Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system

This paper investigates the performance of adaptive particle swarm optimization (APSO) algorithm to find the best optimal gain parameters (Kp, Ki, Kd) in linear PID (L-PID) and nonlinear PID (NL-PID) controllers for the trajectory control of a nonlinear dynamical system (NLDS). Mathematical modeling...

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Main Authors: Sudarshan K. Valluru, Madhusudan Singh
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Electrical Systems and Information Technology
Online Access:http://www.sciencedirect.com/science/article/pii/S2314717218300187
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author Sudarshan K. Valluru
Madhusudan Singh
author_facet Sudarshan K. Valluru
Madhusudan Singh
author_sort Sudarshan K. Valluru
collection DOAJ
description This paper investigates the performance of adaptive particle swarm optimization (APSO) algorithm to find the best optimal gain parameters (Kp, Ki, Kd) in linear PID (L-PID) and nonlinear PID (NL-PID) controllers for the trajectory control of a nonlinear dynamical system (NLDS). Mathematical modeling, stability and performance analysis of a NLDS are being carried out with L-PID and NL-PID controllers. It is found that the APSO based tuning of NL-PID controller provides better tracking of NLDS than L-PID controller in respect of its search domain, premature convergence, and computational efficiency. Simulation analysis of various variables of controllers and system response such as error, cost function, and response of NLDS and their comparison to that of APSO tuned L-PID controller is described. Keywords: Linear PID, Non-linear PID, PID tuning, Swarm intelligence, Nonlinear dynamical system
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spelling doaj.art-aa28c858728b439baeeb942db2b4b9472022-12-22T01:32:00ZengSpringerOpenJournal of Electrical Systems and Information Technology2314-71722018-12-0153442452Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical systemSudarshan K. Valluru0Madhusudan Singh1Corresponding author.; Department of Electrical Engineering, Delhi Technological University, Bawana Road, Delhi 110042, IndiaDepartment of Electrical Engineering, Delhi Technological University, Bawana Road, Delhi 110042, IndiaThis paper investigates the performance of adaptive particle swarm optimization (APSO) algorithm to find the best optimal gain parameters (Kp, Ki, Kd) in linear PID (L-PID) and nonlinear PID (NL-PID) controllers for the trajectory control of a nonlinear dynamical system (NLDS). Mathematical modeling, stability and performance analysis of a NLDS are being carried out with L-PID and NL-PID controllers. It is found that the APSO based tuning of NL-PID controller provides better tracking of NLDS than L-PID controller in respect of its search domain, premature convergence, and computational efficiency. Simulation analysis of various variables of controllers and system response such as error, cost function, and response of NLDS and their comparison to that of APSO tuned L-PID controller is described. Keywords: Linear PID, Non-linear PID, PID tuning, Swarm intelligence, Nonlinear dynamical systemhttp://www.sciencedirect.com/science/article/pii/S2314717218300187
spellingShingle Sudarshan K. Valluru
Madhusudan Singh
Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system
Journal of Electrical Systems and Information Technology
title Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system
title_full Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system
title_fullStr Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system
title_full_unstemmed Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system
title_short Performance investigations of APSO tuned linear and nonlinear PID controllers for a nonlinear dynamical system
title_sort performance investigations of apso tuned linear and nonlinear pid controllers for a nonlinear dynamical system
url http://www.sciencedirect.com/science/article/pii/S2314717218300187
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