Trajectory tracking control method based on zero-phase minimum-phase factorization for nonminimum-phase continuous-time system

T. Shiraishi, H. Fujimoto
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引用次数: 4

Abstract

The purpose of this paper is development of high-precision trajectory tracking control for nonminimum-phase continuous-time systems with unstable zeros. This paper proposes a two degree of freedom control system design method that is based on a novel factorization method for nonminimum-phase continuous-time systems. First, nonminimum-phase continuous-time systems is factorized to minimum-phase system and zero-phase system in continuous-time domain. The feedforward controller is constructed from inverse system of each factorized system. The inverse system of the minimum-phase system is designed by multi-rate perfect model following control theory, and the inverse system of zero-phase system is designed by zero-phase FIR filter. Finally, This paper shows the effectiveness of proposed method by simulation and experimental results.
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基于零相位最小相位分解的非最小相位连续系统轨迹跟踪控制方法
本文的目的是研究具有不稳定零点的非最小相位连续系统的高精度轨迹跟踪控制。针对非最小相位连续系统,提出了一种基于新的因子分解方法的二自由度控制系统设计方法。首先,在连续时域将非最小相位连续系统分解为最小相位系统和零相位系统。前馈控制器由各被分解系统的逆系统构造而成。根据控制理论,采用多速率完美模型设计了最小相位系统的逆系统,采用零相位FIR滤波器设计了零相位系统的逆系统。最后,通过仿真和实验结果验证了该方法的有效性。
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