Data-Driven Gain Scheduling Control of Linear Parameter-Varying Systems Using Quadratic Matrix Inequalities
Jared Miller, Mario Sznaier
Abstract
This letter synthesizes a gain-scheduled controller to stabilize all possible Linear Parameter-Varying (LPV) plants that are consistent with measured input/state data records. Inspired by prior work in data informativity and LTI stabilization, a set of Quadratic Matrix Inequalities is developed to represent the noise set, the class of consistent LPV plants, and the class of stabilizable plants. The bilinearity between unknown plants and ‘for all’ parameters is avoided by vertex enumeration of the parameter set. Effectiveness and computational tractability of this method is demonstrated on example systems.
Topics & Concepts
Gain schedulingQuadratic equationScheduling (production processes)Control theory (sociology)MathematicsMatrix (chemical analysis)Computer scienceLinear matrix inequalityMathematical optimizationApplied mathematicsControl (management)Artificial intelligenceMaterials scienceGeometryComposite materialControl Systems and IdentificationAdvanced Control Systems OptimizationStability and Control of Uncertain Systems