Abstract
This paper is concerned with simultaneous optimal design of adaptive structures consisting of structural and control systems. In this paper, we use the fact that the nonconvex problem is approximated by a convex one by adding a semidefinite positive function, so-called a convexifying function, to make the constraint convex. This paper proposes a method of simultaneous optimization for state feedback gains and structural parameters. The system formulation is given using the descriptor form representation of the plant under the LMI (Linear Matrix Inequality) constraint. A simple numerical example of a flexible beam structure is given to demonstrate the effectiveness of the proposed method.
