A Simultaneous Structure/Controller Design Iteration Method

Several methods are presented for placement/constrained optimization of the closed loop eigenvalues and eigenvectors of linear dynamical systems. A unified approach is taken to (i) iterate the design parameters in the plant being controlled, (ii) the location of sensor and actuators, (iii) the elements of a direct output feedback gain matrix, and (iv) the weight matrices in a time-domain LQG performance index, or (v) a combination of the foregoing, to accomplish a constrained, simultaneous optimization of the system´s closed loop eigenvalues, eigenvectors, and their sensitivities. A low dimensioned discrete system and an order 42 model of a flexible structure controlled via direct output feedback are used to illustrate the approach.