Title
Adaptive Digital Control of Hammerstein Nonlinear Systems with Limited Output Sampling
Abstract
This paper is motivated by the practical control considerations that nonlinearity is abundant in industrial processes and output sampling rates are often limited due to hardware constraints. In particular, for a Hammerstein nonlinear sampled-data system in which the output sampling period is an integer multiple of the input updating period, we derive, by using a polynomial transformation technique, a mathematical model which is suitable for parameter estimation with dual-rate measurement data. Further, we present an adaptive control scheme for such a dual-rate nonlinear system; the parameter estimation-based adaptive algorithm can achieve virtually asymptotically optimal control and ensure that the closed-loop system is stable and globally convergent. The simulation results are included.
Year
DOI
Venue
2007
10.1137/05062620X
SIAM J. Control and Optimization
Keywords
Field
DocType
dual-rate systems,adaptive control scheme,hardware constraint,adaptive control,dual-rate measurement data,adaptive digital control,convergence properties,self-tuning regulator,least squares methods,hammerstein systems,hammerstein nonlinear sampled-data system,sampled-data systems,practical control consideration,parameter estimation,dual-rate nonlinear system,multirate modeling,parameter estimation-based adaptive algorithm,limited output sampling,hammerstein nonlinear systems,closed-loop system,asymptotically optimal control,mathematical model,nonlinear system,sampled data systems,optimal control,least square method,digital control
Mathematical optimization,Nonlinear system,Polynomial transformation,Control theory,Nonlinear control,Sampling (statistics),Adaptive algorithm,Estimation theory,Adaptive control,Control system,Mathematics
Journal
Volume
Issue
ISSN
45
6
0363-0129
Citations 
PageRank 
References 
44
2.32
20
Authors
3
Name
Order
Citations
PageRank
Feng Ding14973231.42
Tongwen Chen24435304.47
Zenta Iwai3728.38