Smart Choice and Location of Sensors and Actuators for Aeroelastic Object Motion Control

Abstract

AbstractNew results of application of the sensor system optimization method developed by the authors had been achieved in the solving of the dual problem of optimal choice and location of actuators in the control system of aeroelastic object. This method initially was proposed to optimize the sensor choice and position of measuring system appropriate for the estimation of the aerospace vehicle motion parameters and the elastic components of this motion. The accuracy of the estimation of these parameters determines the anticipated error in the conformation of controlled variables of state-space vector to the preset values. The control system consists of the estimator and the regulator with time variable parameters optimal for the chosen quadric performance index and the stochastic models of noises and disturbances. The maximal admissible dispersions of the controlled variables estimation errors and time-average magnitudes of the chosen criterions are assumed as limitations for a Linear Matrix Inequalities (LMI) based sensors system optimization problem using a specified goal function related with the number, type and accuracy of sensors. The single set of LMIs defining requirements for estimate accuracy, control quality and consumption by minimizing the goal function had been formed for considered LQG control system consisting of an observer and controller to determine the required number, parameters, and location of sensors and actuators.