Abstract
Many real-world systems can be envisaged as the interconnected systems consisting of a number of subsystems. Normally, the desirable control structure for this class of systems is decentralized, which comprises a set of local controllers for the subsystems [1, 2, 3, 4, 5, 6]. Decentralized control theory has found applications in large space structure, communication networks, power systems, etc. [7, 8, 9, 10]. More recently, simultaneous stabilization of a set of decentralized systems and decentralized periodic control design are investigated in [11, 12].
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References
S. H. Wang and E. J. Davison, “On the stabilization of decentralized control systems,” IEEE Transactions on Automatic Control, vol. 18, no. 5, pp. 473–478, 1973.
E. J. Davison and T. N. Chang, “Decentralized stabilization and pole assignment for general proper systems,” IEEE Transactions on Automatic Control, vol. 35, no. 6, pp. 652–664, 1990.
J. Lavaei and A. G. Aghdam, “Elimination of fixed modes by means of high-performance constrained periodic control,” in Proceedings of 45th IEEE Conference on Decision and Control, San Diego, CA, pp. 4441–4447, 2006.
D. D. Šiljak, Decentralized control of complex systems, Cambridge: Academic Press, 1991.
D. D. Šiljak and A. I. Zecevic, “Control of large-scale systems: Beyond decentralized feedback,” Annual Reviews in Control, vol. 29, no. 2, pp. 169–179, 2005.
J. Lavaei and A. G. Aghdam, “A necessary and sufficient condition for the existence of a LTI stabilizing decentralized overlapping controller,” in Proceedings of 45th IEEE Conference on Decision and Control, San Diego, CA, pp. 6179–6186, 2006.
G. Inalhan, D. M. Stipanovic, and C. J. Tomlin, “Decentralized optimization with application to multiple aircraft coordination,” in Proceedings of 41st IEEE Conference on Decision and Control, Vegas, NV., pp. 1147–1155, 2002.
J. Lavaei, A. Momeni and A. G. Aghdam, “High-performance decentralized control for formation flying with leader-follower structure,” in Proceedings of 45th IEEE Conference on Decision and Control, San Diego, CA, pp. 5947–5954, 2006.
J. Lavaei and A. G. Aghdam, “Decentralized control design for interconnected systems based on a centralized reference controller,” in Proceedings of 45th IEEE Conference on Decision and Control, San Diego, CA, pp. 1189–1195, 2006.
S. S. Stankovic, M. J. Stanojevic, and D. D. Šiljak, “Decentralized overlapping control of a platoon of vehicles,” IEEE Transactions on Control Systems Technology, vol. 8, no. 5, pp. 816–832, 2000.
J. Lavaei and A. G. Aghdam, “Optimal periodic feedback design for continuous-time LTI systems with constrained control structure,” International Journal of Control, vol. 80, no. 2, pp. 220–230, 2007.
J. Lavaei and A. G. Aghdam, “Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions,” Automatica, vol. 43, no. 2, pp. 274–280, 2007.
B. L. O. Anderson and D. J. Clements, “Algebraic characterizations of fixed modes in decentralized systems,” Automatica, vol. 17, no. 5, pp. 703–712, 1981.
B. L. O. Anderson, “Transfer function matrix description of decentralized fixed modes,” IEEE Transactions on Automatic Control, vol. 27, no. 6, pp. 1176–1182, 1982.
E. J. Davison and S. H. Wang, “A characterization of decentralized fixed modes in terms of transmission zeros,” IEEE Transactions on Automatic Control, vol. 30, no. 1, pp. 81–82, 1985.
Z. Gong and M. Aldeen, “On the characterization of fixed modes in decentralized control,” IEEE Transactions on Automatic Control, vol. 37, no. 7, pp. 1046–1050, 1992.
Z. Gong and M. Aldeen, “Stabilization of decentralized control systems,” Journal of Mathematical Systems, Estimation, and Control, vol. 7, no. 1, pp. 1–16, 1997.
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Sojoudi, S., Lavaei, J., Aghdam, A.G. (2011). Characterization of Decentralized and Quotient Fixed Modes Via Graph Theory. In: Structurally Constrained Controllers. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1549-8_2
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DOI: https://doi.org/10.1007/978-1-4419-1549-8_2
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