非因果离散广义大系统的分散镇定

Decentralized Stabilization of Discrete Singular Large-scale Systems with Non-causality

该文利用Lyapunov方法研究了非因果的离散广义线性大系统的渐近稳定性及分散镇定问题。首先给出了镇定非因果广义系统的状态反馈律。其次在子系统正则的条件下,给出了广义大系统渐近稳定的判定定理,设计了镇定离散广义大系统的反馈律。该方法对子系统有无因果关系均适用。最后给出算例说明方法的有效性。

The problem of stability and decentralized stabilization for discrete singular large-scale systems with non-causality is solved by Lyapunov approach in this paper. The state feedback law stabilizing noncausal discrete singular system is given. Under the assumption of the subsystem regularity, a theorem of asymptotic stability of discrete singular large-scale systems is obtained and a feedback law is designed for the decentralized stabilization of discrete singular large-scale systems with non-causality. The given method is fit for all subsystems with or without non-causality. Numerical examples are given to illustrate the results.