Quantitative Stability Evaluation Based on Region of Attraction for Control Method Choice for Nonlinear Systems and Its UAV Application

2017 ◽  
Vol 65 (6) ◽  
pp. 251-257
Author(s):  
Susumu HARA ◽  
Hisashi NAGAMATSU ◽  
Jumpei NAKAMURA ◽  
Takamasa HORIBE ◽  
Daisuke TSUBAKINO
Keyword(s):  
Nonlinear Systems ◽  
Control Method ◽  
Stability Evaluation ◽  
Region Of Attraction ◽  
Quantitative Stability ◽  
Method Choice

scholarly journals The Adaptive Neural Control for a Class of High-Order Uncertain Stochastic Nonlinear Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Xiaoyan Qin
Keyword(s):  
Nonlinear Systems ◽  
Neural Control ◽  
Closed Loop ◽  
Control Method ◽  
High Order ◽  
Stochastic Nonlinear Systems ◽  
Closed Loop System ◽  
Adaptive Neural Control ◽  
Control Scheme ◽  
Approximation Capability

This paper studies the problem of the adaptive neural control for a class of high-order uncertain stochastic nonlinear systems. By using some techniques such as the backstepping recursive technique, Young’s inequality, and approximation capability, a novel adaptive neural control scheme is constructed. The proposed control method can guarantee that the signals of the closed-loop system are bounded in probability, and only one parameter needs to be updated online. One example is given to show the effectiveness of the proposed control method.

Disturbance Adaptive Discrete-Time Sliding Control With Application to Engine Speed Control

1998 ◽  
Vol 123 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Mooncheol Won ◽  
J. K. Hedrick
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Control Method ◽  
Sliding Mode ◽  
Input Saturation ◽  
Adaptive Sliding Mode Control ◽  
Control Law ◽  
Sliding Surface ◽  
Sliding Control ◽  
Error Dynamics

This paper presents a discrete-time adaptive sliding control method for SISO nonlinear systems with a bounded disturbance or unmodeled dynamics. Control and adaptation laws considering input saturation are obtained from approximately discretized nonlinear systems. The developed disturbance adaptation or estimation law is in a discrete-time form, and differs from that of conventional adaptive sliding mode control. The closed-loop poles of the feedback linearized sliding surface and the adaptation error dynamics can easily be placed. It can be shown that the adaptation error dynamics can be decoupled from sliding surface dynamics using the proposed scheme. The proposed control law is applied to speed tracking control of an automatic engine subject to unknown external loads. Simulation and experimental results verify the advantages of the proposed control law.

Neural Network Direct Adaptive Control Strategy for a Class of Switched Nonlinear Systems

2016 ◽  
Vol 138 (8) ◽  
Author(s):  
Lei Yu ◽  
Xiefu Jiang ◽  
Shumin Fei ◽  
Jun Huang ◽  
Gang Yang ◽  
...  
Keyword(s):  
Neural Network ◽  
Nonlinear Systems ◽  
Control Method ◽  
Average Dwell Time ◽  
Switching Control ◽  
Network Control ◽  
Switched Nonlinear Systems ◽  
Output Tracking ◽  
Direct Adaptive Control ◽  
Adaptive Control Strategy

This paper deals with the adaptive neural network (NN) switching control problem for a class of switched nonlinear systems. Radial basis function (RBF) NNs are utilized to approximate the unknown switching control law term which includes a neural network control term, a supervisory control term, and a compensation control term. Also, based on the average dwell-time, a direct adaptive neural switching controller is designed to heighten the robustness of switching system. We can prove to ensure stability of the resulting closed-loop system such that the output tracking performance can be well obtained and all the signals are kept bounded. Simulation results validate the tracking control performance and investigate the effectiveness of the proposed switching control method.

Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems

2015 ◽  
Vol 82 (1-2) ◽  
pp. 39-52 ◽  
Author(s):  
Chun Yin ◽  
Yuhua Cheng ◽  
YangQuan Chen ◽  
Brandon Stark ◽  
Shouming Zhong
Keyword(s):  
Nonlinear Systems ◽  
Fractional Order ◽  
Control Method ◽  
Switching Type

ON IMPULSIVE CONTROL AND ITS APPLICATION TO CHEN'S CHAOTIC SYSTEM

2002 ◽  
Vol 12 (05) ◽  
pp. 1191-1197 ◽  
Author(s):  
ZHI-HONG GUAN ◽  
RUI-QUAN LIAO ◽  
FENG ZHOU ◽  
HUA O. WANG
Keyword(s):  
Nonlinear Systems ◽  
Exponential Stability ◽  
Chaotic System ◽  
Control Method ◽  
Impulsive Control ◽  
Asymptotical Stability ◽  
Impulsive Systems ◽  
Chaotic State ◽  
Chaos Suppression ◽  
Zero Equilibrium

In this paper, impulsive control of nonlinear systems and its application to Chen's chaotic system are considered. A new impulsive control method for chaos suppression, using Chen's system as an example, is developed. Some new general criteria for exponential stability and asymptotical stability of nonlinear impulsive systems are established and, particularly, some simple conditions sufficient for driving the chaotic state of Chen's system to its zero equilibrium are presented.

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