Cooperative task planning of multi-agent systems under timed temporal specifications

In this paper the problem of cooperative task planning of multi-agent systems when timed constraints are imposed to the system is investigated. We consider timed constraints given by Metric Interval Temporal Logic (MITL). We propose a method for automatic control synthesis in a two-stage systematic procedure. With this method we guarantee that all the agents satisfy their own individual task specifications as well as that the team satisfies a team global task specification.

[1]  Dejan Nickovic,et al.  From Mtl to Deterministic Timed Automata , 2010, FORMATS.

[2]  George J. Pappas,et al.  Flocking in Fixed and Switching Networks , 2007, IEEE Transactions on Automatic Control.

[3]  Emilio Frazzoli,et al.  Vehicle Routing Problem with Metric Temporal Logic Specifications , 2008, 2008 47th IEEE Conference on Decision and Control.

[4]  Angelika Mueller Formal Modeling And Analysis Of Timed Systems , 2016 .

[5]  George J. Pappas,et al.  Distributed connectivity control of mobile networks , 2007, 2007 46th IEEE Conference on Decision and Control.

[6]  Thomas Brihaye,et al.  On MITL and Alternating Timed Automata , 2013, FORMATS.

[7]  John S. Baras,et al.  Optimal mission planner with timed temporal logic constraints , 2015, 2015 European Control Conference (ECC).

[8]  Moshe Y. Vardi,et al.  Motion Planning with Complex Goals , 2011, IEEE Robotics & Automation Magazine.

[9]  Deepak D'Souza,et al.  On the expressiveness of MTL in the pointwise and continuous semantics , 2007, International Journal on Software Tools for Technology Transfer.

[10]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[11]  Calin Belta,et al.  Multi-robot deployment from LTL specifications with reduced communication , 2011, IEEE Conference on Decision and Control and European Control Conference.

[12]  Michael Melholt Quottrup,et al.  Motion planning in multi-robot systems using timed automata , 2004 .

[13]  Dimos V. Dimarogonas,et al.  On the Rendezvous Problem for Multiple Nonholonomic Agents , 2007, IEEE Transactions on Automatic Control.

[14]  Wang Yi,et al.  Uppaal in a nutshell , 1997, International Journal on Software Tools for Technology Transfer.

[15]  Jun Liu,et al.  Switching control of dynamical systems from metric temporal logic specifications , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

[16]  Joël Ouaknine,et al.  On the decidability of metric temporal logic , 2005, 20th Annual IEEE Symposium on Logic in Computer Science (LICS' 05).

[17]  Dimos V. Dimarogonas,et al.  Multi-agent plan reconfiguration under local LTL specifications , 2015, Int. J. Robotics Res..

[18]  Patricia Bouyer,et al.  From Qualitative to Quantitative Analysis of Timed Systems , 2009 .

[19]  Dejan Nickovic,et al.  From MITL to Timed Automata , 2006, FORMATS.

[20]  Sanjit A. Seshia,et al.  Reactive synthesis from signal temporal logic specifications , 2015, HSCC.

[21]  KoymansRon Specifying real-time properties with metric temporal logic , 1990 .

[22]  George J. Pappas,et al.  Discrete abstractions of hybrid systems , 2000, Proceedings of the IEEE.

[23]  Stavros Tripakis,et al.  Checking timed Büchi automata emptiness on simulation graphs , 2009, TOCL.

[24]  Christel Baier,et al.  Principles of model checking , 2008 .

[25]  Xiaoming Hu,et al.  Formation constrained multi-agent control , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[26]  Thomas Bak,et al.  Planning : A Timed Automata Approach , 2004 .

[27]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[28]  Yushan Chen,et al.  Formal Approach to the Deployment of Distributed Robotic Teams , 2012, IEEE Transactions on Robotics.

[29]  Hadas Kress-Gazit,et al.  Temporal-Logic-Based Reactive Mission and Motion Planning , 2009, IEEE Transactions on Robotics.

[30]  Calin Belta,et al.  Automatic Deployment of Distributed Teams of Robots From Temporal Logic Motion Specifications , 2010, IEEE Transactions on Robotics.

[31]  Antoine Girard,et al.  Approximation Metrics for Discrete and Continuous Systems , 2006, IEEE Transactions on Automatic Control.

[32]  Paulo Tabuada,et al.  Verification and Control of Hybrid Systems - A Symbolic Approach , 2009 .

[33]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[34]  Yushan Chen,et al.  A Formal Approach to Deployment of Robotic Teams in an Urban-Like Environment , 2010, DARS.

[35]  Thomas A. Henzinger,et al.  The benefits of relaxing punctuality , 1991, PODC '91.

[36]  Calin Belta,et al.  Optimality and Robustness in Multi-Robot Path Planning with Temporal Logic Constraints , 2013, Int. J. Robotics Res..

[37]  Laurent Fribourg,et al.  Formal Modeling and Analysis of Timed Systems , 2013, Lecture Notes in Computer Science.

[38]  Emilio Frazzoli,et al.  Linear temporal logic vehicle routing with applications to multi‐UAV mission planning , 2011 .

[39]  Ron Koymans,et al.  Specifying real-time properties with metric temporal logic , 1990, Real-Time Systems.

[40]  Calin Belta,et al.  Optimal multi-robot path planning with temporal logic constraints , 2011, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[41]  Rajeev Alur,et al.  A Theory of Timed Automata , 1994, Theor. Comput. Sci..

[42]  K.J. Kyriakopoulos,et al.  Automatic synthesis of multi-agent motion tasks based on LTL specifications , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).