一类饱和非有理系统状态反馈设计(英文)

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

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.

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.