Pareto design of decoupled sliding-mode controllers for nonlinear systems based on a multiobjective genetic algorithm
type: Item
instance of: scholarly article
title: Pareto design of decoupled sliding-mode controllers for nonlinear systems based on a multiobjective genetic algorithm
zbMATH Open document ID: 1254.90214
DOI: 10.1155/2012/639014
author: Xianqiang Yang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We present a Pareto design of decoupled sliding-mode controllers based on a multiobjective genetic algorithm for several fourth-order coupled nonlinear systems. In order to achieve an optimum controller, at first, the decoupled sliding mode controller is applied to stablize the fourth-order coupled nonlinear systems at the equilibrium point. Then, the multiobjective genetic algorithm is applied to search the optimal coefficients of the decoupled sliding-mode control to improve the performance of the control system. Considered objective functions are the angle and distance errors. Finally, the simulation results implemented in the MATLAB software environment are presented for the inverted pendulum, ball and beam, and seesaw systems to assure the effectiveness of this technique.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6106273
zbMATH Keywords: multiobjective genetic algorithm
zbMATH Keywords: optimal coefficients
zbMATH Keywords: decoupled sliding-mode control
zbMATH Keywords: objective functions
zbMATH Keywords: MATLAB
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/639014
OpenAlex ID: W2110441420
Wikidata QID: Q58906304
cites work: Q4003793
cites work: Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems
cites work: Simulation of stability using Java application for Pareto design of controllers based on a new multi-objective particle swarm optimization
cites work: GA-based fuzzy sliding mode controller for nonlinear systems
cites work: Nonlinear systems
cites work: Robust control of a spatial robot using fuzzy sliding modes
cites work: Sliding mode control on electro-mechanical systems
cites work: Sliding mode control of a magnetic levitation system
cites work: Optimal sliding mode controllers for attitude stabilization of flexible spacecraft
cites work: Q4692508
cites work: Q4451071
description: scientific article; zbMATH DE number 6106273