Observer Design for Control and Fault Diagnosis of Boolean Networks

Focusing on the application of Boolean control networks (BCNs) in biological systems, this thesis presents methods for reconstructibility analysis essential for state observers in control theory. It details a two-step design process for Luenberger-like observers that provide accurate state estimates when a BCN is reconstructible. The research further extends to unknown input observers, distributed observers, and reduced-order observers, thoroughly evaluating their performance. Additionally, it includes methods for output tracking control and fault diagnosis, validated through numerical examples.