Data-driven fixed-structure frequency-based <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e704" altimg="si3.svg"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e714" altimg="si4.svg"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> controller design
Philippe Schuchert, Vaibhav Gupta, Alireza Karimi
Abstract
The frequency response data of a system is used to design fixed-structure controllers for the ℋ2 and ℋ∞ synthesis problem. The minimization of the two and infinity norm of the transfer function between the exogenous inputs and performance outputs is approximated by a convex optimization problem involving Linear Matrix Inequalities (LMIs). A very general controller parametrization is used for continuous and discrete-time controllers with a matrix transfer function or state-space representation. Numerical results indicate that the proposed data-driven method gives equivalent performance to model-based approaches when a parametric model is available.
Topics & Concepts
Parametrization (atmospheric modeling)H-infinity methods in control theoryParametric statisticsState-space representationTransfer functionNorm (philosophy)AlgorithmConvex optimizationMathematicsComputer scienceApplied mathematicsControl theory (sociology)Regular polygonArtificial intelligenceControl (management)StatisticsGeometryRadiative transferLawElectrical engineeringPolitical scienceQuantum mechanicsPhysicsEngineeringControl Systems and IdentificationFault Detection and Control SystemsStability and Control of Uncertain Systems