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Solving Optimal Control Problems Containing Uncertainty
Date
2022-08-29
Author
Yücel, Hamdullah
Çiloğlu, Pelin
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URI
https://hdl.handle.net/11511/99168
Conference Name
Computational Methods in Applied Mathematics (CMAM 2022)
Collections
Graduate School of Applied Mathematics, Conference / Seminar
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The present work introduces a method to solve constrained nonlinear optimal control problems using state-dependent coefficient factorization and Chebyshev polynomials. A recursive approximation technique known as approximating sequence of Riccati equations is used to replace the nonlinear problem by a sequence of linear-quadratic and time-varying approximating problems. The state variables are approximated and expanded in Chebyshev polynomials. Then, the control variables are written as a function of state ...
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H. Yücel and P. Çiloğlu, “Solving Optimal Control Problems Containing Uncertainty,” presented at the Computational Methods in Applied Mathematics (CMAM 2022), Vienna, Avusturya, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99168.