Discrete Time Saturation Constrained Adaptive Pole Assignment Control

This paper considers discrete time adaptive pole assignment control suject to a saturation control constraint. It establishes the closed loop system stability for a class of type-1 plants. In the presence of plant modeling uncertainties and disturbances it shows that the stability is maintained by implementing a simple fixed deadzone in the parameter estimator. If the plant is free from the modeling uncertainty and disturbance and the control is not saturated for a finite period of time, the closed loop system is characterized by the desired poles within this time period.