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Optimization of noncollocated sensor/actuator location and feedback gain in control systems

An analytical model is developed for structural control optimization in which both noncollocated sensor/actuator placement and feedback control gain are considered as independent design variables. Two different control algorithms-active damping control and optimal output feedback control-are applied to derive the control input, and the optimal set of solutions is determined by the modified method of feasible direction. Analytical results show that noncollocated sensor/actuator location can lead to instability of the closed-loop system; however, the optimal sensor/actuator location, together with the optimal feedback control gain, can stabilize the structural control systems. In addition, the performance of both active damping control and LQ control can be maximized.