Litcius/Paper detail

Adaptive Controller and Observer Design Using Open and Closed-Loop Reference Models for Linear Time-Invariant Systems With Unknown Dynamics

Sveinung Johan Ohrem, Christian Holden

2021IEEE Transactions on Automatic Control19 citationsDOIOpen Access PDF

Abstract

This article presents an output feedback controller and observer design approach for linear time-invariant systems with unknown dynamics. The presented method uses an open-loop reference model to generate the desired trajectory and a closed-loop reference model as an observer. The controller only uses the observer states. Lyapunov-based stability proofs show that the error states converge asymptotically to zero and that all other signals are uniformly stable. Furthermore, bounds are proven on the transient behavior.

Topics & Concepts

Control theory (sociology)Open-loop controllerObserver (physics)Lyapunov functionReference modelLTI system theoryController (irrigation)Exponential stabilityMathematicsSeparation principleAdaptive controlInvariant (physics)TrajectoryLinear systemMathematical proofStability theoryComputer scienceClosed loopState observerControl engineeringControl (management)Nonlinear systemEngineeringArtificial intelligencePhysicsAgronomySoftware engineeringBiologyAstronomyMathematical analysisGeometryMathematical physicsQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsStability and Controllability of Differential Equations