The Observer-Based Controller Design of the Discrete-Time Singularly Perturbed Systems

The dynamic feedback control for a class of linear shift-invariant discrete-time singularly perturbed systems with inaccessible states is considered through a separate observer-based controller design for two lower-dimensional subsystems in two different time scales. Sufficient conditions for stability of the original system through the stability of the observer-based controllers of the two lower subsystems are given.