摘要
本文对于区间Lurie控制系统,基于区间矩阵的等价描述和S-过程,构造了关于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LMI的解构造的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。不仅讨论了无穷扇形角的情形,而且还讨论了有限扇形角的情形,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。最后给出一个实例说明本文方法的有效性,并通过实例分析了扇形角的大小与鲁棒稳定度的关系。
Based on the equivalent description of interval matrices and S-procedure , an LMI is given for the free parameters such as the positive definite matrix and the coefficients of the integral terms of the Lurie-type Lyapunov function for interval Lurie control systems. The Lyapunov function constructed by the solution of the LMI is adopted to guarantee the robust absolute stability of the systems, and the parameters don't need to be readjusted. Not only the case of the finite sector but also the infinite sector are discussed, and the conclusion is applicable to the case of multiple non-linearity. Finally, an example is provided to demonstrate the effectiveness of proposed method, and the relationship between the size of the sector and the robustness is analyzed through the example.
出处
《电路与系统学报》
CSCD
2003年第4期8-15,7,共9页
Journal of Circuits and Systems
基金
博士点基金资助项目(2000053303)
