STATIC OUTPUT FEEDBACK CONTROL OF LINEAR PARAMETER VARYING SYSTEMS

Abstract

The synthesis problem of static output feedback controllers within the anisotropic-norm setup for Linear Parameter Varying system is considered. A synthesis approach involving iterations over a convex optimisation problem is suggested, leading to a gain-scheduled con¬troller. The results are formulated by a couple of Linear Matrix In¬equalities and a coupling bilinear equality, using a parameter depen¬dent Lyapunov function. Following LPVTOOL, the problem which is continuous in the gain-scheduling parameter, and hence infinite dimen¬sional, is approximated by a finite grid leading to a tractable sequence of convex optimization problems. The design method is demonstrated on a simple example from the field of flight control.