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Output stabilizability of discrete event dynamic systems

The study of the control of Discrete Event Dynamic Systems (DEDS) was been introduced by Wonham, Ramadge, et al. This work prompted a considerable response by other researchers, exploring a variety of alternate formulations and paradigms. In our work, we have had in mind the development of a regulator theory for DEDS. In another paper, we develop notions of stability and stabilizability for DEDS while in second, we focus on the questions of observability and state reconstruction, using what might be thought of as an intermittent observation model. In this paper, we combine our work on stabilizability and observability to address the problem of stabilization by dynamic output feedback under partial observations. Our presentation here is necessarily brief.

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  • "Discrete event dynamic systems, Output stabilizability of"@en
  • "Discrete event dynamic systems, output stabilizability of"@en

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  • "The study of the control of Discrete Event Dynamic Systems (DEDS) was been introduced by Wonham, Ramadge, et al. This work prompted a considerable response by other researchers, exploring a variety of alternate formulations and paradigms. In our work, we have had in mind the development of a regulator theory for DEDS. In another paper, we develop notions of stability and stabilizability for DEDS while in second, we focus on the questions of observability and state reconstruction, using what might be thought of as an intermittent observation model. In this paper, we combine our work on stabilizability and observability to address the problem of stabilization by dynamic output feedback under partial observations. Our presentation here is necessarily brief."@en
  • "In this paper, we investigate the problem of designing stabilizing feedback compensators for Discrete Event Dynamic Systems (DEDS). The DEDS model used is a finite-state automaton in which some transition events are controllable and some events are observed. The problem of output stabilization is defined as the construction of a compensator such that the closed loop system is stable, in the sense that all state trajectories go through a given set E infinitely often. We define a stronger notion of output stabilizability which requires that we also have perfect knowledge of the state in E through which the trajectory passes on each of its visits to E. Necessary and sufficient conditions are presented for both notions. The complexity of these tests is polynomial in the cardinality of the state space of the observer. A number of sufficient conditions for the weaker notion are also presented. Corresponding tests for these sufficient conditions are shown to be polynomial in the cardinality of the state space of the system. Finally, a problem of resilient output stabilizability is addressed."@en

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  • "Output stabilizability of discrete event dynamic systems"@en
  • "Output Stabilizability of Discrete Event Dynamic Systems"@en

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