Optimality and Robust Stability of the Minimum-Phase State Control System

Abstract

Acording to the principle of Bode, there is the minimum-phase state as the output of minimum-phase function in the controlled object. In this paper the minimum-phase state observer/control system is shown to have abilities for optimality and robustness. The assignment of zeros in the characteristic polynomials w_wD(s) and f₀(s) are chosen for the design of optimality and robust stability, corresponding to the additive characteristic deviation anticipated for the controlled object. Numerical example shows the minimum-phase state observer/control system can be optimal and also restrain the deviation from unstability.