Consideration of plant uncertainties in the optimum structural-control design

An integrated design approach for the optimum design of a controlled structure is presented. The control design method takes into consideration both structured and unstructured uncertainties by improving a bound on the H∞ norm of the closed-loop system and satisfying a constraint on the linear quadratic Gaussian performance index. The controller is designed by solving three Riccati equations. The weight of the structure is specified as an objective function with constraints on the structural frequencies, the closed-loop damping, and the performance index. The numerical results are presented for a three-dimensional truss structure to illustrate the application of the integrated approach