Delay-dependent Stability Criterion for Discrete Linear Time-delay Systems with State Saturation Nonlinearity

摘要：

This paper is concerned with stability analysis for discrete linear time delay systems with state saturation nonlinearity. By introducing a free matrix whose infinity norm is less than or equal to 1, the discrete state under state saturation constraint is confined in a convex hull. In this way, a sufficient criterion for discrete linear time-delay systems with state saturation to be asymptotically stable is obtained in terms of bilinear matrix inequalities that can be solved using the presented iterative linear matrix inequality algorithm. The state feedback control law synthesis problem is also solved and the corresponding iterative linear matrix synthesis algorithm is given. Two numerical examples are used to show that the presented method is applicable and effective.

关键词： Discrete linear system time delay state saturation iterative linear matrix inequality

作者: Xiaofu Ji Mingwei Ren Zebin Yang

作者单位: School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P.R.China

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 2559-2564

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）