一类广义互联大系统结构重构的鲁棒分散关联镇定

Robust Decentralized Connective Stabilization for a Class of Large-scale Descriptor Interconnected Systems With Structural Reconstruction

研究了一类广义互联大系统结构重构时的鲁棒分散关联镇定问题.首先给出广义互联大系统结构重构的数学描述,然后利用Lyapunov稳定性理论和线性矩阵不等式(LMI)的方法,在广义大系统容许性的基础上,给出了广义互联大系统及广义扩展结构大系统鲁棒分散关联镇定的充分条件及状态反馈控制器的设计方法.最后通过仿真算例验证了所提出算法的有效性.

A robust decentralized connective stabilization problem of a class of large-scale descriptor interconnected systems with structural reconstruction was studied in this paper. The structural reconstruction included two cases in which some subsystems may be disconnected and then reconnected,as well as some new subsystems were added to an original structure. Firstly,the mathematical description of the large-scale descriptor interconnected system was given when the structure of the system changed.Then,the sufficient conditions of robust decentralized connective stabilization for large-scale descriptor interconnected systems and the one with expanding construction under the premise of admissibility of the large-scale descriptor systems was obtained by using Lyapunov theory and LMI approach. And the design approach of the state feedback controllers was presented. Finally,a numerical example was given to show the effectiveness of the proposed approach.