基于K_p=LDU分解的多变量离散时间系统鲁棒模型参考自适应控制  

Robust model-reference adaptive control using K_p=LDU factorization for multivariable discrete-time systems

作　　者：李俊领[1] 陈伟[1] 邵长彬[1] 

机构地区：[1]曲阜师范大学自动化研究所,山东曲阜273165

出　　处：《控制理论与应用》2009年第6期595-600,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60774010);2005年度教育部新世纪优秀人才支持计划资助课题(NCET–05–0607)

摘　　要：针对具有未建模动态且相对阶大于1的一类多变量离散时间系统,利用其高频增益矩阵分解建立新的参数模型,在较弱假设下,进一步研究了直接型鲁棒模型参考自适应控制问题.由离散时间系统的交换引理,建立了闭环系统的所有信号与规范化信号的联系.以一种系统化的方法,严格地分析了闭环系统的稳定性与鲁棒性.For a class of multivariable discrete-time systems with unmodeled dynamics and a relative order greater than one, we develop the parametric models by factorizing the gain matrix in high frequencies. Based on these models, we design a direct robust model-reference adaptive controller under the weak assumptions. By the swapping lemmas for the discrete-time systems, we establish the relations among all signals in the closed-loop with the normalized signals. The stability and robustness of the closed-loop system are analyzed rigorously in a systematic way.

关 键 词：模型参考自适应控制 动态规范化信号 多变量离散时间系统 LDU分解 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]