  We present a new theoretical framework for designing linear parameter varying
controllers in the polynomial chaos framework. We assume the scheduling
variable to be random and apply polynomial chaos approach to synthesize the
controller for the resulting linear stochastic dynamical system. Two algorithms
are presented that minimize the performance objective with respect to the
stochastic system. The first algorithm is based on Galerkin projection and the
second algorithm is based on stochastic collocation. LPV controllers from both
the algorithms are shown to outperform classical LPV designs with respect to
regulator design for nonlinear missile system.
