Runge–Kutta Based Procedure for the Optimal Control of Differential-Algebraic Equations

R. Pytlak
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R. Pytlak: Imperial College

Journal of Optimization Theory and Applications, 1998, vol. 97, issue 3, No 8, 675-705

Abstract: Abstract A new approach for optimization of control problems defined by fully implicit differential-algebraic equations is described in the paper. The main feature of the approach is that system equations are substituted by discrete-time implicit equations resulting from the integration of the system equations by an implicit Runge–Kutta method. The optimization variables are parameters of piecewise constant approximations to control functions; thus, the control problem is reduced to the control space only. The method copes efficiently with problems defined by large-scale differential-algebraic equations.

Keywords: Implicit systems; optimal control problems; discrete-time systems; implicit Runge–Kutta method (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022698311155

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