Event-triggered control for disturbance decoupling problem of mix-valued logical networks

Abstract

This paper investigates the disturbance decoupling problem (DDP) of mix-valued logical control networks (MVLCNs) via event-triggered control. Firstly, a generalized concept is introduced to the DDP of MVLCNs, which reduces the conservativeness of the original concept. Secondly, a new method is proposed to construct an output-friendly coordinate frame for MVLCNs. Thirdly, given an output-friendly coordinate frame obtained by the new method, a necessary and sufficient condition is presented for the solvability of event-triggered DDP in the sense of the generalized concept. In addition, an effective method is proposed to design feasible event-triggered DDP controllers. The study of an illustrative example shows that the triggering times may be reduced by introducing the generalized concept of DDP.