A Note on Stability and Stabilization of Discrete-time Systems with Time-varying Delay
This paper is concerned with the stability and stabilization problem of the discrete-time systems with timevarying delay. Using “lifting technique, a discrete-time system with time-varying delay is transformed into a switched system. On the basis of theories of switched systems, some necessary and sufficient stability conditions are obtained. However, these conditions are hard to check. Using the switched Lyapunov function approach, some equivalent sufficient stability conditions are developed. Based on these conditions, a state feedback controller with varying gains is designed. Numerical examples are given to show the effectiveness of the proposed method.
Time-delay system Switched system Switched Lyapunov function Linear matrix inequality (LMI)
Jian Sun Jie Chen
School of Automation, Beijing Institute of Technology, Beijing 100081
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1430-1434
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）