Robust Analysis for Missile Lateral Acceleration Control Using Finite Inclusion Theorem.

Abstract

In this paper, polynomial eigenstructure assignment design approach is applied to the lateral acceleration control for a tactical missile model. The tail-controlled missile in the cruciform n conguration is modelled as a second-order quasi-linear parameter-varying system. Polynomial eigenstructure assignment is seen as an approach to perform dynamic inversion where the controller has a chosen structure. Although developed primarily for LTI systems, the design approach uses here the explicit parametrisation of the LPV system and thus lead to a LPV controller. Keeping the polynomial framework, robustness to parametric uncertainties is then assessed based on a nite version of the Nyquist Theorem, the Finite Nyquist Theorem and its extension to polynomial families, the Finite Inclusion Theorem. Simplifying the value set using the Mapping Theorem, the multi-linear polynomial family is captured and its D-stable robustness assessed. Finally, simulations show good tracking of lateral acceleration with fast response time and lead to discussion on the robust properties of the closed-loop system.