Output stabilisation in multiple model approach to modelling

In this paper, the separation principle for discrete nonlinear systems in multiple model representation is investigated. The separation principle deals with a property which allows the multiple observer and the multiple controller to be designed separately. Using the quadratic Lyapunov technique and LMIs (Linear Matrix Inequalities) formulation, sufficient conditions for the global exponential stability of discrete multiple controllers are derived which are dual to those for the global exponential convergence of discrete multiple observers. A numerical example is given to illustrate the method.