Perfect Tracking Control of Nonminimum Phase Systems in Magnetic Levitation System

Feng LI; Jianming LU; Xueqin ZHAO; Takashi YAHAGI

doi:10.1093/ietfec/e89-a.5.1437

Perfect Tracking Control of Nonminimum Phase Systems in Magnetic Levitation System

Feng LI, Jianming LU, Xueqin ZHAO, Takashi YAHAGI

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In this paper, we study the problem of perfect tracking control of nonminimum phase systems in magnetic levitation system. Generally, perfect tracking control schemes cannot be applied to nonminimum phase plants because of unstable pole-zero cancellations. Although the method of state matching using multirate feedforward control to realize perfect tracking control have been proposed, the oscillation restraint and the feasibility in nonminimum phase system cannot be satisfied at same time. We propose a method using the difference of state variables to generate a smooth desired state variable trajectory in the discrete-time systems. The techniques we proposed are applicable to nonminimum phase discrete-time systems and the oscillations between the sampling points are well restrained. We will show that the structure of the proposed perfect tracking controller is very simple and clear. Finally, computer simulations and experiment results based on magnetic levitation apparatus are presented.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.5 pp.1437-1445

Publication Date: 2006/05/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.5.1437

Type of Manuscript: PAPER

Category: Systems and Control

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Feng LI, Jianming LU, Xueqin ZHAO, Takashi YAHAGI, "Perfect Tracking Control of Nonminimum Phase Systems in Magnetic Levitation System" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 5, pp. 1437-1445, May 2006, doi: 10.1093/ietfec/e89-a.5.1437.
Abstract: In this paper, we study the problem of perfect tracking control of nonminimum phase systems in magnetic levitation system. Generally, perfect tracking control schemes cannot be applied to nonminimum phase plants because of unstable pole-zero cancellations. Although the method of state matching using multirate feedforward control to realize perfect tracking control have been proposed, the oscillation restraint and the feasibility in nonminimum phase system cannot be satisfied at same time. We propose a method using the difference of state variables to generate a smooth desired state variable trajectory in the discrete-time systems. The techniques we proposed are applicable to nonminimum phase discrete-time systems and the oscillations between the sampling points are well restrained. We will show that the structure of the proposed perfect tracking controller is very simple and clear. Finally, computer simulations and experiment results based on magnetic levitation apparatus are presented.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.5.1437/_p

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@ARTICLE{e89-a_5_1437,
author={Feng LI, Jianming LU, Xueqin ZHAO, Takashi YAHAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Perfect Tracking Control of Nonminimum Phase Systems in Magnetic Levitation System},
year={2006},
volume={E89-A},
number={5},
pages={1437-1445},
abstract={In this paper, we study the problem of perfect tracking control of nonminimum phase systems in magnetic levitation system. Generally, perfect tracking control schemes cannot be applied to nonminimum phase plants because of unstable pole-zero cancellations. Although the method of state matching using multirate feedforward control to realize perfect tracking control have been proposed, the oscillation restraint and the feasibility in nonminimum phase system cannot be satisfied at same time. We propose a method using the difference of state variables to generate a smooth desired state variable trajectory in the discrete-time systems. The techniques we proposed are applicable to nonminimum phase discrete-time systems and the oscillations between the sampling points are well restrained. We will show that the structure of the proposed perfect tracking controller is very simple and clear. Finally, computer simulations and experiment results based on magnetic levitation apparatus are presented.},
keywords={},
doi={10.1093/ietfec/e89-a.5.1437},
ISSN={1745-1337},
month={May},}

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TY - JOUR
TI - Perfect Tracking Control of Nonminimum Phase Systems in Magnetic Levitation System
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1437
EP - 1445
AU - Feng LI
AU - Jianming LU
AU - Xueqin ZHAO
AU - Takashi YAHAGI
PY - 2006
DO - 10.1093/ietfec/e89-a.5.1437
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2006
AB - In this paper, we study the problem of perfect tracking control of nonminimum phase systems in magnetic levitation system. Generally, perfect tracking control schemes cannot be applied to nonminimum phase plants because of unstable pole-zero cancellations. Although the method of state matching using multirate feedforward control to realize perfect tracking control have been proposed, the oscillation restraint and the feasibility in nonminimum phase system cannot be satisfied at same time. We propose a method using the difference of state variables to generate a smooth desired state variable trajectory in the discrete-time systems. The techniques we proposed are applicable to nonminimum phase discrete-time systems and the oscillations between the sampling points are well restrained. We will show that the structure of the proposed perfect tracking controller is very simple and clear. Finally, computer simulations and experiment results based on magnetic levitation apparatus are presented.
ER -