Title
Adaptive output feedback control of general MIMO systems using multirate sampling and its application to a cart–crane system
Abstract
In adaptive output feedback control based on almost strictly positive real conditions, a technical difficulty arises when the multi-input multi-output (MIMO) system under consideration is non-square, and in particular, has less inputs than outputs. To overcome this, we propose the idea of multirate sampled-data control—by carefully choosing faster input sampling rates, we obtain a lifted discrete-time system, which has the same number of inputs and outputs and does not give rise to the causality constraint. The adaptive control strategy is then applied to the lifted system, resulting in a multirate adaptive output feedback controller which is implementable digitally and provides closed-loop stability under certain conditions. The results reported here are validated on an experimental cart–crane system.
Year
DOI
Venue
2007
10.1016/j.automatica.2007.04.017
Automatica
Keywords
DocType
Volume
Adaptive control,Multirate systems,Strictly positive realness,Closed-loop stability,MIMO systems
Journal
43
Issue
ISSN
Citations 
12
0005-1098
5
PageRank 
References 
Authors
0.66
0
5
Name
Order
Citations
PageRank
Ikuro Mizumoto15116.55
Tongwen Chen24435304.47
ohdaira satoshi3111.28
Makoto Kumon44512.84
Zenta Iwai5728.38