Polynomial eigenstructure assignment, application to missile autopilot

Abstract

This paper suggests another approach to eigenstructure assignment in a polynomial matrices framework. In particular, the design of eigenstructure assignment is performed without selecting initial eigenvalues. The eigenspaces of the system are handled in polynomial matrices format, where the closed-loop transfer function of the system is expressed as a coprime factorisation. The controller structure is left to the designer for more flexibility. Scalar and dynamic controllers are tackled alike. Like with classical eigenstructure assignment, the design objectives may include decoupling of modes, robustness and performance properties. This paper presents the technique in the framework of linear parameter-varying and multi-input multi-output systems. An example of LPV autopilot is designed for a model of a tactical missile. This tail-controlled missile in the cruciform fin configuration is modelled as a second-order quasi-linear parameter-varying system. Simulations show good tracking with fast responses over the full envelope