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In the context of networked discrete-event systems (DESs), communicationdelays and losses exist between the plant and the supervisor for observationand between the supervisor and the actuator for control. In this paper, wefirst introduce a new framework for supervisory control of networked DESs.Under the introduced framework, we address the state estimation problem forsupervisor synthesis of networked DESs with both communication delays andlosses. The estimation algorithm considers the effect of the controls imposedon the system. Additionally, the estimation algorithm is based on the controldecisions available up to the moment, and all the future control decisions areassumed to be unknowable. Two notions, called "observation channelconfiguration" for tracking observation delays and losses and "control channelconfiguration" for tracking control delays and losses, are defined. Then, weintroduce an online approach for state estimation of the controlled system.Compared with the existing approach, the proposed approach under the introducedframework can estimate the state of the controlled system more accurately. Asan application of the proposed approach, we finally show that the existingmethods can be easily applied to synthesize maximally permissible and safenetworked supervisors.

Online State Estimation for Supervisor Synthesis in Discrete-Event Systems with Communication Delays and Losses