Language-measure-theoretic optimal control of probabilistic finite-state systems

Ishanu Chattopadhyay; Asok Ray

doi:10.1109/CDC.2007.4434495

Language-measure-theoretic optimal control of probabilistic finite-state systems

Ishanu Chattopadhyay, Asok Ray

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

Supervisory Control Theory for Discrete Event Systems, introduced by Ramadge and Wonham, is based on a non-probabilistic formal language framework. Building on the concept of signed real measure of regular languages, this paper formulates a comprehensive theory for optimal control of finite-state probabilistic processes. It is shown that the resulting discrete-event supervisor is optimal in the sense of elementwise maximizing the renormalized langauge measure vector for the controlled plant behavior and is efficiently computable.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5930-5935
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434495
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2007.4434495

Cite this

Chattopadhyay, I., & Ray, A. (2007). Language-measure-theoretic optimal control of probabilistic finite-state systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 5930-5935). Article 4434495 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434495

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title = "Language-measure-theoretic optimal control of probabilistic finite-state systems",

abstract = "Supervisory Control Theory for Discrete Event Systems, introduced by Ramadge and Wonham, is based on a non-probabilistic formal language framework. Building on the concept of signed real measure of regular languages, this paper formulates a comprehensive theory for optimal control of finite-state probabilistic processes. It is shown that the resulting discrete-event supervisor is optimal in the sense of elementwise maximizing the renormalized langauge measure vector for the controlled plant behavior and is efficiently computable.",

author = "Ishanu Chattopadhyay and Asok Ray",

year = "2007",

doi = "10.1109/CDC.2007.4434495",

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note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

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Chattopadhyay, I & Ray, A 2007, Language-measure-theoretic optimal control of probabilistic finite-state systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434495, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5930-5935, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434495

Language-measure-theoretic optimal control of probabilistic finite-state systems. / Chattopadhyay, Ishanu; Ray, Asok.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 5930-5935 4434495 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - Supervisory Control Theory for Discrete Event Systems, introduced by Ramadge and Wonham, is based on a non-probabilistic formal language framework. Building on the concept of signed real measure of regular languages, this paper formulates a comprehensive theory for optimal control of finite-state probabilistic processes. It is shown that the resulting discrete-event supervisor is optimal in the sense of elementwise maximizing the renormalized langauge measure vector for the controlled plant behavior and is efficiently computable.

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Language-measure-theoretic optimal control of probabilistic finite-state systems

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