A framework for state attraction of discrete event systems under partial observation

State attraction for discrete event systems (DES) addresses the problem of reaching a desired subset of the plant state space after a bounded number of event occurrences. The problem of state attraction arises for example in fault-tolerant supervisory control or in the control of reconfigurable manufacturing systems, and is also applicable to systems biological problems such as the control of gene regulatory networks. State attraction is investigated with the assumption of full event observation in the existing literature. This paper extends the concept of state attraction to the case of partial observation. The notion of weak attraction under partial observation (WAPO) is introduced and necessary and sufficient conditions for the existence of a supervisor under partial observation that achieves WAPO are derived. Furthermore, a solution algorithm is proposed that finds such supervisor whenever it exists. It is shown that such supervisor can always be realized as a subautomaton of the observer automaton of the DES plant. An application example from systems biology illustrates the obtained results.
Information Sciences


Applied supervisory control for a flexible manufacturing system
Moor, Thomas; Schmidt, Klaus Verner; Perk, Sebastian (2010-12-01)
This paper presents a case study in the design and implementation of a discrete event system (DES) of real-world complexity. Our DES plant is a flexible manufacturing system (FMS) laboratory model that consists of 29 interacting components and is controlled via 107 digital signals. Regarding controller design, we apply a hierarchical and decentralised synthesis method from earlier work in order to achieve nonblocking and safe closed-loop behaviour. Regarding implementation, we discuss how digital signals tr...
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Efficient Abstractions for the Supervisory Control of Modular Discrete Event Systems
Schmidt, Klaus Verner (2012-12-01)
The topic of this technical note is the nonblocking and maximally permissive abstraction-based supervisory control for modular discrete event systems (DES). It is shown, that an efficient abstraction technique, that was developed for the nonconflict verification of modular DES, is also suitable for the nonblocking supervisory control. Moreover, it is proved that this abstraction technique can be extended by the condition of local control consistency, in order to achieve maximally permissive supervision. Dif...
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A Numerically Stable Algorithm for Eccentrically Metamaterial Covered Circular Cylinders
The regularization for monochromatic TM/TE-z polarized waves scattering from multiple non intersecting circular penetrable boundaries has recently been proven to be a requisite for its stable numerical implementation for a wide scope of parameters. The validity and necessity of corresponding regularization algorithm will be demonstrated for medium parameters which are from a double negative (DNG) material media. The preliminary numerical results which already prove the properties mentioned above are given i...
Citation Formats
K. V. Schmidt, “A framework for state attraction of discrete event systems under partial observation,” Information Sciences, pp. 265–280, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38717.