Stability of the observer-based pole placement for discrete time-varying non-lexicographically-fixed systems

This paper concerns the observer-based pole placement control for MIMO time varying non-lexicographically-fixed discrete systems. If both of the reachability indices and the observability indices are non-lexicographically-fixed, augmented plant equation and augmented observer are needed. Design procedure of this control system is proposed and the stability and the separation principle of the total closed loop system is also shown.