一类不确定系统的双曲正切模型控制器设计

摘要

针对一类不确定时滞系统的双曲正切模型稳定控制器设计问题，给出一种基于线性矩阵不等式控制器的设计方法。该方法通过选取合适的 Lyapunov-Krasovskii泛函，并引入自由权矩阵和 Newton-Leibniz 公式，通过解线性矩阵不等式来设计控制增益矩阵，使得系统在控制器的作用下实现稳定。数值算例仿真结果表明，该控制器可以使系统达到稳定，进而说明所给控制器设计方法的有效性。%A new controller method based on linear matrix inequality is proposed for a class of uncertain hyperbolic systems with uncertain time delay. In this new method, an appropriate Lyapunov-Krasovskii function is selected,and free-weighting matrix technique and Newton-Leibniz formula are both introduced in linear matrix inequality.The control gain is obtained by solving linear matrix inequality,which can guarantee the stability of systems.A simulation example is provided to show the controller can stabilize the system,and therefore demonstrate the effectiveness of the proposed method.