An LMI formulation for output feedback stabilization in multiple model approach

This paper studies the design of a static output feedback controller for nonlinear systems described by multiple model approach. Motivated by quadratic stabilization result developed for parallel distributed compensation (PDC) controller, an output PDC controller that corresponds to a nonlinear static output feedback control law is proposed. Both stabilization and pole placement are addressed, first by a cone complementarity formulation of the problem and then by transformation to the linear matrix inequality (LMI) problem. An example is given to illustrate the results.