Design of LQR controller with big bang-big crunch optimization algorithm based on time domain criteria

Moayed Almobaied, Ibrahim Eksin, Mujde Guzelkaya

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

15 Citations (Scopus)

Abstract

LQR controller is the most popular technique that provides an optimal control law for linear systems among the state space feedback control strategies. However, the conventional LQR controller synthesis is unfortunately an iterative process due to the trial and error approach involved in determining the parameters values of the weighing matrices Q and R. Here, the Big Bang-Big Crunch (BB-BC) optimization algorithm is used that optimizes a time domain fitness function in the design of the state feedback optimal control law and thus avoiding the repeated adjustment process of LQR parameters. In this study, a special performance fitness function that is inversely proportional to the certain time domain step response criteria of a dynamical system is proposed for the optimization procedure. In order to test the performance of the proposed method, firstly a simulation study is done within the MATLAB to stabilize an inverted pendulum on cart. Then, the proposed controller is used in a real time implementation to stabilize a DC-DC boost converter benchmark in the lab. Both MATLAB simulations and laboratory experiments demonstrate the effectiveness of the proposed controller.

Original languageEnglish
Title of host publication24th Mediterranean Conference on Control and Automation, MED 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1192-1197
Number of pages6
ISBN (Electronic)9781467383455
DOIs
Publication statusPublished - 5 Aug 2016
Event24th Mediterranean Conference on Control and Automation, MED 2016 - Athens, Greece
Duration: 21 Jun 201624 Jun 2016

Publication series

Name24th Mediterranean Conference on Control and Automation, MED 2016

Conference

Conference24th Mediterranean Conference on Control and Automation, MED 2016
Country/TerritoryGreece
CityAthens
Period21/06/1624/06/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

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