Xueli Wu
U-model-based adaptive control for a class of stochastic non-linear dynamic plants with unknown parameters
Wu, Xueli; Liu, Lei; Zhu, Quanmin; Du, Wenxia; Wang, Bin; Zhang, Jianhua
Authors
Abstract
In this paper, an adaptive control algorithm within a U-model framework is developed for controlling a class of stochastic non-linear discrete-time models with unknown parameters. With the authors' previous justification, the control-oriented model not only represents a wide range of smooth (polynomial) non-linear dynamic plants (without using linearisation approximation at all), but also makes almost all linear control system design techniques directly applicable to non-linear dynamic plants (with a root solver bridging the linear design and calculation of controller output). A new recursive least squares algorithm is derived and its convergence is proved for the online estimation of time-varying parameters. For initial bench test, a pole placement controller for non-linear stochastic polynomial models is designed using the corresponding linear design technique. Accordingly a step by step procedure is listed to implement the adaptive control operation. A number of simulated case studies are conducted to illustrate the efficiency of the claimed insight and design procedure. Copyright © 2011 Inderscience Enterprises Ltd.
Journal Article Type | Article |
---|---|
Publication Date | Jul 1, 2011 |
Deposit Date | Feb 4, 2013 |
Journal | International Journal of Modelling, Identification and Control |
Print ISSN | 1746-6172 |
Electronic ISSN | 1746-6180 |
Publisher | Inderscience |
Peer Reviewed | Peer Reviewed |
Volume | 13 |
Issue | 3 |
Pages | 135-143 |
DOI | https://doi.org/10.1504/IJMIC.2011.041300 |
Keywords | U-model, online estimation, nonlinear systems, stochastic dynamic systems, pole placement controller, time varying parameters, adaptive control, unknown parameters, discrete-time models, recursive least squares |
Public URL | https://uwe-repository.worktribe.com/output/960880 |
Publisher URL | http://dx.doi.org/10.1504/IJMIC.2011.041300 |
Contract Date | May 28, 2016 |
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