Abstract
In this paper we propose design methods of adaptive deadbeat controller for non-minimum phase deterministic linear systems, based on weighted control criteria.
First, we will construct a basic controller on the basis of the weighted control criterion of the reference input, control input and system output. For the basic controller we use a stable compensator to guarantee the stability of the closed loop system. Adaptive deadbeat control is thus possible for unstable and/or non-minimum phase systems.
We introduce special control criteria to determine the control polynomial parameters. Several adaptive deadbeat control laws are proposed:
1 Minimizing the tracking error
2 Minimizing the effect of the disturbance
3 Minimizing the sensitivity function to reduce the effect of estimation error of parameters.
The controllers used have two degrees of freedom. The pre-compensator is not rational, but polynomials. Therefor the calculation of the controller is relatively simple.
Finally, the effectiveness of proposed methods is shown through simulation for non-minimum phase plants.
