Advancing control of Boolean control networks with delays in output and states: From the Smith predictor to its modification

Abstract

The paper studies the application of the Smith predictor in designing the control of Boolean Control Networks (BCNs) with delays. We present the Smith predictor and its modified version as general frameworks that can be constructed upon any nominal controller. The approach is then utilized for the design of a time-optimal controller for BCNs with output delays and state delays, using a delay-free time-optimal controller as the nominal controller. The controllability of the Smith predictor and the modified Smith predictor is also investigated. By introducing a quasi-distance, we compare the performance of the optimal controller with other types of controllers for the delayed BCNs. The results demonstrate that our approach is flexible, effective, and performs well.