# Difference between revisions of "EECI09: Information patterns"

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In this lecture, we look at one of the reasons why networked control systems problems are difficult. Due to the distributed nature of the problem, different controllers may have access to different information sets at every time. We introduce the concept of information patterns, and identify some patterns that permit simple solutions to the optimal control problem. | |||

== Lecture Materials == | == Lecture Materials == | ||

* Lecture slides: | * Lecture slides: [[Media:lecture_info_patterns.pdf|Lecture Summary]] | ||

== Further Reading == | == Further Reading == | ||

* <p> | * <p>"Separation of Estimation and Control for Discrete Time Systems"], H. S. Witsenhausen, Proceedings of the IEEE, vol. 59, no. 11, pp. 1557-1566, Nov. 1971. This paper covers the concept of information patterns and discusses why non-classical information patterns may turn the optimal control problem difficult to solve.</p> | ||

* <p> | * <p>"A Counterexample in Stochastic Optimum Control," H. S. Witsenhausen, SIAM Journal of | ||

Control, vol. 6, no. 1, pp. 131-147, 1968. This paper introduced the counterexample, and proved that a non-linear controller will perform better than the optimal affine controller.</p> | |||

* <p>"Team Decision Theory and Information Structures in Optimal Control Problems - Part I," Y. C. Ho and K. C. Chu, IEEE Transactions on Automatic Control, vol. AC-17, no. 1, pp. 15-22, Jan. 1972. This paper considers the partially nested information structure. </p> | |||

== Additional Information == | == Additional Information == |

## Revision as of 20:21, 10 March 2009

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In this lecture, we look at one of the reasons why networked control systems problems are difficult. Due to the distributed nature of the problem, different controllers may have access to different information sets at every time. We introduce the concept of information patterns, and identify some patterns that permit simple solutions to the optimal control problem.

## Lecture Materials

- Lecture slides: Lecture Summary

## Further Reading

"Separation of Estimation and Control for Discrete Time Systems"], H. S. Witsenhausen, Proceedings of the IEEE, vol. 59, no. 11, pp. 1557-1566, Nov. 1971. This paper covers the concept of information patterns and discusses why non-classical information patterns may turn the optimal control problem difficult to solve.

"A Counterexample in Stochastic Optimum Control," H. S. Witsenhausen, SIAM Journal of

Control, vol. 6, no. 1, pp. 131-147, 1968. This paper introduced the counterexample, and proved that a non-linear controller will perform better than the optimal affine controller.

"Team Decision Theory and Information Structures in Optimal Control Problems - Part I," Y. C. Ho and K. C. Chu, IEEE Transactions on Automatic Control, vol. AC-17, no. 1, pp. 15-22, Jan. 1972. This paper considers the partially nested information structure.

## Additional Information

- Networked Control Systems Repository (M. Branicky and S. Phillipps)
- 2008 lecture page
- Additional links to external information