多变量系统的鲁棒性极点配置及其在造纸过程中的应用

ROBUST POLE ASSIGNMENT FOR MULTIVARIABLE UNCERTAIN SYSTEMS

  • 摘要: 本文以造纸过程为应用对象研究了多变量系统的稳定鲁棒性极点配置问题.提出了一个最佳鲁棒性能指标r(NT(WA)),依据此指标利用多变量极点配置状态反馈阵的非唯一性,开发了一个最佳鲁棒性极点配置的综合算法,由该算法设计的控制系统,在设计模型存在较大误差下仍能保证实际系统具有良好的闭环性能.仿真及实际应用证明,本文所做的工作比较成功有意义,可供实用.

     

    Abstract: In this paper,a multivariable system is described by a time-invariant model obtained from real system step responses and the uncertainty is represented by the difference between model step responses and real system ones.A state feedback law is designed such that the closed-loop system consisting of model and controller has the prescribed pole locations and at the same time the largest stability margin is searched via optimization techniques for the remained free gains in state feedback matrix.This method is applied to papermachine control and satisfactary performance robustness results.

     

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