A Stability Analysis Method for Nonlinear Systems with Fuzzy Logic Controller

2006 ◽  
Author(s):  
Marius L. Tomescu ◽  
Gheorghe Petrov
Keyword(s):  
Fuzzy Logic ◽  
Stability Analysis ◽  
Nonlinear Systems ◽  
Fuzzy Logic Controller ◽  
Analysis Method

scholarly journals Design and Lyapunov Stability Analysis of a Fuzzy Logic Controller for Autonomous Road Following

2010 ◽  
Vol 2010 ◽  
pp. 1-20 ◽  
Author(s):  
Yi Fu ◽  
Howard Li ◽  
Mary Kaye
Keyword(s):  
Fuzzy Logic ◽  
Stability Analysis ◽  
Fuzzy Logic Controller ◽  
Fuzzy Controller ◽  
Intelligent Vehicles ◽  
Intelligent Vehicle ◽  
Rule Base ◽  
Control Laws ◽  
Robotic Vehicle ◽  
Road Following

Autonomous road following is one of the major goals in intelligent vehicle applications. The development of an autonomous road following embedded system for intelligent vehicles is the focus of this paper. A fuzzy logic controller (FLC) is designed for vision-based autonomous road following. The stability analysis of this control system is addressed. Lyapunov's direct method is utilized to formulate a class of control laws that guarantee the convergence of the steering error. Certain requirements for the control laws are presented for designers to choose a suitable rule base for the fuzzy controller in order to make the system stable. Stability of the proposed fuzzy controller is guaranteed theoretically and also demonstrated by simulation studies and experiments. Simulations using the model of the four degree of freedom nonholonomic robotic vehicle are conducted to investigate the performance of the fuzzy controller. The proposed fuzzy controller can achieve the desired steering angle and make the robotic vehicle follow the road successfully. Experiments show that the developed intelligent vehicle is able to follow a mocked road autonomously.

scholarly journals Lorenz System Stabilization Using Fuzzy Controllers

2007 ◽  
Vol 2 (3) ◽  
pp. 279 ◽  
Author(s):  
Radu-Emil Precup ◽  
Marius L. Tomescu ◽  
Stefan Preitl
Keyword(s):  
Stability Analysis ◽  
Chaotic Systems ◽  
Fuzzy Logic Controller ◽  
Lorenz System ◽  
Sufficient Conditions ◽  
Fuzzy Rule ◽  
Analysis Method ◽  
The Lorenz System ◽  
The Stability ◽  
Takagi Sugeno

The paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The stability analysis of the fuzzy control system is performed using Barbashin-Krasovskii theorem. This paper proves that if the derivative of Lyapunov function is negative semi-definite for each fuzzy rule then the controlled Lorentz system is asymptotically stable in the sense of Lyapunov. The stability theorem suggested here offers sufficient conditions for the stability of the Lorenz system controlled by TS FLCs. An illustrative example describes the application of the new stability analysis method.

Probabilistic fuzzy logic controller for uncertain nonlinear systems

2018 ◽  
Vol 355 (3) ◽  
pp. 1088-1106 ◽  
Author(s):  
Omar Shaheen ◽  
Ahmad M. El-Nagar ◽  
Mohammad El-Bardini ◽  
Nabila M. El-Rabaie
Keyword(s):  
Fuzzy Logic ◽  
Nonlinear Systems ◽  
Fuzzy Logic Controller ◽  
Uncertain Nonlinear Systems
Sign in / Sign up

Export Citation Format

Share Document