Mohammad HadiFarahi

Work place: Dept. of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

E-mail: farahi@um.ac.ir

Website:

Research Interests: Combinatorial Optimization, Control Theory

Biography

Mohammad Hadi Farahi is a Full Professor at the Department of Applied Mathematics, School of Mathematics, Ferdowsi University of Mashhad, Iran. He obtained his B.S, M.Sc and PHD, respectively in Ferdowsi University of Mashhad, Iran in 1972, Branel University, UK in 1978, and Leeds University, Uk in 1996. He has published more than 50 technical paper in international journals, and also four textbooks. His scientific interests include optimal control, optimization, sliding mode control, bio-mathematics, ODE’s, PDE’s, and approximation techniques.

Author Articles
Optimal Control of Switched Systems based on Bezier Control Points

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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