Further Results on the Set Invariance Approach to Stability Analysis of Linear Systems under Saturated Linear Feedback

摘要：

Ellipsoids, as level sets of quadratic Lyapunov functions, and the convex hull of ellipsoids, as a level set of a certain composite quadratic Lyapunov function, have both been extensively used as estimates of the domain of attraction of a linear system under saturated linear feedback. By expressing the saturated linear feedback law on the convex hull of a group of linear feedback laws, conditions have been established under which an ellipsoid or the convex hull of a group of ellipsoids are contractively invariant sets and are thus estimates of the domain of attraction. These conditions are usually less conservative for single input systems than for multiple input systems. In this paper, we consider multiple input systems and establish conditions for contractive invariance of both ellipsoids and convex hull of ellipsoids that are less conservative than the existing conditions.

关键词： Actuator saturation composite Lyapunov function domain of attraction set invariance

作者: Yuanlong Li Zongli Lin

作者单位: Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and In Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and In

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: 343-348

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）