An SOS-Based Control Lyapunov Function Design for Polynomial Fuzzy Control of Nonlinear Systems

2017 ◽  
Vol 25 (4) ◽  
pp. 775-787 ◽  
Author(s):  
Radian Furqon ◽  
Ying-Jen Chen ◽  
Motoyasu Tanaka ◽  
Kazuo Tanaka ◽  
Hua O. Wang
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Fuzzy Control ◽  
Control Lyapunov Function ◽  
Function Design

scholarly journals Predefined-Time Antisynchronization of Two Different Chaotic Neural Networks

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Lixiong Lin
Keyword(s):  
Neural Networks ◽  
Lyapunov Function ◽  
Time Stability ◽  
Stabilization Time ◽  
Control Lyapunov Function ◽  
Practical Advantage ◽  
Chaotic Neural Networks ◽  
Time Period ◽  
Function Design ◽  
Definition Of

This paper is concerned with antisynchronization in predefined time for two different chaotic neural networks. Firstly, a predefined-time stability theorem based on Lyapunov function is proposed. With the help of the definition of predefined time, it is convenient to establish a direct relationship between the tuning gain of the system and the fixed stabilization time. Then, the antisynchronization is achieved between two different chaotic neural networks via active control Lyapunov function design. The designed controller presents the practical advantage that the least upper bound for the settling time can be explicitly defined during the control design. With the help of the designed controller, the antisynchronization errors converge within a predefined-time period. Numerical simulations are presented in order to show the reliability of the proposed method.

scholarly journals Transformation of CLF to ISS-CLF for Nonlinear Systems with Disturbance and Construction of Nonlinear Robust Controller withL2Gain Performance

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Keizo Okano ◽  
Kojiro Hagino ◽  
Hidetoshi Oya
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Feedback Linearization ◽  
Feedback System ◽  
Stability Control ◽  
Control Law ◽  
Robust Controller ◽  
Control Lyapunov Function ◽  
Nonlinear Control Law ◽  
Nonlinear Robust

A new nonlinear control law for a class of nonlinear systems with disturbance is proposed. A control law is designed by transforming control Lyapunov function (CLF) to input-to-state stability control Lyapunov function (ISS-CLF). The transformed CLF satisfies a Hamilton-Jacobi-Isaacs (HJI) equation. The feedback system by the proposed control law has characteristics ofL2gain. Finally, it is shown by a numerical example that the proposed control law makes a controller by feedback linearization robust against disturbance.

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