Decentralized Controllability And Observability, And Decentralized Stabilization

In this paper the decentralized control of time-invariant linear multivariable systems is considered. The concept of decentralized controllable and observable space in decentralized control systems is introduced and the relationship between the decentralized controllable and observable space and decentralized stabilizability is studied, The sufficent and necessary condition for checking the existence, of fixed modes is presented. By using the result obtained it is easy to determine whether there exist fixed modes without involving complex calculation.