A structured approach for input derivative index-2 descriptor dynamical model control

Abstract

This paper reveals a practical manner to deal with the control design of dynamical systems governed by input derivative index-2 first order differential algebraic equations. This class of dynamical model embeds a polynomial which results in a infinite gain in high frequencies. The idea is grounded on the construction of an adequate SISO controller structure to make possible the control design on a model presenting both rational and a first order polynomial parts. The design approach then leads to a controller in a rational form without any algebraic constrain, which can be implemented on a real-time target. Application for gust load control of a complex aeroservoelastic aircraft dynamical model, which naturally embeds an input derivative action, illustrates the approach, using an H∞-norm minimization performance objective.