一类扩展结构大系统的分散有限时间鲁棒关联镇定

Decentralized finite-time robust connective stabilization for a class of large-scale systems with expanding construction

研究一类扩展结构大系统分散有限时间鲁棒关联镇定问题.扩展结构大系统是在原结构系统上增加新子系统而构成的,在原系统分散控制律确定不变的情况下,设计新加入子系统的鲁棒分散控制律,使扩展后的系统仍能保持有限时间关联稳定.利用LMI方法推导此类系统基于状态反馈和输出反馈的分散有限时间关联镇定的充分条件,并给出扩展子系统的相应控制器的设计方法.最后通过仿真实验表明了所提出方法的可行性和有效性.

The decentralized finite-time robust connective stabilization problem for a class of large-scale systems with expanding construction is studied. These large-scale systems with the expanding construction are the systems constituted by adding new subsystems on the original ones. The problem is to design the robust decentralized control law of the newly added subsystem on the basis of not changing the decentralized control laws of original construction, so that the expanded system can keep finite-time connective stability. The sufficient conditions of the decentralized finite-time connective stabilization for this kind of systems are deduced by using LMI method, which is based on state feedback and output feedback. And the design method of corresponding controller for expanding subsystem is given. Simulation results show the feasibility and effectiveness of the proposed method.