摘要
研究了三阶切换系统的镇定问题.给出三阶线性控制系统,以给定的正定矩阵M作为二次李亚普诺夫函数的新的充分条件.然后,证明了在适当条件下三阶切换系统是二次可镇定的.文中设计出镇定三阶切换系统的反馈控制律,并提出了解决二次镇定问题的直接算法.
The problem of stabilization of third-order switched systems is considered. A new sufficient condition is presented for the third-order linear control system to share a positive definite matrix as a quadratic Lyapunov function. Then, it is proved that the third-order switched systems are quadratically stabilizable under appropriate conditions. The control laws, which stabilize the switched systems, are designed, and a straightforward computation algorithm for solving the quadratic stabilization problem is presented.
出处
《信息与控制》
CSCD
北大核心
2005年第4期457-460,共4页
Information and Control
基金
国家自然科学基金项目(60274020)
