Precise Tracking for Continuous‐Time Non‐Minimum Phase Systems

Abstract

Stable inversion based precise tracking for continuous‐time square or nonsquare non‐minimum phase systems is studied. However, high precision trajectory tracking of non‐minimum phase systems can be obtained by the stable inversion method but requiring large enough extended time interval. In order to solve this problem of large extended time restriction, a novel approach to precise trajectory tracking of non‐minimum phase systems is proposed, it is called the improved stable inversion (ISI) method, using an optimal integration of the pre‐actuation and the optimal state transition (OST) techniques. The ISI method can obtain precise trajectory tracking with a smaller extended time interval as compared to the stable inversion method. The proposed method achieves better validation through numerical simulations for the non‐minimum phase system.

Discrete sliding mode control with optimal generalized sliding function for non-minimum phase system

“…Non-minimum phase systems (NMPS) pertain to many engineering systems, such as Quadratic Buck DC-DC, 1 cart-inverted pendulum, 2 one-link flexible manipulator, 3 Van Vussen reactor, 4 Buck-boost converter 5 and many more. NMPS admits one of the zeros of its transfer function unstable.…”