An application of optimal linear regulators with prescribed steady states∗

Abstract

Abstract This paper considers a problem of regulator design for linear systems with slowly varying measurable disturbances. The design procedure for such regulator systems is doveloped by introducing the notion of prescribed, disturbance-dependent steady states. In this approach, steady states are not necessarily zero, as they have to be in the standard regulator solution. This regulator design can be applied to a class of systems in which the cancellation of the effect of disturbances is neither possible nor desirable, by assuming that all states have zero steady-state values. For the modified problem, less restrictive conditions are derived ; the range space of the disturbance distribution matrix is not required to be contained in the range space of the control distribution matrix. As an example, the optimal load and frequency regulator for two interconnected systems is designed so that both optimal transients and desired steady-state characteristics of the system are obtained, satisfying the prescribed steady states.