Novel optimal guaranteed cost control of non-linear systems with mixed multiple time-varying delays

作者：Thuan Viet Mai^*; Thanh Huyen Thi Nguyen

来源：IMA Journal of Mathematical Control and Information, 2011, 28(4): 475-486.

DOI：10.1093/imamci/dnr020

• guaranteed cost control
• stability
• stabilization
• non-linear systems
• Lyapunov method
• linear matrix inequality

This paper deals with the problem of optimal guaranteed cost control for non-linear systems with mixed multiple time-varying delays. A linear quadratic cost function is considered as a performance measure for the closed-loop system. By constructing a set of time-varying Lyapunov-Krasovskii functional combined with linear matrix inequality (LMI) technique, a guaranteed cost controller design is presented and sufficient conditions for the existence of a guaranteed cost state-feedback for the system are given in terms of LMIs. A numerical example is given to illustrate the effectiveness of the obtained result.

• 出版日期2011-12