不确定奇异分数阶互联系统非脆弱分散 Ｈ∞ 控制.

The non-fragile decentralized H∞ control problems for uncertain singular fractional-order interconnected systems with commensurate order 0<α<1 are studied. The existing criteria for admissibility and H∞ performance of singular fractional-order linear systems are extended. And the new criteria are given in the form of strict linear matrix inequality. Based on those conclusions, through analysis of the special structure of interconnected systems, under additive and multiplicative disturbances of controller gains, sufficient conditions for the existence of non-fragile decentralized H∞ controllers and their design methods are given by using linear matrix inequalities and matrix decomposition technology. In the design process of controllers, the interconnected matrices are not limited and strict linear matrix inequality criteria are obtained, which reduce conservatism of the systems to a certain extent. The effectiveness of the proposed methods is verified by LMI toolbox and Simulink numerical simulation. [ABSTRACT FROM AUTHOR]