Control design for one-sided Lipschitz nonlinear differential inclusions
Control design for one-sided Lipschitz nonlinear differential inclusions
复制标题
单侧Lipschitz非线性微分夹杂控制设计
DOI：
10.1016/j.isatra.2013.12.005
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发表时间：
2014
期刊：
影响因子：
7.3
通讯作者：
Zhang Wei
中科院分区：
文献类型：
--
作者：
Cai Xiushan;Gao Hong;Liu Leipo;Zhang Wei
本文研究了单侧Lipschitz非线性微分包体（ndi）的镇定和信号跟踪控制。基于线性矩阵不等式理论，给出了闭环系统指数镇定的充分条件。进一步将设计方法推广到单侧Lipschitz ndi的信号跟踪控制中。设计了一种控制律，使闭环系统的状态渐近跟踪参考信号。最后，给出了两个数值算例来说明所提设计方法的有效性。
This paper considers stabilization and signal tracking control for one-sided Lipschitz nonlinear differential inclusions (NDIs). Sufficient conditions for exponential stabilization for the closed-loop system are given based on linear matrix inequality theory. Further, the design method is extended to signal tracking control for one-sided Lipschitz NDIs. A control law is designed such that the state of the closed-loop system asymptotically tracks the reference signal. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique.