摘要
利用Lyapunov泛函方法研究了具有多个滞后型执行机构的Lurie控制系统的绝对稳定性问题.基于S-过程,构造了一个关于Lyapunov泛函中正定矩阵及积分项系数等自由参数的线性矩阵不等式(LMI),通过这个LMI的解来构造Lyapunov泛函保持了系统的绝对稳定性,无需调整参数.最后给出实例说明了该方法的有效性.
Lyapunov functional method was used to discuss the problem of absolute stability for Lurie control systems with multiple time_delay stationary components. Based on S_procedure, a LMI was obtained for the free parameters such as the positive definite matrix and the coefficients of the integral terms in Lyapunov functional. The Lyapunov functional constructed by the solutions of the LMI is adopted to guarantee the absolute stability of the systems and the parameters don't need to be readjusted. Finally, some examples are provided to demonstrate the effectiveness of the proposed method.
出处
《系统工程学报》
CSCD
2003年第5期466-469,共4页
Journal of Systems Engineering
基金
博士点基金资助项目(2000053303).
