引用本文:田玉平，黄 一，冯纯伯.具有线性和非线性结构式不确定性的多变量系统的鲁棒稳定性[J].控制理论与应用,1998,15(4):531~541.[点击复制]
TIAN Yuping，HUANG Yi，FENG Chunbo.Robust Stability of Multivariable Systemswith Nonlinear and Linear Structured Uncertainties[J].Control Theory and Technology,1998,15(4):531~541.[点击复制]
具有线性和非线性结构式不确定性的多变量系统的鲁棒稳定性
Robust Stability of Multivariable Systemswith Nonlinear and Linear Structured Uncertainties
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DOI编号  
  1998,15(4):531-541
中文关键词  鲁棒稳定性  Lurie系统  结构式不确定性  Popov判据  混合μ
英文关键词  robust stability  Lurie system  structured uncertainties  Popov criterion  mixed μ
基金项目  
作者单位
田玉平，黄 一，冯纯伯  
中文摘要
      本文研究具有多重扇形非线性环节和结构式线性不确定性系统的鲁棒稳定性，给出了检验含参数不确定性和未建模动态的多变量Lurie系统鲁棒绝对稳定的统一判据，并证明了多变量Popov判据和混合μ上界均是该判据的特殊形式，基于Rosenbrock优化算法和内点法，本文还给出了计算这一判据的一种凸优化算法，最后用一计算示例表明本文结果还可用于确定含参数不确定性和未建模动态的Lurie系统的H∞性能.
英文摘要
      The robustness of absolute stability of Lurie system with multiple nonlinearitics and structured linear uncertainties is considered. A unified criterion is obtained for robust absolute stability analysis of the nonlinear system in the presence of parametric uncertainties and unmodeled dynamics. The criterion includes multivariable Popov criterion and the mixed μ upper bound as spe-cial cases. An efficient algorithm based upon Rosenbrock's method and interior-point method is de-veloped for computing the present criterion. An example is given to illustrate the application of the obtained result to the problem of analysis of worst-case H∞. performance of nonlinear control sys-tems with structured parametric and dynamic uncertainties.