A neural multicontroller for strongly nonlinear systems

2022 ◽  
pp. 1-18
Author(s):  
Yassin Farhat ◽  
Ali Zribi ◽  
Asma Atig ◽  
Ridha Ben Abdennour
Keyword(s):  
Nonlinear Systems ◽  
Strongly Nonlinear

scholarly journals Application of the Robust Fixed Point Iteration Method in Control of the Level of Twin Tanks Liquid

Computation ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 96
Author(s):  
Hamza Khan ◽  
Hazem Issa ◽  
József K. Tar
Keyword(s):  
Numerical Simulation ◽  
Fixed Point ◽  
Nonlinear Systems ◽  
Flow Rate ◽  
Fluid Level ◽  
Process Industries ◽  
Fixed Point Iteration ◽  
Precise Control ◽  
Strongly Nonlinear ◽  
Simulation Results

Precise control of the flow rate of fluids stored in multiple tank systems is an important task in process industries. On this reason coupled tanks are considered popular paradigms in studies because they form strongly nonlinear systems that challenges the controller designers to develop various approaches. In this paper the application of a novel, Fixed Point Iteration (FPI)-based technique is reported to control the fluid level in a “lower tank” that is fed by the egress of an “upper” one. The control signal is the ingress rate at the upper tank. Numerical simulation results obtained by the use of simple sequential Julia code with Euler integration are presented to illustrate the efficiency of this approach.

Fuzzy Cell Mapping Applied to Autonomous Systems

2001 ◽  
Author(s):  
Y. Song ◽  
D. Edwards ◽  
V. S. Manoranjan
Keyword(s):  
Nonlinear Systems ◽  
Analytical Methods ◽  
Autonomous Systems ◽  
Global Behavior ◽  
Cell Mapping ◽  
Strongly Nonlinear ◽  
Scientific Disciplines ◽  
Fuzzy Cell ◽  
Engineering Physics ◽  
Viable Method

Abstract Nonlinear systems appear in many scientific disciplines such as engineering, physics, chemistry, biology, economics, and demography. Therefore methods of analysis of nonlinear systems, which can provide a good understanding of their behavior have wide applications. Although there are several analytical methods (See Hsu [3] and references therein), determining the global behavior of strongly nonlinear systems is still a substantially difficult task. The direct approach of numerical integration is a viable method. However, such an approach is sometimes prohibitively time consuming even with the powerful present-day computers.

A Theory of Index for Point Mapping Dynamical Systems

1980 ◽  
Vol 47 (1) ◽  
pp. 185-190 ◽  
Author(s):  
C. S. Hsu
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Periodic Solutions ◽  
Discrete Time ◽  
Difference Equations ◽  
Vector Fields ◽  
Time Difference ◽  
Point Mapping ◽  
Strongly Nonlinear

Dynamical systems governed by discrete time-difference equations are referred to as point mapping dynamical systems in this paper. Based upon the Poincare´ theory of index for vector fields, a theory of index is established for point mapping dynamical systems. Besides its intrinsic theoretic value, the theory can be used to help search and locate periodic solutions of strongly nonlinear systems.

Model Selection for Strongly Nonlinear Systems

2013 ◽  
Author(s):  
Philippe Bisaillon ◽  
Rimple Sandhu ◽  
Mohammad Khalil ◽  
Abhijit Sarkar ◽  
Dominique C. Poirel
Keyword(s):  
Nonlinear Systems ◽  
Model Selection ◽  
Strongly Nonlinear ◽  
Selection For
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