不确定非线性时滞系统的无源控制

Passive control of uncertain nonlinear time-delay system

研究了一类仿射非线性时滞系统的无源性问题.通过选取一种新的Lyapunov泛函,得到了非线性时滞系统无源的充分必要条件,然后推广到不确定非线性时滞系统,得到了系统鲁棒无源的充分条件.将其应用到一些特殊的非线性时滞系统,与相关文献相比,所得结论更具一般性.

The passivity of affine nonlinear time-delay system is investigated. A sufficient and necessary condition about passivity of nonlinear time-delay system is obtained by choosing a new Lyapunov function. Then the passivity of uncertain nonlinear time-delay system is considered, and a sufficient condition is given. Its application to some kinds of time-delay system shows the conclusions are more general than others appeared in relative reference.