Multiple model self-tuning control for a class of nonlinear systems

• Published in: International journal of control Vol. 88; no. 10; pp. 1984 - 1994
• Main Authors: Huang, Miao, Wang, Xin, Wang, Zhenlei
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.10.2015; Taylor & Francis Ltd
• Subjects: Asymptotic properties; Computer simulation; Control systems; Convergence; Dynamical systems; increment model; Mathematical models; multiple model self-tuning control; Nonlinear dynamics; Nonlinear systems; Nonlinearity; pole-placement scheme
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2015.1027271

This study develops a novel nonlinear multiple model self-tuning control method for a class of nonlinear discrete-time systems. An increment system model and a modified robust adaptive law are proposed to expand the application range, thus eliminating the assumption that either the nonlinear term of the nonlinear system or its differential term is global-bounded. The nonlinear self-tuning control method can address the situation wherein the nonlinear system is not subject to a globally uniformly asymptotically stable zero dynamics by incorporating the pole-placement scheme. A novel, nonlinear control structure based on this scheme is presented to improve control precision. Stability and convergence can be confirmed when the proposed multiple model self-tuning control method is applied. Furthermore, simulation results demonstrate the effectiveness of the proposed method.