On λ-matrices and their applications in MIMO control systems design

Internal stability improvement of a natural gas centrifugal compressor system based on a new optimal output feedback controller using block transformation and grey wolf optimizer

“…weakly controllable and observable states using model order reduction approaches. Either by our proposition of decoupling the model into block transformable part, and the other part controlled independently using classical pole placement method (Bekhiti et al, 2018).…”

“…In this appendix we introduce preliminaries on block canonical form transformation (CBT) which consider basic tools for constructing the proposed controller (Shieh et al, 1983), (Bekhiti et al, 2018) and (Yaici and Hariche, 2014). In the following the state space representation of a linear multivariable discrete-time system:…”