EECI09: Quantization and bandwidth limits: Difference between revisions

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{{eeci-sp09 header|prev=Packet loss|next=Information patterns}}
{{eeci-sp09 header|prev=Packet loss|next=Estimation over networks}}


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One paragraph overview of the lecture
In this lecture, we consider networked control over a digital noiseless channel. The one block design problem is largely unsolved. For the two block design problem, the fundamental result is the data rate theorem, which constrains the data rate required for stabilizing the process. There are interesting issues that arise if further constraints are placed on the memory of the encoder.


==  Lecture Materials ==
==  Lecture Materials ==
* Lecture slides: {{eeci-sp09 pdf|Ln_topic.pdf|Title}}
* Lecture slides: [[Media:lecture_quantization.pdf|Lecture Summary]]
* 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>[http://www.ee.unimelb.edu.au/staff/gnair/nairPIEEE07.pdf "Feedback control under data rate constraints: an overview"], G. N. Nair, F. Fagnani, S. Zampieri, and R. J. Evans, Proceedings of the IEEE, vol. 95, no. 1, pp. 108-37, Jan. 2007. This paper gives a nice overview and provides several references for the general area of control over digital noiseless channels.</p>
* <p>Second paper</p>
* <p>[http://pantheon.yale.edu/~sct29/publications.dir/Tatikonda_Thesis.pdf Control Under Communication Constraints] Sekhar Tatikonda, Ph.D. Thesis, MIT. Some of the performance related issues are discussed in this work.</p>
* <p> Stabilizing a linear system with quantized state feedback, D. F. Delchamps, IEEE Transactions on Automatic Control AC-35: 916-924. This work is one of the earlier works to point out the inadequacy of additive white noise approximation of the quantization error. </p>


==  Additional Information ==  
==  Additional Information ==  

Latest revision as of 16:17, 12 March 2009

Prev: Packet loss Course home Next: Estimation over networks

In this lecture, we consider networked control over a digital noiseless channel. The one block design problem is largely unsolved. For the two block design problem, the fundamental result is the data rate theorem, which constrains the data rate required for stabilizing the process. There are interesting issues that arise if further constraints are placed on the memory of the encoder.

Lecture Materials

Further Reading

  • "Feedback control under data rate constraints: an overview", G. N. Nair, F. Fagnani, S. Zampieri, and R. J. Evans, Proceedings of the IEEE, vol. 95, no. 1, pp. 108-37, Jan. 2007. This paper gives a nice overview and provides several references for the general area of control over digital noiseless channels.

  • Control Under Communication Constraints Sekhar Tatikonda, Ph.D. Thesis, MIT. Some of the performance related issues are discussed in this work.

  • Stabilizing a linear system with quantized state feedback, D. F. Delchamps, IEEE Transactions on Automatic Control AC-35: 916-924. This work is one of the earlier works to point out the inadequacy of additive white noise approximation of the quantization error.

Additional Information

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