机构地区: 华中科技大学控制科学与工程系系统工程研究所
出 处: 《自动化学报》 2004年第1期155-160,共6页
摘 要: 许多混沌系统可以转化为一个Lur'e系统.本文采用时滞反馈控制技术研究了一般Lur’e系统的混沌同步问题,改进了最近有关文献的结果.通过利用Lyapunov—Krasovskii函数法得到了时滞无关的线性矩阵不等式(LMI)判据,而且还通过利用M-矩阵等方法,得到了易于检验的时滞相关与时滞无关的代数判据,利用这些结果给出了这种反馈控制器的设计方法;最后,给出的例子阐明了所得到的结果. Many chaotic systems can be changed into a Lur'e system. This paper studies chaos synchronization problem based on the general Lur'e systems by using a time-delay feedback technique, and the findings have improved some research results in recent literatures. Some delay-independent LMI criterion is derived by means of Lyapunov-Krasovskii function. Moreover, by using the M-matrix method, some fairly simple delay-dependent and delay-independent algebraic criteria are also established to facilitate the design of such feedback controllers. Finally, some examples are given to illustrate the applications of the theory.