An extended approach of inverted decoupling

Centralized Inverted Decoupling Control

“…In the first case, a decoupler [8][9][10][11][12][13][14][15][16] is used to minimize interaction or to make the system diagonal dominant; then, the controllers are designed using some decentralized method. Figure 1a shows the general control scheme of this approach where G(s), D(s) and C(s) are the process matrix, the decoupling matrix and the decentralized control matrix, respectively.…”

Centralized multivariable control by simplified decoupling

“…Some decoupling schemes are static [8], and others are dynamic [9][10][11][12][13][14]. Static decoupling guarantees complete decoupling only for low frequencies, which may not be sufficient for a good performance.…”

“…-1 D(s) = G (s)·Q(s) (1) The main problem of this methodology is the fact that the complexity of decoupler elements and apparent processes increases for high-dimensional MIMO processes, which may require model reductions. An alternative decoupling method, called inverted decoupling, maintains very simple apparent processes and decoupler elements independently of the system size [14]. In addition, inverted decoupling presents several practical advantages on implementation [15].…”

Inter-Communicative Decentralized Multi-Scale Control (ICD-MSC) Scheme: A New Approach to Overcome MIMO Process Interactions

“…Consequently, this often leads to physically unrealizable decoupler elements [22]. Motivated by this disadvantage some researchers have proposed an improved alternative known as the inverted decoupling.…”

“…This modified inverted decoupling technique is able to address the multiple time-delays and RHP zeros. Moreover, Garrido et al [22] presented an extended inverted decoupling method that is applicable to a general n  n MIMO processes.…”