论文部分内容阅读
针对带有状态时滞的不确定线性时滞系统,基于Lyapunov稳定性理论,利用线性矩阵不等式方法讨论了系统鲁棒指数镇定的问题,提出了相应的无记忆状态反馈控制器设计方案。以线性矩阵不等式的形式给出控制器存在的充分条件,其中时滞参数为时变未知有界的,参数不确定性为时变未知满足匹配条件。所得结论与时滞参数及其导数均无关,克服了通常所得结论与时滞导数有关且要求时滞参数的导数小于某个小于1的常数的限制。应用实例证明了设计方案切实可行。
Aiming at the uncertain linear time-delay system with state delay, the problem of robust exponential stabilization of the system is discussed based on the Lyapunov stability theory and the linear matrix inequality (LMI) method, and the corresponding memoryless state feedback controller design is proposed. The sufficient condition for the existence of controller is given in the form of linear matrix inequality, in which the time-varying parameters are unknown bounded time-varying, and the parameter uncertainties are time-varying to satisfy the matching condition. The obtained conclusion has nothing to do with the time delay parameter and its derivative, and overcomes the limitation that the general conclusion is related to the time delay derivative and requires the derivative of the time delay parameter to be smaller than a constant smaller than 1. The application example proves that the design scheme is feasible.