Cart (Loading....) | Create Account
Close category search window
 

On Tractable Instances of Modular Supervisory Control

Sign In

Full text access may be available.

To access full text, please use your member or institutional sign in.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Gummadi, R. ; Coordinated Sci. Lab. & Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, USA ; Singh, N. ; Sreenivas, R.S.

An instance of a modular supervisory control problem involves a plant automaton, described either as a monolithic, finite-state automaton (SUP1M), or as the synchronous product of several finite-state automata (SUPMM), along with a set of finite state, specification automata on a common alphabet. The marked language of the synchronous product of these automata represents the desired specification. A supervisory policy that solves the instance selectively disables certain events, based on the past history of event-occurrences, such that the marked behavior of the supervised system is a non-empty subset of the desired specification. Testing the existence of a supervisory policy for a variety of in stances of modular supervisory control is PSPACE-complete [1]. This problem remains intractable even when the plant is a monolithic finite state automaton and the specification automata are restricted to have only two states with a specific structure [2]. We refer to this intractable class as SU P1Ω in this paper. After introducing complement sets for events in a plant automaton, we identify a subclass of SUP1Ω that can be solved in polynomial time. Using this class as the base, inspired by a family of subclasses of SAT (cf. section 4.2, [3]) that can be solved in polynomial time [4], we develop a family of subclasses of SUP1Ω that can be solved in polynomial time. The results of this paper are also used to identify a polynomial time hierarchy for certain intractable subclasses of SUPMM identified in this paper.

Published in:

Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 7 )

Date of Publication:

July 2011

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.