Robust Multi-Objective Feedback Design with Linear Guaranteed-Cost Bounds

This paper considers the problem of designing a state feedback control law which minimizes multiple quadratic performance objectives in the presence of uncertain linear plant dynamics Vec tor optimization techniques are used to minimize upper bounds on each performance objective guaranteed cost By exploiting the linear uncertainty bound introduced by Bernstein the vector optimization problem is scalarized and Pareto optimal solutions are computed The theory is applied to a numerical example with two quadratic performance measures