Memoryless state feedback controller design for time delay systems with matched uncertain nonlinearities

作者：Hua, Chang Chun^*; Wang, Qing Guo; Guan, Xin Ping

来源：IEEE Transactions on Automatic Control, 2008, 53(3): 801-807.

DOI：10.1109/TAC.2008.917658

• backstepping
• multiple time delays
• robust stabilization
• sliding mode control
• time delay systems

The robust control problem for a class of uncertain time-delay systems is investigated. The systems include multiple time delays and uncertain nonlinear functions. To our best knowledge, no controller design method for the systems is reported in the literature except for sliding mode control (SMC). However, the sliding mode controller must use the delayed state of the system, so that the precise time delays have to be known, and also a large memory is needed for controller implementation. To overcome the shortcomings, we employ the backstepping method to design a memoryless state feedback controller. By constructing a novel Lyapunov-Krasovskii functional, we show that the resulting closed-loop system is asymptotically stable. Simulations are done to verify the effectiveness of the proposed method.

• 出版日期2008-4
• 单位中国科学院电工研究所; 燕山大学; 上海交通大学