An adaptive control scheme for non-canonical discrete-time neural network systems

Yanjun Zhang, Gang Tao*, Mou Chen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a new study on adaptive control of non-canonical discrete-time neural network systems which do not have explicit relative degrees and cannot be directly dealt with by using feedback linearization control. The paper derives new results for the relative degrees of such systems using the implicit function theory to solve the issue of implicit dependence on system input in the process of feedback linearization. Such implicit input dependence is typically caused by time-advance operation for discrete-time systems, different from their continunous-time counterparts under time-differentiation operation leading to explicit input dependence. New relative degree formulations are employed to achieve desired system reparametrization for adaptive control. It develops an adaptive control scheme with analysis for relative degree one systems and an adaptive control design for relative degree two systems with simulation results to show desired system performance and discussion on some technical issues.

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3389-3394
Number of pages6
ISBN (Electronic)9781509018376
DOIs
Publication statusPublished - 27 Dec 2016
Externally publishedYes
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference55th IEEE Conference on Decision and Control, CDC 2016
Country/TerritoryUnited States
CityLas Vegas
Period12/12/1614/12/16

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