OPTIMAL PLACEMENT AND GAINS OF SENSORS AND ACTUATORS FOR FEEDBACK-CONTROL

This paper presents an optimal design method for placement and gains o f actuators and sensors in output feedback control systems. A quadrati c performance function is minimized using nonlinear programming. The n ew contribution is the derivation of analytical expressions for the gr adients of the performance function. These gradients are important bec ause they can be efficiently computed and do not suffer from errors as sociated with finite differences. This makes the method suitable for s ystems with a Large number of actuators. Several numerical studies are performed for a two-dimensional structure. In all cases, even with 10 0 optimization variables, convergence is rapid.