Sufficient condition for stability of decentralized control feedback structures

• Published in: Proceedings of the 36th IEEE Conference on Decision and Control Vol. 3; pp. 2621 - 2622 vol.3
• Main Authors: Abrishamchian, M., Kazemi, M.H.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 1997
• Subjects: Centralized control; Control systems; Distributed control; Economic indicators; Erbium; Large-scale systems; Linear feedback control systems; Sufficient conditions; Thermal stability; Transfer functions
• ISBN: 0780341872; 9780780341876
• ISSN: 0191-2216
• DOI: 10.1109/CDC.1997.657773

We consider the problem of achieving stability for large-scale systems by decentralized diagonal control feedback structures. For this problem, a sufficient condition is proposed such that by satisfying this condition, overall stability of a large scale system is guaranteed by a decentralized diagonal controller; this controller is obtained from the set of controllers stabilizing the system consisting of the diagonal entries of the original system. More specifically, our sufficient condition is in terms of the H/sup /spl infin// norm of the closed loop diagonal transfer function matrix and the structured singular value (/spl mu/) of the off-diagonal state matrix of the system. Furthermore, by an example, we show that our sufficient condition is less conservative than the one proposed by Grosdidier and Morari (1986).