【作者】 张先明； 吴敏； 佘锦华；

【Author】 Zhang XianMing~(1,2), Wu Min~1, She Jinhua~3 (1. Schoole of Information Science and Engineering, Central South University. Hunan Changsha 410083; 2. Schoole of Mathematical Science and Computing Technology. Central South University, Hunan Changsha 410083; 3. School of Bionics. Tokyo University of Technology, Tokyo. 192-0982. Japan)

【机构】 中南大学信息科学与工程学院； 东京工科大学工学部；

【摘要】 本文讨论了线性采样控制系统的鲁棒稳定化问题。首先,将采样控制系统变换为具有分段连续时滞的连续时间模型,然后利用积分不等式及Lvapunov-Krasovskii泛函方法,获得了系统可鲁棒稳定化的、基于LMI的充分条件,同时给出了控制器的设计方法。本文结论表明:对于采样控制系统,采样时间可以不是等距离的,只要最大采样时间间隔不超过某一界限,用本文方法得到的控制器都可以使原系统镇定。最后的数值例子表明了本文方法的有效性。更多还原

【Abstract】 This paper discusses the robust stabilization of a class of linear sampled-data systems. First, the system is modeled as a continuous-time one with a piecewise-continuous delay. Then, by using the integral inequality incorporating with the Lyapunov-Krasovskii functional method, a new robust stabilization criterion based on linear matrix inequality is derived via state feedback controller. The only restriction on the sampling is that the distance between the sequel sampling times is not greater than a certain positive number. Finally. a numerical example is given to demonstrate the validity of the method proposed in the paper.更多还原