Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Optimal placement of sensors for the output feedback control of structures using quadratic performance criterion
Submission Author:
Helio Cruz , SP
Co-Authors:
Marcelo A. Trindade, Helio Cruz
Presenter: Helio Cruz
doi://10.26678/ABCM.COBEM2017.COB17-0396
Abstract
Optimal control has been studied in many researches of vibration control. The problem with the linear quadratic regulator (LQR) is that, in general, it requires availability of all state variables of the controlled system to be measured, and the observer alternative makes the structure of the controller complex, enlarges the system dimension and is model dependent. A possible way to overcome this problem is to use the restriction of output feedback, which is known as optimal output feedback or partial state feedback. In this paper, this method is studied considering additionally sensors locations as optimization variables. Necessary conditions of optimality are given considering that the set of possible sensors locations is continuous. The dependence on system initial condition is approached using a robust optimization formulation. Control Lyapunov functions are used to study flexible structures stability, which gives the result that the collocated control is a solution of the LQR problem. The method developed in this paper is tested on a cantilever beam modeled using the finite element method. The good results obtained indicates that the proposed method might be an alternative for the LQR or LQG control strategies.
Keywords
structural control, sensor placement optimization, optimal output feedback
