A Geometric Approach with Stability for Two-Dimensional Systems

摘要

In this paper we consider the problem of internal and external stabilisation of controlled invariant and output nulling subspaces via static feedback, for 2-D Fornasini-Marchesini models. A computationally tractable procedure for the stabilisation of these subspaces is developed via linear matrix inequality (LMI) techniques. This is a preliminary step towards the solution of so-called disturbance decoupling problems with stability requirements.