Control With Initial Conditions

We consider the problem of H^infin (uniformly optimal) control with non-zero initial conditions. Quantitative results are derived for examining whether the performance of an H^infin controller is robust against uncertainty in the initial conditions of both the plant and controller. State-space approach for the construction of the controllers that achieve a certain H^infin performance bound when the magnitude of the initial condition is known to lie within some maximum singular value bound is also presented