Restarted State Parameterization Method for Optimal Control Problems
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Authors
B. Kafash
- Imam Javad University College, Yazd, Iran
A. Delavarkhalafi
- Department of Mathematics, Yazd University, Yazd, Iran
Abstract
In this paper we introduce an efficient algorithm based on state parameterization method to solve optimal control problems and Van Der Pol oscillator. In fact, state variable can be considered as linear combination of polynomials with unknown coefficients. Using this method, an optimal control problem breaks down into an optimization and will be solved via mathematical programming techniques. By this algorithm, the control and state variables can be approximated as a function of time. Finally, some numerical examples are presented to show the validity and efficiency of the proposed method.
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ISRP Style
B. Kafash, A. Delavarkhalafi, Restarted State Parameterization Method for Optimal Control Problems, Journal of Mathematics and Computer Science, 14 (2015), no. 2, 151-161
AMA Style
Kafash B., Delavarkhalafi A., Restarted State Parameterization Method for Optimal Control Problems. J Math Comput SCI-JM. (2015); 14(2):151-161
Chicago/Turabian Style
Kafash, B., Delavarkhalafi, A.. "Restarted State Parameterization Method for Optimal Control Problems." Journal of Mathematics and Computer Science, 14, no. 2 (2015): 151-161
Keywords
- Optimal control problems
- State parameterization method
- Mathematical programming techniques
- Van Der Pol oscillator.
MSC
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