Direct model reference adaptive control using Kp =LDU factorization for multivariable discrete-time plants
Junling LI
Xuejun XIE
Wei CHEN
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 dedved from the high frequency gain matrix factorization Kp=LDU under the condition that the signs of the leading principal minors of Kp are known.By reproving the discrete-time Lp and L2δ 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.
机标关键词：adaptive control schemestability and convergencematrix factorizationhigh frequency gainadaptive law
资助基金：Program for New Century Excellent Talents in Universities of China(NCET-05-0607)National Natural Science Foundation of China(60774010)
论文发表日期：2008-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：7( 392-398 )
英文信息