Stability analysis of golden-section adaptive control systems based on the characteristic model

作     者：Duoqing SUN 

作者机构：Institute of Mathematics and Systems Science Hebei Normal University of Science and Technology Beijing Institute of Control Engineering China Academy of Space Technology 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2017年第60卷第9期

页      面：253-270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：supported by National Nature Science Foundation of China (Grant No. 61333008) Funds for Creative Research Groups of Hebei Normal University of Science and Technology (Grant No. CXTD2012-08) 

主　　题：characteristic model golden-section control law stability time-varying system nonlinear system 

摘      要：All-coefficient adaptive control theory and method based on characteristic models have already been applied successfully in the fields of astronautics and industry. However, the stability analysis of the characteristic model-based golden-section adaptive control systems is still an open question in both theory and practice. To investigate such stability issues, the author first provides a method for choosing initial parameter values and new performances for a projection algorithm with dead zone for adaptive parameter estimation, and develops some properties of time-varying matrices by utilizing some algebraic techniques. And then a new Lyapunov function with logarithmic form for time-varying discrete systems is constructed. Finally, the author transforms the characteristic models of some multi-input and multi-output(MIMO) controlled systems into their equivalent form, and proves the stability of the closed-loop systems formed by the golden-section adaptive control law based on the characteristic model using mathematical techniques.