Motee, Nader and Jadbabaie, Ali (2009) Approximation methods and spatial interpolation in distributed control systems. In: American Control Conference, 2009. IEEE , pp. 860-865. ISBN 978-1-4244-4523-3 http://resolver.caltech.edu/CaltechAUTHORS:20100507-101357702
- Published Version
Restricted to Repository administrators only
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20100507-101357702
We propose an approximation method to solve large-scale optimal control problems for spatially distributed systems. The finite-section method is employed to construct finite-dimensional approximations to the large-scale optimal control problem. Then, we study the limit behavior of the approximation method and show that the solution of the approximate problems converge strongly to the solution of the large-scale problem. These techniques are applied to design finite-dimensional local optimal controllers. Finally, a spatial interpolation method is proposed that can patch all locally designed controllers to construct a parameterized family of stabilizing controller for the spatially distributed system. Furthermore, we characterize the class of stabilizing controllers which have finite supports.
|Item Type:||Book Section|
|Additional Information:||© 2009 AACC. This work is supported by ONR MURI HUNT N00014-08-1-0696, ONR MURI N000140810747, NSF-ECS-0347285. The authors would like to thank Prof. B. Bamieh for his useful comments and discussions.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||16 May 2010 21:47|
|Last Modified:||26 Dec 2012 12:01|
Repository Staff Only: item control page