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

作　　者：Junling LI Xuejun XIE Wei CHEN 

机构地区：[1]Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China

出　　处：《控制理论与应用（英文版）》2008年第4期392-398,共7页

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

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.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.

关 键 词：Discrete-time systems Swapping lemma L2σ-nonn Normalizing signal Model reference adaptive control 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]