Direct data-driven control of LTV systems
Benita Nortmann, Thulasi Mylvaganam
Abstract
Considering discrete-time linear time-varying systems with unknown dynamics, controllers guaranteeing bounded closed-loop trajectories, optimal performance and robustness to process and measurement noise are designed via convex feasibility and optimisation problems involving purely data-dependent linear matrix inequalities. For the special case of periodically time-varying systems, infinite-horizon guarantees are achieved based on finite-length data sequences.
Topics & Concepts
Robustness (evolution)Control theory (sociology)Linear systemBounded functionDiscrete time and continuous timeLinear matrix inequalityComputer scienceNoise (video)Convex optimizationRegular polygonMathematicsRobust controlMathematical optimizationControl systemControl (management)EngineeringStatisticsImage (mathematics)Artificial intelligenceMathematical analysisChemistryBiochemistryGeometryGeneElectrical engineeringControl Systems and IdentificationFault Detection and Control SystemsStability and Control of Uncertain Systems