摘要
对于不确定性Lurie控制系统 ,给出了一组关于Lurie型Lyapunov函数中正定矩阵和积分项系数等自由参数的线性矩阵不等式 (LMI) ,通过这组线性矩阵不等式解构造的Lyapunov函数来保证系统的鲁棒绝对稳定性 ,不必选择和调整参数。分别讨论了无穷扇形角和有限扇形角的情形 ,所获得的结果适用于系统具有多个非线性执行机构的情形。最后通过实例分析了扇形角的大小与鲁棒稳定度的关系 。
In this paper, a group of LMIs for the free parameters such as the positive definite matrix and the cofficients of the integral terms in the Lyapunov function of Lurie form for uncertain Lurie control systems are given. The Lyapunov function constructed by the solution of these LMIs is adopted to guarantee the robust stability of the systems, and the parameters do not need to be readjusted. The cases of the finite sector and infinite sector are discussed respectively, and the conclusion is applicable to the case of multiple nonlinearities. Finally, an example is provided to demonstrate the effectiveness of the proposed method, and the relation between the size of the sector and the robustness is analyzed.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2003年第1期65-67,共3页
Systems Engineering and Electronics
基金
博士点基金资助课题 ( 2 0 0 0 0 5 3 3 0 3 )
