摘要：AbstractThe stable manifold method is applied to construct a nonlinear real-time feedback optimal control system for the roll motion and vertical position of a certain maglev platform. The chosen platform uses combined electromagnetic suspensions consisting of permanent magnets and upper and lower electromagnets. Within the given technical gaps between the platform and guideway, the magnetic forces provide highly nonlinear effects. This makes this object a multi-input multi-output (MIMO) nonlinear control system. The stable manifold method is applied to construct an optimal nonlinear stabilizing controller. The benefit of the nonlinear control in comparison with a linear regulator is illustrated on an ensemble of perturbed motions caused by a set of initial deviations covering the necessary engineering stabilization range.
关键词：KeywordsStability of nonlinear systemsnonlinearoptimal controlHJEstable manifoldmaglev systemreal-time feedbackensemble of trajectories
