Multiple characteristic model-based golden-section adaptive control: Stability and optimization

2014 ◽  
Vol 29 (7) ◽  
pp. 877-904 ◽  
Author(s):  
Huang Huang
Keyword(s):  
Adaptive Control ◽  
Golden Section ◽  
Multiple Characteristic ◽  
Characteristic Model ◽  
Model Based ◽  
Control Stability

scholarly journals Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Duo-Qing Sun ◽  
Zhu-Mei Sun
Keyword(s):  
Asymptotic Stability ◽  
Linear Systems ◽  
Golden Section ◽  
Stability Result ◽  
Least Square ◽  
Control Law ◽  
Phase System ◽  
Characteristic Model ◽  
Model Based ◽  
The Stability

This paper is concerned with the problem of the asymptotic stability of the characteristic model-based golden-section control law for multi-input and multi-output linear systems. First, by choosing a set of polynomial matrices of the objective function of the generalized least-square control, we prove that the control law of the generalized least square can become the characteristic model-based golden-section control law. Then, based on both the stability result of the generalized least-square control system and the stability theory of matrix polynomial, the asymptotic stability of the closed loop system for the characteristic model under the control of the golden-section control law is proved for minimum phase system.

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