scholarly journals A Servomechanism Design for Nonlinear Systems with Arbitrary Relative Degree By Using Nonlinear Plug-in Adaptive Controller

2003 ◽  
Vol 123 (8) ◽  
pp. 1456-1464
Author(s):  
Hiroyuki Miyamoto ◽  
Hiromitsu Ohmori
Keyword(s):  
Nonlinear Systems ◽  
Adaptive Controller ◽  
Relative Degree

A Design Method of LS-SVM Based Stable Adaptive Controller for a Class of Nonlinear Systems

2011 ◽  
Vol 48-49 ◽  
pp. 17-20
Author(s):  
Chun Li Xie ◽  
Tao Zhang ◽  
Dan Dan Zhao ◽  
Cheng Shao
Keyword(s):  
Nonlinear Systems ◽  
Design Method ◽  
Nonlinear Function ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Control Law ◽  
Continuous Systems ◽  
Control Schemes ◽  
Closed Systems ◽  
Simulation Results

A design method of LS-SVM based stable adaptive controller is proposed for a class of nonlinear continuous systems with unknown nonlinear function in this paper. Due to the fact that the control law is derived based on the Lyapunov stability theory, the scheme can not only solve the tracking problem of this class of nonlinear systems, but also it can guarantee the asymptotic stability of the closed systems, which is superior to many LS-SVM based control schemes. The effectiveness of the proposed scheme is demonstrated by simulation results.

Funnel control for nonlinear systems with higher relative degree

PAMM ◽  
2018 ◽  
Vol 18 (1) ◽  
Author(s):  
Thomas Berger ◽  
Huy Hoàng Lê ◽  
Timo Reis
Keyword(s):  
Nonlinear Systems ◽  
Relative Degree ◽  
Funnel Control

scholarly journals Characteristic Model-Based Adaptive Control for a Class of MIMO Uncertain Nonaffine Nonlinear Systems Governed by Differential Equations

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Duo-Qing Sun ◽  
Xiao-Ying Ma
Keyword(s):  
Nonlinear Systems ◽  
Differential Equations ◽  
Linear Time ◽  
Uncertain System ◽  
Adaptive Controller ◽  
Characteristic Model ◽  
First Order ◽  
Position Tracking Control ◽  
The Stability ◽  
Nonaffine Nonlinear Systems

This paper addresses the difficulty of designing a controller for a class of multi-input multi-output uncertain nonaffine nonlinear systems governed by differential equations. We first derive the first-order characteristic model composed of a linear time-varying uncertain system for such nonaffine systems and then design an adaptive controller based on this first-order characteristic model for position tracking control. The designed controller exhibits a simple structure that can effectively avoid the controller singularity problem. The stability of the closed-loop system is analyzed using the Lyapunov method. The effectiveness of our proposed method is validated with a numerical example.

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