COBEM99

S8 Engenharia Aeroespacial

Title:

FUNCTIONAL OF VOLTERRA FOR REPRESENTATION OF AIRCRAFT NON-LINEAR DYNAMICS

Summary :

ABSTRACT. THIS WORK PRESENTS AN APPROACH FOR THE SYSTEMATIC IDENTIFICATION OF THE NON LINEAR DYNAMICS OF AIRCRAFT THROUGH A FUNCTIONAL OF VOLTERRA. IT IS DEMONSTRATED THAT THE FUNCTIONAL OF VOLTERRA CAN BE USED TO REPRESENT THE CONTINUOUS TIME DYNAMIC ANSWER OF ANY NON LINEAR INVARIANT SYSTEM. BESIDES, THE FUNCTIONAL OF VOLTERRA ALSO PROPITIATES THE DESCRIPTION OF THE SYSTEM IN TERMS OF BILINEAR SYSTEMS. THIS REPRESENTATION OFFERS LARGER POSSIBILITIES TO PROJECT CONTROL OF NON LINEAR SYSTEMS. THE RIGIDITY OF THE MATHEMATICAL FORMULATION OF THE FUNCTIONAL OF VOLTERRA HAS BEEN MOTIVATING SEVERAL FUNCTIONAL REPRESENTATIONS OF DIFFERENT FORMS TO EXTEND THE APPLICABILITY OF THE MODELS OF DYNAMIC SYSTEMS. RECENTLY, WITH THE PROGRESSES IN THE THEORY OF COMPUTATIONAL NEURAL NETWORKS, A PECULIAR ARCHITECTURE OF NEURAL NETWORKS WAS DEVELOPED IN A WAY TO BE EQUIVALENT TO A DISCREET TIME SERIES OF VOLTERRA. THIS METHODOLOGY FACILITATES THE DETERMINATION OF THE KERNEL OF VOLTERRA FOR ANY WANTED ORDER. THE NEURAL NETWORK APPROACH, TO ACHIEVE A VOLTERRA SERIES, IS APPLIED FOR THE CASE OF AN AIRCRAFT NON-LINEAR LONGITUDINAL DYNAMICS. RESULTS HAVE SHOWN THAT THE APPROACH PERFORMS WELL, PROVIDES SUITABLE APPROXIMATION OF THE NON-LINEAR BEHAVIOUR OF AIRCRAFT LONGITUDINAL DYNAMICS AND FURTHER APPLICATIONS IN AIRCRAFT NON-LINEAR ANALYSIS AND CONTROL DESIGN. KEY-WORDS: VOLTERRA FUNCTIONAL, IDENTIFICATION, AIRCRAFT NON LINEAR DYNAMICS

Author :

Belo, Eduardo Morgado
Marques, Flávio Donizeti

Paper View :