Control of complex nonlinear dynamic rational systems
type: Item
instance of: scholarly article
title: Control of complex nonlinear dynamic rational systems
zbMATH Open document ID: 1398.93142
DOI: 10.1155/2018/8953035
author: Quanmin Zhu
author: Li Liu
author: Weicun Zhang
author: Shaoyuan Li
published in: Complexity
publication date: 2018-09-28T00:00:00Z
review text: Summary: Nonlinear rational systems/models, also known as total nonlinear dynamic systems/models, in an expression of a ratio of two polynomials, have roots in describing general engineering plants and chemical reaction processes. The major challenge issue in the control of such a system is the control input embedded in its denominator polynomials. With extensive searching, it could not find any systematic approach in designing this class of control systems directly from its model structure. This study expands the U-model-based approach to establish a platform for the first layer of feedback control and the second layer of adaptive control of the nonlinear rational systems, which, in principle, separates control system design (without involving a plant model) and controller output determination (with solving inversion of the plant U-model). This procedure makes it possible to achieve closed-loop control of nonlinear systems with linear performance (transient response and steady-state accuracy). For the conditions using the approach, this study presents the associated stability and convergence analyses. Simulation studies are performed to show off the characteristics of the developed procedure in numerical tests and to give the general guidelines for applications.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93D99
zbMATH DE Number: 6945230
zbMATH Keywords: complex nonlinear dynamic rational systems
zbMATH Keywords: total nonlinear dynamic systems/models
zbMATH Keywords: expression of a ratio of two polynomials
zbMATH Keywords: U-model-based approach
zbMATH Keywords: first layer of feedback control
zbMATH Keywords: second layer of adaptive control
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8953035
OpenAlex ID: W2808111491
cites work: Review of rational (total) nonlinear dynamic system modelling, identification, and control
cites work: Nonlinear system identification. NARMAX methods in the time, frequency, and spatio-temporal domains
cites work: Recent Advances in Nonlinear Experimental Design
cites work: A stable one-step-ahead predictive control of nonlinear systems
cites work: Rational model identification using an extended least-squares algorithm
cites work: A structure detection algorithm for nonlinear dynamic rational models
cites work: Fast orthogonal identification of nonlinear stochastic models and radial basis function neural networks
cites work: An implicit least squares algorithm for nonlinear rational model parameter estimation
cites work: Identification of non-linear rational systems using a prediction-error estimation algorithm
cites work: A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems
cites work: A back propagation algorithm to estimate the parameters of nonlinear dynamic rational models.
cites work: An enhanced linear Kalman filter (EnLKF) algorithm for parameter estimation of nonlinear rational models
cites work: Nonlinear model validation using correlation tests
cites work: Development of omni-directional correlation functions for nonlinear model validation
cites work: Incremental gain analysis of piecewise linear systems and application to the antiwindup problem
cites work: Q4003793
cites work: Data-driven approximate value iteration with optimality error bound analysis
cites work: Model-free control
cites work: A general U-block model-based design procedure for nonlinear polynomial control systems
cites work: Problems of identification and control
cites work: Performance bounds of forgetting factor least-squares algorithms for time-varying systems with finite measurement data
cites work: On covariance function tests used in system identification
cites work: On the stability and convergence of self-tuning control–virtual equivalent system approach
cites work: Time-varying linear regression via flexible least squares
cites work: Improving transient performance of adaptive control via a modified reference model and novel adaptation
cites work: Robust adaptive finite‐time parameter estimation and control for robotic systems
Wikidata QID: Q129701219
description: scientific article; zbMATH DE number 6945230