Published January 1, 2017
| Version v1
Journal article
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Drug Administration in Cancer Treatment via Optimal Nonlinear State Feedback Gain Matrix Design
Creators
- 1. Def Ind Res & Dev Inst, TR-06261 Ankara, Turkey
- 2. Gazi Univ, Mech Engn Dept, TR-06570 Ankara, Turkey
Description
Based on successive linear time varying (LTV) approximations, the paper suggests an optimal control design method for a general class of nonlinear systems. By using the LTV approximations, optimal state feedback gain matrix is designed such that a given non-quadratic cost function is minimized It is proved that optimal state feedback gain matrix obtained from the LTV approximations converges to the optimal state feedback gain matrix of the nonlinear system. This enables one to use the approximated optimal state feedback gain matrix for the optimal control of the nonlinear dynamical system. The proposed approach is then used to design optimal chemotherapy administration for the cancer treatment. It is shown that once the optimal state feedback gain matrix is designed for the treatment then the drug administration could be carried out with the same gain matrix. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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