具有H2/H∞混合性能约束的离散系统的极点配置
POLES ASSIGNMENT CONSTRAINED BY MIXED H2/H∞ PERFORMANCE FOR DISCRETE SYSTEMS
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摘要: 本文主要研究具有H2/H∞混合性能约束的线性离散系统的极点配置问题，首先将这一问题转化为一个具有H∞性能和系统闭环极点位置约束的系统H2性能优化问题，进而通过引入一个辅助性能函数，进一步将其转化成有一个矩阵方程约束的辅助性能函数的最小化优化问题，并给出这个问题静态输出反馈和状态反馈控制器的解的表达式．Abstract: This paper studies the problem of poles assignment constrained by mixed H2/H∞ performances for discrete systems. First, this problem is converted into the problem of H2 optimization constrained by H∞ performance and poles'location. Then an auxiliary performnce function is introduced to replace the former problem by the problem of minimization of the auxiliary performance. At last this problem is solved by Lagrange multipliers, and the static output feedback and state feedback controllers are desisned.
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Keywords:
- discrcte system /
- feedback control /
- poles assinment /
- mixed H2/H∞ control
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[1] Kim S B,Furuta K.Regulator Design with Poles in a Specified Region.Int J Contr.1988;47,143-160 [2] Beratein D S,Haddad W M.Controller Design with Regional Pole Constraints.IEEE Trana,Auto Contr,1992.AC-37,54-69 [3] 袁立嵩,蒋慰孙.鲁捧控制的一个新方向——H2/H∞混合控制.工业过程模型化与控制.1993,5
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