Abstract
In this paper, we propose a decomposition strategy based computing method to solve a cooperative control problem. The test results show that the proposed method has computational efficiency with respect to the conventional approach of the centralized Newton method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bellingham, J., Tillerson, M., Richards, A.: How, Multi-task allocation and path planning for cooperating UAVs. In: Cooperative Control: Models, Applications Algorithms. ch. 2, Kluwer, Boston (2003)
Inalhan, G., Stipanovic, D.M., Tomlin, C.J.: Decentralized optimization with application to multiple aircraft coordination. In: Proc. IEEE Conf. Decision Control, Las Vegas, NV, pp. 1147–1155 (2002)
Burchett, H., Happ, H., Vierath, D.R.: Quadratically Convergent Optimal Power Flow. IEEE Trans. Power Appar. Syst. PAS-104(11), 3267–3275 (1985)
Giras, T.C., Talukdar, S.N.: Quasi-Newton Method for Optimal Power Flows. Int. J. Electr. Power Energy Syst. 3(2), 59–64 (1981)
Sun, D., Ashly, B., Brewer, B.: Optimal Power Flow by Newton Approach. IEEE Trans. Power Appar. Syst. PAS-103, 2864–2880 (1984)
Monticoll, A., Liu, W.: Adaptive movement penalty method for Newton Optimal Power flow. IEEE Trans. on Power Syst. 7, 334–340 (1992)
Leventhal, T., Nemhauser, G., Trotter, JR.: A Column Generation Algorithm for Optimal Traffic Assigment. Trans. Sci. 7(2), 168–176 (1973)
Zecevic, A.I., Siljak, D.D.: A block-parallel Newton method via overlapping epsilon decompositions. SIAM Journal on Matrix Algebra and Applications (1994)
Sezer, M.E., Siljak, D.D.: Nested epsilon decompositions and clustering of complex system. Automatica 22, 321–331 (1991)
Gould, R.: Graph Theory, Benjamin/Cummings, Menlo Park, CA (1988)
Luenberger, D.: Linear and nonlinear programming, 2nd edn. Addison-Wesley, London (1984)
Lin, C., Lin, S.: A new dual-type method used in solving optimal power flow problems. IEEE Trans. on Power Syst. 12(4), 1667–1675 (1997)
Lin, S., Lin, C.: A computationally efficient method for nonlinear multicommodity network flow problem. Network 225–244 (1997)
Lin, S.-Y., Lin, S.-S.: A parallel block scaled gradient method with decentralized step-size for block additive unconstrained optimization problems of large distributed systems. Asian Journal of Control 5(1), 104–115 (2003)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lin, SS. (2007). A Decomposition Strategy Based Trusted Computing Method for Cooperative Control Problem Faced with Communication Constraints. In: Xiao, B., Yang, L.T., Ma, J., Muller-Schloer, C., Hua, Y. (eds) Autonomic and Trusted Computing. ATC 2007. Lecture Notes in Computer Science, vol 4610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73547-2_36
Download citation
DOI: https://doi.org/10.1007/978-3-540-73547-2_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73546-5
Online ISBN: 978-3-540-73547-2
eBook Packages: Computer ScienceComputer Science (R0)