Optimal Reconfigurable Control for Adaptive Structures With Pole Constraints

Linear quadratic optimal regulator in multi-input setting exhibits several properties that are useful in adaptive control of structures. Its ability to preserve guaranteed stability margins in each input channel is particularly attractive to switch actuators, develop management schemes and meet the response tailoring objectives in the structure. A stabilizing controller for each of these actuators is already known from the regulator design. Since these controllers are infinite gain margin controllers, it is shown that they are also linear quadratic optimal with respect to a scalar multiplying the controller corresponding to the actuator. In this paper, these optimal controllers in a reconfigurable architecture are considered. Dynamic response tailoring by each actuator combination is investigated. Further, while switching actuators, parametric robustness of the reconfigurable systems is assessed with respect to the perturbed eigenvalues in a circular region. An oscillator model and a cantilever beam are used to illustrate the dynamic response tailoring in an adaptive structure using conventional and reconfigurable control principles.