On the Non Linear Dynamics of the Global Best Particle in Particle Swarm Optimization

Author(s):  
Dipankar Maity ◽  
Udit Halder ◽  
Swagatam Das ◽  
Bijaya Ketan Panigrahi
2021 ◽  
Author(s):  
Irfan Bahiuddin ◽  
Parsaulian I Siregar ◽  
Saiful Amri Mazlan ◽  
Rizki S Nugroho ◽  
Fitrian Imaduddin ◽  
...  

Author(s):  
Raju Prajapati ◽  
Om Prakash Dubey ◽  
Randhir Kumar

The Non-Linear Programming Problems (NLPP) are computationally hard to solve as compared to the Linear Programming Problems (LPP). To solve NLPP, the available methods are Lagrangian Multipliers, Sub gradient method, Karush-Kuhn-Tucker conditions, Penalty and Barrier method etc. In this paper, we are applying Barrier method to convert the NLPP with equality constraint to an NLPP without constraint. We use the improved version of famous Particle Swarm Optimization (PSO) method to obtain the solution of NLPP without constraint. SCILAB programming language is used to evaluate the solution on sample problems. The results of sample problems are compared on Improved PSO and general PSO.


Author(s):  
Gomaa Zaki El-Far

This paper proposes a modified particle swarm optimization algorithm (MPSO) to design adaptive neuro-fuzzy controller parameters for controlling the behavior of non-linear dynamical systems. The modification of the proposed algorithm includes adding adaptive weights to the swarm optimization algorithm, which introduces a new update. The proposed MPSO algorithm uses a minimum velocity threshold to control the velocity of the particles, avoids clustering of the particles, and maintains the diversity of the population in the search space. The mechanism of MPSO has better potential to explore good solutions in new search spaces. The proposed MPSO algorithm is also used to tune and optimize the controller parameters like the scaling factors, the membership functions, and the rule base. To illustrate the adaptation process, the proposed neuro-fuzzy controller based on MPSO algorithm is applied successfully to control the behavior of both non-linear single machine power systems and non-linear inverted pendulum systems. Simulation results demonstrate that the adaptive neuro-fuzzy logic controller application based on MPSO can effectively and robustly enhance the damping of oscillations.


2014 ◽  
Vol 543-547 ◽  
pp. 1677-1680
Author(s):  
Jun Cen Yan ◽  
Ying Che

This text aims at non-linear optimizing problem of illumination uniformity, and puts forward the method to improve illumination uniformity based on Quasi-sine Particle Swarm Optimization. This paper expatiates the basic principle of arithmetic and its carrying steps firstly. The target function and the orientation degree function are given. The result of optimizing target function shows this arithmetic makes constringency holistically and obtained target illumination by the arithmetic is well-proportioned.


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