Data-Driven Control of Linear Time-Varying Systems
Benita Nortmann, Thulasi Mylvaganam
Abstract
An identification-free control design strategy for discrete-time linear time-varying systems with unknown dynamics is introduced. The closed-loop system (under state feedback) is parametrised with data-dependent matrices obtained from an ensemble of input-state trajectories collected offline. This data-driven system representation is used to classify control laws yielding trajectories which satisfy a certain bound and to solve the linear quadratic regulator problem - both using data-dependent linear matrix inequalities only. The results are illustrated by means of a numerical example.
Topics & Concepts
Control theory (sociology)Representation (politics)Linear systemState (computer science)Linear-quadratic regulatorComputer scienceQuadratic equationDiscrete time and continuous timeMatrix (chemical analysis)Control (management)Identification (biology)Linear-quadratic-Gaussian controlMathematicsAlgorithmArtificial intelligenceLawPoliticsBiologyStatisticsComposite materialMathematical analysisGeometryPolitical scienceBotanyMaterials scienceControl Systems and IdentificationFault Detection and Control SystemsAdvanced Control Systems Optimization