous algorithm devising enables outstanding experimental performance and, conversely, challenging experimental problems inspire conceptual insights in theoretical understanding.