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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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)
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
model-reference adaptive control
dynamically normalized signal
multivariable discrete-time systems
LDU factorization
