Decentralized guaranteed cost stabilization of time-delay large-scale systems based on reduced-order observers

作者:Xiao Xiaoshi*; Mao Zhizhong
来源:Journal of the Franklin Institute, 2011, 348(9): 2689-2700.
DOI:10.1016/j.jfranklin.2011.08.012

摘要

This paper addresses the problem of decentralized guaranteed cost stabilization (DGCS) of large-scale systems with delays both in the isolated subsystems and interconnections based on reduced-order observers. Sufficient conditions for the existence of delay-independent decentralized guaranteed cost controller (DGCC) are given in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMIs constraints is formulated to design the optimal DGCC which minimizes the guaranteed cost of the closed-loop large-scale systems. Finally, a simulation is performed to show the effectiveness of the proposed control scheme.