WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Bilinear Control based on Linear Matrix Inequalities
Author:
Abstract: In this paper we consider the bilinear model in the cell cycle specific cancer chemotherapy. The realistic control schemes have to deal with parametric uncertainties, hence, we apply the robust control to maximize both the bone marrow mass and the dose over the treatment interval. The robust control for bilinear system requires a solution to the state dependent algebraic Riccati equation. The bilinear system is described as polytopic parameter varying systems where state vector as parameter varying. The formulation of controller synthesis is done with reformulated the bilinear matrix inequalities in linear matrix inequalities for each subsystem on a polytope. Feasible solution which satisfies the linear matrix inequalities for design the controller is found. From the numerical calculations, we obtain the optimal treatment that prevent excessive destruction of the bone marrow based on the specific weights in our objective functional.
Search Articles
Pages: 352-358
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #43