NDLI: Optimal Control of Markov Decision Processes With Linear Temporal Logic Constraints

Content Provider	IEEE Xplore Digital Library
Author	Xuchu Ding Smith, S.L. Belta, C. Rus, D.
Copyright Year	1963
Abstract	In this paper, we develop a method to automatically generate a control policy for a dynamical system modeled as a Markov Decision Process (MDP). The control specification is given as a Linear Temporal Logic (LTL) formula over a set of propositions defined on the states of the MDP. Motivated by robotic applications requiring persistent tasks, such as environmental monitoring and data gathering, we synthesize a control policy that minimizes the expected cost between satisfying instances of a particular proposition over all policies that maximize the probability of satisfying the given LTL specification. Our approach is based on the definition of a novel optimization problem that extends the existing average cost per stage problem. We propose a sufficient condition for a policy to be optimal, and develop a dynamic programming algorithm that synthesizes a policy that is optimal for a set of LTL specifications.
Sponsorship	IEEE Control Systems Society
Starting Page	1244
Ending Page	1257
Page Count	14
File Size	3737772
File Format	PDF
ISSN	00189286
Volume Number	59
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Markov processes Vectors Probabilistic logic Equations Transient analysis Optimal control Process control Markov decision process (MDP Computation tree logic (CTL) linear temporal logic (LTL)
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

MDP optimal control under temporal logic constraints

Optimal Temporal Logic Control for Deterministic Transition Systems With Probabilistic Penalties

Probably Approximately Correct MDP Learning and Control With Temporal Logic Constraints

Temporal Logic Motion Planning and Control With Probabilistic Satisfaction Guarantees

Constrained Partially Observed Markov Decision Processes With Probabilistic Criteria for Adaptive Sequential Detection

Optimal Control of Partially Observable Markov Decision Processes with Finite Linear Temporal Logic Constraints

Networked Markov Decision Processes With Delays

Formal Synthesis of Control Policies for Continuous Time Markov Processes From Time-Bounded Temporal Logic Specifications

Control of markov decision processes from pctl specifications (2011).

Optimal Control of Markov Decision Processes With Linear Temporal Logic Constraints

Similar Documents

MDP optimal control under temporal logic constraints

Optimal Temporal Logic Control for Deterministic Transition Systems With Probabilistic Penalties

Probably Approximately Correct MDP Learning and Control With Temporal Logic Constraints

Temporal Logic Motion Planning and Control With Probabilistic Satisfaction Guarantees

Constrained Partially Observed Markov Decision Processes With Probabilistic Criteria for Adaptive Sequential Detection

Optimal Control of Partially Observable Markov Decision Processes with Finite Linear Temporal Logic Constraints

Networked Markov Decision Processes With Delays

Formal Synthesis of Control Policies for Continuous Time Markov Processes From Time-Bounded Temporal Logic Specifications

Control of markov decision processes from pctl specifications (2011).

Optimal Control of Markov Decision Processes With Linear Temporal Logic Constraints