Direct model reference adaptive control using K_p = LDU factorization for multivariable discrete-time plants

作     者：Junling LI Xuejun XIE Wei CHEN 

作者机构：Institute of Automation Qufu Normal University Qufu Shandong 273165 China 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2008年第6卷第4期

页      面：392-398页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：Program for New Century Excellent Talents in Universities of China (No.NCET-05-0607) National Natural Science Foundation ofChina (No.60774010) 

主　　题：Discrete-time systems Swapping lemma L2σ-nonn Normalizing signal Model reference adaptive control 

摘      要：For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumptions. The algorithm is based on a new parametrization derived from the high frequency gain matrix factorization Kp=LDU under the condition that the signs of the leading principal minors of/fp are known. By reproving the discrete-time Lp and L2σ norm relationship between inputs and outputs, establishing the properties of discrete-time adaptive law, defining the normalizing signal, and relating the signal with all signals in the closed-loop system, the stability and convergence of the discrete-time multivariable model reference adaptive control scheme are analyzed rigorously in a systematic fashion as in the continuous-time case.