APPLICATION OF FOURIER SERIES DIRECT METHOD TO THE OPTIMAL CONTROL OF SINGULAR SYSTEMS

 R. Ebrahimi¹, M. Samavat¹, M.A. Vali², A.A. Gharavisi¹

1. Department of Electrical Engineering, Shahid Bahonar University

2 .Department of mathematics, Shahid Bahonar University, Kerman, IRAN

Abstract

By the use of elegant operational properties of Fourier series, a direct computational algorithm for evaluation the optimal control and trajectory of linear singular systems with a quadratic cost functional is developed in this paper. The state variable, state- rate, and the control vector are expanded in Fourier orthogonal basis with unknown coefficients. The technique is straightforward and very convenient for computer programming. An illustrative example is given to demonstrate the applicability of the proposed method.

 Keywords: Optimal control; singular systems; Fourier series; operational matrix

(P1110724003, 542 KB) 

Biographies:

	Ramazan Ebrahimi, He is a M.Sc student in control engineering in electrical Dept in Bahonar University of Kerman.
	Mahmoud Samavat, He got his B.Sc and M.Sc all in electrical engineering in 1982 and 1985 respectively from North Dakota state university in USA. Also he got his Ph.D in control engineering from Dep of Automatic control and system engineering from university of Sheffield, England in Dec 2000. Since 1985 he is a faculty member of electrical Dept in Bahonar university of Kerman. his research area is stabilization, identification, model reduction and optimal control.
	Mohammed Ali Vali, He got his B.Sc in pure mathematics in 1985 from Esfahan University in IRAN. he got his M.Sc in pure mathematics (Analysis) in Bahonar university of Kerman in 1987. Also he got his Ph.D in pure mathematics (optimal control) in 1999 from Bahonar university of Kerman in IRAN. Since 1987 he has been a faculty member of Math Dep. Of Bahonar university of Kerman. His research area is analysis, Linear algebra and optimal control.

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