NDLI: A novel approach with parallel processing capability to solve optimal control problem of nonlinear large-scale systems

Content Provider	IEEE Xplore Digital Library
Author	Jajarmi, A. Pariz, N. Kamyad, A.V. Effati, S.
Copyright Year	2010
Description	Author affiliation: Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran (Kamyad, A.V.; Effati, S.) \|\| Department of Electrical Engineering, Ferdowsi University of Mashhad, Iran (Jajarmi, A.; Pariz, N.)
Abstract	In this paper, a novel Modal Series Representation (MSR) approach is proposed to solve the infinite horizon optimal control problem (OCP) of nonlinear interconnected large-scale systems. In this approach, the high order, coupled, nonlinear two-point boundary value problem (TPBVP) derived from the Pontryagin's maximum principle is transformed into a sequence of decoupled linear TPBVP's. By solving the proposed linear TPBVP sequence in a recursive manner, the optimal control law and the optimal trajectory are determined in terms of uniformly convergent series. Hence, to obtain the optimal solution, only the techniques of solving linear ordinary differential equations (ODE's) are employed. Another important factor is that the computational structure of the proposed technique can effectively utilize the parallel processing facilities, from which a significant reduction of computational time can be obtained. Besides, a control design algorithm with low computational complexity and fast convergence rate is presented. Through the finite iterations of the algorithm, a closed-form expression is obtained for the suboptimal control law. Finally, a numerical example is included to demonstrate the computational efficiency and high accuracy of the proposed technique.
Starting Page	641
Ending Page	646
File Size	137194
Page Count	6
File Format	PDF
ISBN	9781424467600
e-ISBN	9781424467600
DOI	10.1109/IRANIANCEE.2010.5506992
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-05-11
Publisher Place	Iran
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Pontryagin's maximum principle Boundary value problems Control design Computational complexity Nonlinear interconnected large-scale systems Concurrent computing Couplings Modal series Optimal control Optimal control problem Differential equations Parallel processing Large-scale systems Infinite horizon Component
Content Type	Text
Resource Type	Article

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