Multi-Objective H∞/r-Stability Optimal Interval Estimation for Linear Discrete-Time Systems and Application to DC Servo Motor

The main goal of this paper is to present a methodology to design multi-objective H∞/r -stability interval estimation for linear discrete-time systems affected by bounded, but unknown disturbances. Compared with H∞ norm criterion that is used to reject the influence of external disturbances on the output under the worst scenario, multi-objective H∞/r-stability interval observer takes pole-placement into account, the poles of the system matrix of the observes are configured as close as possible to the origin. This is to ensure not only a relatively fast convergence characteristic but also the minimum interval width. Finally, an illustrative example of a DC servo motor highlights the performance of our methodology.