General solution to diagonal model matching control of multiple-output-delay systems and its applications in adaptive scheme  

作　　者：Yingmin Jia The Seventh Research Division,Beihang University,Beijing 100083,China 

出　　处：《Progress in Natural Science:Materials International》2009年第1期79-90,共12页自然科学进展·国际材料（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.60727002,60774003 and 69625506);the Commission of Science Technology and Industry for National Defense of China (Grant No.A2120061303);the National Key Basic Research Program (973 Program) (Grant No.2005CB321902)

摘　　要：This paper mainly studies the model matching problem of multiple-output-delay systems in which the reference model is assigned to a diagonal transfer function matrix.A new model matching controller structure is first developed,and then,it is shown that the controller is feasible if and only if the sets of Diophantine equations have common solutions.The obtained controller allows a parametric representation,which shows that an adaptive scheme can be used to tolerate parameter variations in the plants.The resulting adaptive law can guarantee the global stability of the closed-loop systems and the convergence of the output error.This paper mainly studies the model matching problem of multiple-output-delay systems in which the reference model is assigned to a diagonal transfer function matrix. A new model matching controller structure is first developed, and then, it is shown that the controller is feasible if and only if the sets of Diophantine equations have common solutions. The obtained controller allows a parametric representation, which shows that an adaptive scheme can be used to tolerate parameter variations in the plants. The resulting adaptive law can guarantee the global stability of the closed-loop systems and the convergence of the output error.

关 键 词：Model matching control DECOUPLING ADAPTATION Time delays Multivariable systems Diophantine equations 

分 类 号：O241.82[理学—计算数学]