Title : 
Gradient-based and least-squares-based iterative algorithms for hammerstein systems using the hierarchical identification principle
         
        
            Author : 
Feng Ding ; Xinggao Liu ; Jian Chu
         
        
            Author_Institution : 
Key Lab. of Adv. Process Control for Light Ind. (Minist. of Educ.), Jiangnan Univ., Wuxi, China
         
        
        
        
        
        
        
        
            Abstract : 
This study derives a least-squares-based iterative algorithm and a gradient-based iterative algorithm for Hammerstein systems using the decomposition-based hierarchical identification principle. The simulation results confirm that the proposed two algorithms can give satisfactory identification accuracies and the least-squares-based iterative algorithm has faster convergence rates than the gradient-based iterative algorithm.
         
        
            Keywords : 
convergence of numerical methods; decomposition; gradient methods; iterative methods; least squares approximations; Hammerstein systems; convergence rate; decomposition-based hierarchical identification principle; gradient-based iterative algorithms; least-squares-based iterative algorithms;
         
        
        
            Journal_Title : 
Control Theory & Applications, IET
         
        
        
        
        
            DOI : 
10.1049/iet-cta.2012.0313