Decentralized H-infinity control for large-scale interconnected nonlinear time-delay systems via LMI approach

作者：Thanh Nguyen T; Phat Vu N^*

来源：Journal of Process Control, 2012, 22(7): 1325-1339.

DOI：10.1016/j.jprocont.2012.06.005

• H-infinity control
• Large-scale system
• Decentralized control
• Nonlinear systems
• Interval time-varying delay
• Lyapunov function
• Linear matrix inequalities

In this paper, the problem of H-infinity control of nonlinear large-scale systems with interval time-varying delays in interconnection is considered. The time delays are assumed to be any continuous functions belonging to a given interval involved in both the state and observation output. By constructing a set of new Lyapunov-Krasovskii functionals, which are mainly based on the information of the lower and upper delay bounds, a new delay-dependent sufficient condition for the existence of decentralized H-infinity control is established in terms of linear matrix inequalities (LMIs). The approach is applied to decentralized H-infinity control of uncertain linear systems with interval time-varying delay. Numerical examples are given to show the effectiveness of the obtained results.

• 出版日期2012-8