RobustH∞control for a class of quasi-linear uncertain stochastic time-varying delayed systems

作者：Zhang, Tianliang; Sun, Pengxiang; Deng, Feiqi; Zhang, Weihai^*

来源：ASIAN JOURNAL OF CONTROL, 2020, 22(5): 1755-1766.

DOI：10.1002/asjc.2094

• H(infinity)control
• nonlinearity
• robust stability and stabilizability
• time-varying delays
• uncertainty

This paper studies theH(infinity)control for a class of quasi-linear uncertain stochastic time-varying delayed systems. Firstly, by using the linear matrix inequality (LMI) method, a sufficient condition is obtained for the robustly stochastic stability. Secondly, the robustH(infinity)state feedback controller is designed, such that the considered system is not only internally stochastically stabilizable but also satisfies the robustH(infinity)performance. The desired robustH(infinity)controller is obtained via solving some LMIs. Finally, one example is provided to demonstrate the effectiveness of the proposed method.