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International Journal of Intelligent Systems and Applications(IJISA)

ISSN: 2074-904X (Print), ISSN: 2074-9058 (Online)

Published By: MECS Press

IJISA Vol.4, No.7, Jun. 2012

Optimal Control of Switched Systems based on Bezier Control Points

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Author(s)

FatemeGhomanjani, Mohammad HadiFarahi

Index Terms

Switched dynamical system;Bezier control points;Optimal control

Abstract

This paper presents a new approach for solving optimal control problems for switched systems. We focus on problems in which a pre-specified sequence of active subsystems is given. For such problems, we need to seek both the optimal switching instants and the optimal continuous inputs. A Bezier control points method is applied for solving an optimal control problem which is supervised by a switched dynamic system. Two steps of approximation exist here. First, the time interval is divided into k sub-intervals. Second, the trajectory and control functions are approximatedby Bezier curves in each subinterval. Bezier curves have been considered as piecewise polynomials of degree n, then they will be determined by n+1 control points on any subinterval. The optimal control problem is there by converted into a nonlinear programming problem (NLP), which can be solved by known algorithms. However in this paper the MATLAB optimization routine FMINCON is used for solving resulting NLP.

Cite This Paper

FatemeGhomanjani, Mohammad HadiFarahi,"Optimal Control of Switched Systems based on Bezier Control Points", International Journal of Intelligent Systems and Applications(IJISA), vol.4, no.7, pp.16-22, 2012. DOI: 10.5815/ijisa.2012.07.02

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