摘要
讨论了非线性齐次时滞系统的H∞控制问题.首先给出了非线性仿射齐次时滞系统的Lyapunov泛函V(x)具体形式,选取适当的λ* ,使得当λ>λ*时系统的Hamilton-Jacobi-Isaacs不等式有解,从而解决了系统的L2 增益问题.文章最后构造了具体状态反馈控制律u(x) ,使时滞Lyapunov泛函V(x)沿闭环系统轨线导数小于零,保证了系统的渐进稳定性,因而解决了系统的H∞控制问题.
The problem of H ∞ control and related L 2 gain of nonlinear time-delay systems with homogeneous properties are considered. First of all, Lyapunov function of the systems are given. Then there is a λ * selected suitable, such that λ *>λ Hamilton-Jacobi-Issacs ineaualitis hold. Finally the nonlinear H ∞ control law is given and the problem of H ∞ control of nonlinear time-delay with homogeneous properties is solved.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第5期168-175,共8页
Mathematics in Practice and Theory
