摘要
针对带有时变有界的不确定参数和状态时滞的线性不确定时滞系统,研究其时滞依赖型具有指定收敛率的鲁棒指数稳定性问题。通过应用Lyapunov-Krasovskii稳定性定理方法,合理建立Krasovskii泛函,利用线性矩阵不等式方法导出了系统鲁棒指数稳定且具有指定收敛率的判据。所得结论采用线性矩阵不等式表示,与时滞参数的导数无关,克服了通常所得结论与时滞导数有关,且要求时滞参数导数小于常数1的限制。应用实例证明了设计方案切实可行。
The robust exponential stability with definite convergence rate for a class of linear uncertain time-delay systems is investigated. The systems under consideration include time-varying bounded uncertain parameters and time-delay in state. The Lyapunov-Krasovskii stability theo- rem is used to aulayze the robust stablility with definite convergence rate based on the linear matrix inequality approach. The result is independent on the sacle of the time-delay and its derivative, where as most existing results are dependent on the time-delay derivative which must be less than a constant which is less than one. An example is applied to show the effectiveness of the method.
出处
《控制工程》
CSCD
2008年第5期526-529,共4页
Control Engineering of China
