关联大系统的中性化分散控制与稳定性

Stability and Neutral Decentralized Control for Large-scale Interconnected Systems

本文提出了一种新的关联大系统中性化分散控制方法,可以使大系统处于非中性关联时的性能等同于子系统全解耦时的性能,确保各子系统有完全的自主性,避免了大系统的参数阵出现摄动,从而改进了关联大系统的整体性能。文中根据向量李亚普诺夫函数,在解耦分散控制子系统渐近稳定的条件下,提出了一种根据中性化关联矩阵判断关联大系统稳定性的方法。

In this paper, a new method of neutrally decentralized control for large-scale interconnected systems is proposed. This makes the performance of an unneutrally interconnected large-scale system become the same as that of a system of which subsystems can be totally decoupled. This method ensures that each subsystem becomes entirely independent, which avoils perturbation in parameter matrix of the large-scale system and improves the total performance of the large-scale interconnected system. Under the asymptotic stability conditions of decoupled decentralized control subsystems, an approach by vector Lyapunov functions is presented to determine the stability of large-scale interconnected systems according to the nature of neutral connected matrix.