Time Response Options for Structural Damage Mitigation Using an Actuator Load

Abstract

It is well known that time responses in a single input system cannot be altered under a state variable based feedback control system design. The closed loop eigenvector options assignable using the linear state feedback controller is fixed in single input systems. As a result, time responses are also fixed. However, when state derivative feedback is augmented, similar to a multiple input system, several closed loop eigenvector options are possible. Hence, it allows time response shaping available in the single input systems. In this paper, a novel procedure to design simultaneous state and state derivative feedback controller for single input systems is presented. Then to illustrate its utility, structural damage growth mitigation (active structural prognosis) using time response shaping under a structural load is illustrated. It is shown that the life of the damaged structure in a dynamic environment is possible to extend using time response options resulting from a typical state/state derivative feedback controller. A discrete dynamic structure is considered to illustrate the underlying principles of active structural prognosis.