International Journal of Intelligent Systems and Applications (IJISA)
IJISA Vol. 6, No. 6, 8 May 2014
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An Iterative Technique for Solving a Class of Nonlinear Quadratic Optimal Control Problems Using Chebyshev Polynomials
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Author(s)
Hussein Jaddu
1,*
Amjad Majdalawi
1
Index Terms
Nonlinear quadratic optimal control problem, Banks Iterative Technique, Chebyshev polynomials, State parameterization
Abstract
In this paper, a method for solving a class of nonlinear optimal control problems is presented. The method is based on replacing the dynamic nonlinear optimal control problem by a sequence of quadratic programming problems. To this end, the iterative technique developed by Banks is used to replace the original nonlinear dynamic system by a sequence of linear time-varying dynamic systems, then each of the new problems is converted to quadratic programming problem by parameterizing the state variables by a finite length Chebyshev series with unknown parameters. To show the effectiveness of the proposed method, simulation results of a nonlinear optimal control problem are presented.
Cite This Paper
Hussein Jaddu, Amjad Majdalawi, "An Iterative Technique for Solving a Class of Nonlinear Quadratic Optimal Control Problems Using Chebyshev Polynomials", International Journal of Intelligent Systems and Applications(IJISA), vol.6, no.6, pp.53-57, 2014. DOI:10.5815/ijisa.2014.06.06
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