Bilinear matrix inequality approach to the absolute stability of interconnected Lurie control systems
Lurie控制系统的关联绝对稳定性—双线性矩阵不等式方法

This paper studies the problem of whether a large-scale Lurie system can achieve absolute stability through effective interconnections or harmonious control between subsystems.Sufficient conditions for the absolute stability of interconnected Lurie control systems are obtained,and the algorithms for calculating the interconnection matrix and parameterizing the harmonious controllers are proposed by using the methods of bilinear matrix inequalities(BMIs).It is shown that two unstable Lurie control systems can be combined into an absolutely stable large-scale system via effective interconnections.The irrational restrictions on interconnections in traditional stability analysis of large-scale systems are eliminated.Finally,examples are given to illustrate the results presented.