一类饱和非有理系统状态反馈设计

State feedback design for a class of non-rational systems subject to actuator saturation

中文关键词  执行器饱和  状态反馈  非线性系统  线性矩阵不等式  吸引域

英文关键词  actuator saturation  state feedback  nonlinear system  linear matrix inequalities  region of attraction

中文摘要

      本文研究了一类饱和非有理系统状态反馈镇定问题. 通过线性分式表示技术, 这类非有理系统可以转化为带有两个非线性回路的线性时不变(linear time-invariant, LTI)系统. 假设非有理函数项分别满足局部扇形区间不等式以及局部Lipschitz条件, 提出了两种基于LMI条件的镇定方法. 最后, 举例证明了所提出方法的有效性.

英文摘要

      This paper focuses on the stabilization of a class of non-rational systems subject to actuator saturation. In particular, by using the linear-fractional representation (LFR) technique, the non-rational system is transformed into a linear time-invariant (LTI) system with two additional feedback loops between nonlinear terms. Assuming that the non-rational term is locally sector -bounded or locally Lipschitz, we propose two kinds of LMI-based synthesis conditions. Finally, a numerical example illustrates the effectiveness of the proposed approaches.