A scalable method for continuous-time distributed control synthesis

Proceedings of the American Control Conference

Volumn , Issue , 2012, Pages 6308-6313

  Martensson, Karl ^a   Rantzer, Anders ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLERS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; LARGE SCALE SYSTEMS; SCALABILITY;

COMMUNICATION STRUCTURES; DISTRIBUTED CONTROL; DISTRIBUTED CONTROLLER; DISTRIBUTED SYSTEMS; GRAPH STRUCTURES; PERFORMANCE DEGRADATION; SCALABLE METHODS; SYNTHESIS METHOD;

CONTINUOUS TIME SYSTEMS;

EID: 84869463504     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2012.6314762     Document Type: Conference Paper

References (17)

1. Bassam Bamieh, Fernando Paganini, and Munther A. Dahleh. Distributed control of spatially invariant systems. IEEE Transactions on Automatic Control, 47(7), July 2002.
2. Bassam Bamieh and Petros G. Voulgaris. A convex characterization of distributed control problems in spatially invariant systems with communication constraints. Systems & Control Letters, 54(6):575-583, June 2005.
3. P. Benner, J.-R. Li, and T. Penzl. Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Numerical Linear Algebra with Applications, 15:755-777, November 2008.
4. D. Bini, B. Iannazzo, and B. Meini. Numerical Solution of Algebraic Riccati Equations. Society for Industrial and Applied Mathematics, 2011.
5. Ather Gattami. Generalized linear quadratic control theory. In Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, December 2006.
6. Yu-Chi Ho and Kai-Ching Chu. Team decision theory and information structures in optimal control problems-Part I. IEEE Transactions on Automatic Control, 17(1):15-22, Feb 1972.
7. Cédric Langbort, Ramu Sharat Chandra, and Raffaello D'Andrea. Distributed control design for systems interconnected over an arbitrary graph. IEEE Transactions on Automatic Control, 49(9):1502-1519, September 2004.
8. Fu Lin, M. Fardad, and M.R. Jovanovic. Augmented lagrangian approach to design of structured optimal state feedback gains. IEEE Transactions on Automatic Control, 56(12):2923-2929, dec. 2011.
9. J. Marschak. Elements for a theory of teams. Management Sci., 1:127-137, 1955.
10. Karl Mårtensson and Anders Rantzer. Sub-optimality bound on a gradient method for iterative distributed control synthesis. In Proc. 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary, July 2010.
11. R. Radner. Team decision problems. Ann. Math. Statist., 33(3):857-881, 1962.
12. Anders Rantzer. A separation principle for distributed control. In Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, December 2006.
13. M. Rotkowitz and S. Lall. A characterization of convex problems in decentralized control. IEEE Trans. on Automatic Control, 51(2):274-286, Feb 2006.
14. Michael Rotkowitz and Sanjay Lall. Decentralized control information structures preserved under feedback. In Proceedings of the IEEE Conference on Decision and Control, December 2002.
15. Nils R. Sandell and Michael Athans. Solution of some nonclassical LQG stochastic decision problems. IEEE Transactions on Automatic Control, 19(2):108-116, April 1974.
16. C. Wenk and C. Knapp. Parameter optimization in linear systems with arbitrarily constrained controller structure. IEEE Transactions on Automatic Control, 25(3):496-500, jun 1980.
17. H.S. Witsenhausen. A counterexample in stochastic optimum control. SIAM Journal on Control, 6(1):138-147, 1968.