Fixed-Order l_1-Control for Systems with Time-Delay  

作　　者：Liu Yungang, Shi Songjiao & Qin Bin (Dept. of Automation, Shanghai Jiaotong University, 200030, P. R. China) 

出　　处：《Journal of Systems Engineering and Electronics》2000年第3期40-52,共13页系统工程与电子技术（英文版）

摘　　要：In this paper, fixed-order l1-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback l1-control and dynamic output-feedback l1-control are obtained. This paper also gives the forms of solution to l1-controller. In the paper, the problem is not cast into infinite dimensional constrained convex optimal problem, but an upper bound of l1-norm is optimized. Although the l1-control is sub-optimal, the analysis and design are simple. The result of the paper improves and develops the l1-control method.In this paper, fixed-order l1-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback l1-control and dynamic output-feedback l1-control are obtained. This paper also gives the forms of solution to l1-controller. In the paper, the problem is not cast into infinite dimensional constrained convex optimal problem, but an upper bound of l1-norm is optimized. Although the l1-control is sub-optimal, the analysis and design are simple. The result of the paper improves and develops the l1-control method.

关 键 词：Time-delay systems l1-control State feedback Dynamic output-feedback Linear  matrix inequality (LMI). 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]