Relative Network Observability and Its Relation With Network Observability

New Results on Deterministic Networked Supervisory Control and Relative Delay Observability

“…The necessary and sufficient conditions for the existence of a networked supervisor π such that L a (π/G) = K is characterized by controllability and network observability, as shown in [12]. To overcome the difficulty that network observability is not closed under union, the notion of relative nework observability [22] that is stronger than network observability but closed under union was introduced as follows.…”

“…As in [7], given a fixed C, relative observability is stronger than observability and closed under union. We refer the reader to [22] for the engineering application of relative observability. Relative observability is extended to relative delay observability as follows.…”

“…Given H, A, and G with H A G that generate K, C, and L (G), respectively, a closed language property ϖ, and a set Ψ, we generalize the algorithm introduced in our previous work [22] for calculating the supremal controllable and relatively network obsetvable suablanguage to calculate the supremal controllable and ϖ-preserved sublanguage in Algorithm 1. ϖ can be but is not limited to, normality [3], weakly normality [5], relative observability [7], strong observability [6], relative network observability [22], and relative delay observability. Clearly, the problem solved in our previous work [22] is one of the problems solved by the algorithm introduced in this paper. In other words, the algorithm introduced in this paper is more general.…”

Overview of Networked Supervisory Control with Imperfect Communication Channels

“…The results are applied to 33-node (bus) test system, where the objective is to ensure that the total substation transformer power stays within prespecified safety limits. In [38], the authors introduce and reduce relative network observability, under communication delays and losses in the FIFO observation channel and control channel, to network observability, which allows existing solutions for network observability verification to be directly applied; the application to the calculation of the supremal controllable and relatively network observable sublanguage is also shown.…”

Networked supervisory control with imperfect communication channels

“…The results are applied to 33-node (bus) test system, where the objective is to ensure that the total sub-station transformer power stays within prespecified safety limits. In [64], the authors introduce and reduce relative network observability, under communication delays and losses in the FIFO observation channel and control channel, to network observability, which allows existing solutions for network observability verification to be directly applied; the application to the calculation of the supremal controllable and relatively network observable sublanguage is also shown.…”