A GENERALIZED APPROACH TO STABILIZATION OF LINEAR INTERCONNECTED TIME-DELAY SYSTEMS

作者：Mahmoud, Magdi S.^*; Xia, Yuanqing

来源：Asian Journal of Control, 2012, 14(6): 1539-1552.

DOI：10.1002/asjc.419

• Dissipativity
• interconnected time-delay systems
• delay-dependent stability
• local state-feedback
• LMIs

The objective of this paper is to propose a generalized approach to stabilization of systems which are composed of linear time-delay subsystems coupled by linear time-varying interconnections. The proposed algorithms, which are formulated within the convex optimization framework, provide decentralized solutions to the problem of delay-dependent asymptotic stability with strict dissipativity. It is established that the new methodology can reproduce earlier results on passivity, positive realness and disturbance attenuation. Then a decentralized structure of dissipative state-feedback controllers is designed to render the closed-loop interconnected system delay-dependent asymptotically stable with strict dissipativity. Numerical examples are presented to illustrate the applicability of the design method.

• 出版日期2012-11
• 单位中国石油大学（北京）; 北京理工大学