DocumentCode :
48087
Title :
Adaptive predictive control of periodic non-linear auto-regressive moving average systems using nearest-neighbour compensation
Author :
Chenguang Yang ; Hongbin Ma ; Mengyin Fu
Author_Institution :
Sch. of Comput. & Math., Plymouth Univ., Plymouth, UK
Volume :
7
Issue :
7
fYear :
2013
fDate :
May 2 2013
Firstpage :
936
Lastpage :
951
Abstract :
Many practical non-linear systems can be described by non-linear auto-regressive moving average (NARMA) system models, whose stabilisation problem is challenging in the presence of large parametric uncertainties and non-parametric uncertainties. In this work, to address this challenging problem for a wide class of discrete-time NARMA systems, in which there are uncertain periodic parameters as well as uncertain non-linear part with unknown periodic time delays, we develop adaptive predictive control laws using the key ideas of `future outputs prediction´ and `nearest-neighbour compensation´, among which the former is carried out to overcome the non-causalness problem and the latter novel idea is proposed to completely compensate for the effect of non-linear uncertainties as well as unknown time delays. To achieve the desired asymptotic tracking performance in the presence of semi-parametric uncertainties with time delays, an `n-step parameter update law´ is first designed, based on which an `one-step update law´ is then elaborately constructed to obtain smoother closed-loop signals. This study in general develops a systematic adaptive control framework for periodic NARMA systems with guaranteed boundedness stability and asymptotic tracking performance, which are established by rigorous theoretic proof and verified by simulation studies.
Keywords :
adaptive control; asymptotic stability; autoregressive moving average processes; closed loop systems; compensation; control system synthesis; delays; discrete time systems; nonlinear control systems; periodic control; predictive control; time-varying systems; uncertain systems; adaptive predictive control law; asymptotic tracking performance; closed-loop signal; discrete-time NARMA systems; future output prediction; guaranteed boundedness stability; n-step parameter update law; nearest neighbour compensation; noncausalness problem; nonlinear uncertain effect compensation; nonparametric uncertainties; one-step update law; parametric uncertainties; periodic nonlinear autoregressive moving average systems; semiparametric uncertainties; uncertain nonlinear parameters; uncertain periodic parameters; unknown periodic time delays;
fLanguage :
English
Journal_Title :
Control Theory & Applications, IET
Publisher :
iet
ISSN :
1751-8644
Type :
jour
DOI :
10.1049/iet-cta.2012.0809
Filename :
6562927
Link To Document :
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