EECI09: Distributed control: Difference between revisions

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One paragraph overview of the lecture
In this lecture we introduce the problem of distributed control of a multi-agent system.  As an analysis tool, we prove a Nyquist criterion that uses the eigenvalues of the graph Laplacian matrix to determine the effect of the communication topology on formation stability.  We also consider several design paradigms for decentralized and distributed control systems.


==  Lecture Materials ==
==  Lecture Materials ==
* Lecture slides: {{eeci-sp09 pdf|Ln_topic.pdf|Title}}
* Lecture slides: {{eeci-sp09 pdf|Ln_topic.pdf|Title}}
* Links to anything else that is handed out in the lecture


== Further Reading ==
== Further Reading ==
* <p>[http://www.cds.caltech.edu/~murray/cdspanel Control in an Information Rich World], R. M. Murray (ed). SIAM, 2003. This book provides a high level description of some of the research challenges and opportunities in the field of control. The executive summary (Section 1) and the application sections on "Information and Networks" and "Robotics and Intelligent Machines" (Section 3.2 and 3.3) are particularly relevant.</p>
* <p>J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations", ''IEEE T. Automatic Control'', 49(9):1465-1476, 2004.</p>
* <p>Second paper</p>
* <p>S. K. Mitter and A. Sahai, "Information and control: Witsenhausen revisited," in Learning, Control and Hybrid Systems: Lecture Notes in Control and Information Sciences 241, Y. Yamamoto and S. Hara, Eds. New York, NY: Springer, 1999, pp. 281-293.</p>
* <p>[http://www.cds.caltech.edu/~murray/papers/2003r_ghm04-acc.html "On the Synthesis of Control Laws for a Network of Autonomous Agents"], V. Gupta, B. Hassibi and R. M. Murray, Proceedings of the American Control Conference 2004, vol. 6, pp. 4927-4932, 2004.</p>
* <p>"Distributed Control Design for Systems Interconnected over an Arbitrary Graph", C. Langbort, R. S. Chandra and R. D'Andrea, IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1502-1519, Sep. 2004.</p>
* <p>"A Characterization of Convex Problems in Decentralized Control", M. Rotkowitz and S. Lall, IEEE Transactions on Automatic Control, vol. 51, no. 2, pp.274-286, Feb. 2006.</p>


==  Additional Information ==  
==  Additional Information ==
* [http://home.cwru.edu/ncs/ Networked Control Systems Repository] (M. Branicky and S. Phillipps)
* [[EECI08: Introduction to Networked Control Systems|2008 lecture page]]
* Additional links to external information

Revision as of 22:30, 7 March 2009

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In this lecture we introduce the problem of distributed control of a multi-agent system. As an analysis tool, we prove a Nyquist criterion that uses the eigenvalues of the graph Laplacian matrix to determine the effect of the communication topology on formation stability. We also consider several design paradigms for decentralized and distributed control systems.

Lecture Materials

Further Reading

  • J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations", IEEE T. Automatic Control, 49(9):1465-1476, 2004.

  • S. K. Mitter and A. Sahai, "Information and control: Witsenhausen revisited," in Learning, Control and Hybrid Systems: Lecture Notes in Control and Information Sciences 241, Y. Yamamoto and S. Hara, Eds. New York, NY: Springer, 1999, pp. 281-293.

  • "On the Synthesis of Control Laws for a Network of Autonomous Agents", V. Gupta, B. Hassibi and R. M. Murray, Proceedings of the American Control Conference 2004, vol. 6, pp. 4927-4932, 2004.

  • "Distributed Control Design for Systems Interconnected over an Arbitrary Graph", C. Langbort, R. S. Chandra and R. D'Andrea, IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1502-1519, Sep. 2004.

  • "A Characterization of Convex Problems in Decentralized Control", M. Rotkowitz and S. Lall, IEEE Transactions on Automatic Control, vol. 51, no. 2, pp.274-286, Feb. 2006.

Additional Information