Work place: Dept. of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
E-mail: fatemeghomanjani@gmail.com
Website:
Research Interests: Computer systems and computational processes, Process Control System, Combinatorial Optimization, Control Theory
Biography
Fateme Ghomanjani is a PHD student in control theory at the Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran. She received her B.S and M.Sc respectively in Applied Mathematics and Operation Research from Ferdowsi University of Mashhad in 2006, 2008. Her scientific interests include optimal control, optimization, delay differential equations, and switched systems.
By FatemeGhomanjani Mohammad HadiFarahi
DOI: https://doi.org/10.5815/ijisa.2012.07.02, Pub. Date: 8 Jun. 2012
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.
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