【摘要】 利用线性矩阵不等式(LMI),讨论了一类非线性时滞广义系统的状态反馈控制问题.通过对非线性映射Frechet导数的逆矩阵的估计,给出了系统渐近稳定的充分条件.这一条件与时滞相关,可归结为一个线性矩阵不等式的可解性.在LMI有解的条件下,可得到系统状态反馈控制器的参数表示.数值实例表明该方法是有效的.更多还原

【Abstract】 The state feedback control problem for a class of nonlinear singular systems with time-delay is discussed in terms of linear matrix inequality(LMI) approach.By the estimation of the inverse matrix for Frechet derivate of a nonlinear mapping,a delay-dependent condition is proposed,which guarantees the asymptotic stability of the solution to the systems.Also the condition is equivalent to the feasible solution of LMI.A parameterized representation of controller based on state feedback can be obtained under such a condition.Finally,numerical examples illustrate the effectiveness of the approach.更多还原