20、工业系统的分布式控制与滤波：从理论到实践

工业系统的分布式控制与滤波：从理论到实践

1. 分布式控制基础

在工业系统的控制领域，分布式控制是一种重要的策略。首先，我们来看一些关键的矩阵定义。有一系列的矩阵元素被定义如下：
- (a_{11} = A_{i}^p + B_{i}^pK_{i}^{\sigma_{k}})
- (a_{12} = -\alpha_{k}\mathbf{u} {\sigma {k}}K_{i}^{\sigma_{k}}B_{i}^p)
- (a_{13} = -B_{i}^p(I - \alpha_{k}\mathbf{u} {\sigma {k}}))
- (a_{21} = A_{i}^p - L_{i}^{\sigma_{k}}\mathbf{y} {i,\sigma {k}}C_{i}^p)
- (a_{31} = K_{i}^{\sigma_{k}}(A_{i}^p - B_{i}^pK_{i}^{\sigma_{k}} - L_{i}^{\sigma_{k}}\mathbf{y} {i,\sigma {k}}C_{i}^p + I))
- (a_{32} = K_{i}^{\sigma_{k}}(A_{i}^p - K_{i}^{\sigma_{k}}B_{i}^p - I))
- (a_{33} = (K_{i}^{\sigma_{k}}B_{i}^p + I)(I - \alpha_{k}\mathbf{u} {\sigma {k}}))
- (a_{41} = \alpha_{k}K_{i}^{\sigma_{k}}B_{i}^pC_{i