Browsing NTNU Open by Author "Anfinsen, Henrik"
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A note on establishing convergence in adaptive systems
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We present a new formulation of a convergence result for Lyapunov function candidates satisfying a differential inequality with integrable coefficients that often appears in adaptive control problems. Usually, Barbalat’s ... 
Adaptive Control of a Linear Hyperbolic PDE with Uncertain Transport Speed and a Spatially Varying Coefficient
Anfinsen, Henrik; Holta, Haavard H. F.; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)Recently, the first result on backsteppingbased adaptive control of a 1D linear hyperbolic partial differential equation (PDE) with an uncertain transport speed was presented. The system also had an uncertain, constant ... 
Adaptive Control of a Linear, Scalar Hyperbolic PDE with TimeVarying Coefficients
Anfinsen, Henrik; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)We extend a previous result regarding adaptive control of a linear hyperbolic partial differential equation (PDE) with timevarying indomain source coefficient in two ways. Firstly, we introduce a parametrization of the ... 
Adaptive Control of a Scalar 1D Linear Hyperbolic PDE with Uncertain Transport Speed Using Boundary Sensing
Anfinsen, Henrik; Holta, Haavard H. F.; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)We solve an adaptive boundary control problem for an 1D linear hyperbolic partial differential equation (PDE) with an uncertain indomain source parameter and uncertain transport speed using boundary sensing only. Convergence ... 
Adaptive control of linear 2 x 2 hyperbolic systems
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We design two closely related state feedback adaptive control laws for stabilization of a class of 2 × 2 linear hyperbolic system of partial differential equations (PDEs) with constant but uncertain indomain and boundary ... 
Adaptive Control of Linear Hyperbolic PDEs
Anfinsen, Henrik (Doctoral theses at NTNU;2018:113, Doctoral thesis, 2018)Coupled firstorder linear hyperbolic partial differential equations (PDEs) can be used to model flow and transport phenomena. Relevant physical systems that can be modeled as hyperbolic PDEs are, to mention a few, ... 
Adaptive OutputFeedback Stabilization of 2 x 2 Linear Hyperbolic PDEs with Actuator and Sensor Delay
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We derive an adaptive outputfeedback stabilizing controller for a system of 2 × 2 linear hyperbolic partial differential equations (PDEs) with delayed, anticollocated sensing and control. This is done by using a series ... 
Adaptive setpoint regulation of linear 2x2 hyperbolic systems with application to the kick and loss problem in drilling
Holta, Haavard H. F.; Anfinsen, Henrik; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)We study the kick and loss detection and attenuation problem in managed pressure drilling by modeling the well as a distributed parameter system. Two cases are considered, distinguished by whether downhole pressure ... 
Control of a TimeVariant 1–D Linear Hyperbolic PDE using InfiniteDimensional Backstepping
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We derive a statefeedback controller for a scalar 1D linear hyperbolic partial differential equation (PDE) with a spatiallyand timevarying interiordomain parameter. The resulting controller ensures convergence to zero ... 
Disturbance Attenuation in Linear 2 x 2 Hyperbolic Systems: With Application to the Heave Problem in Managed Pressure Drilling
Anfinsen, Henrik (Master thesis, 2013)Many physical systems can be modelled using linear 2 x 2 hyperbolic partial differential equations. The act of stabilizing systems of this type hastherefore been subject to extensive research, and a number of techniques ... 
Improved Kick and Loss Detection and Attenuation in Managed Pressure Drilling by Utilizing Wired Drill Pipe
Holta, Haavard H. F.; Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)A model based method for kick and loss detection and attenuation in Managed Pressure Drilling is presented. The drilling system is modeled as a distributed parameter system combined with a reservoir flow equation containing ... 
Leak detection, size estimation and localization in branched pipe flows
Anfinsen, Henrik; Aamo, Ole Morten (Peer reviewed; Journal article, 2022)We design a leak detection, size estimation and localization algorithm for a branched pipe system, requiring flow and pressure measurements to be taken at the inlet and outlet boundaries, only. By showing that the pipe ... 
Minimum Time Bilateral Observer Design for 2 x 2 Linear Hyperbolic Systems
Wilhelmsen, Nils Christian Aars; Anfinsen, Henrik; Aamo, Ole Morten (Chapter, 2019)In this paper we derive a minimum time convergent bilateral observer for a 2×2 system of linear coupled firstorder 1D hyperbolic PDEs. First, a Volterra integral transformation is combined with a Fredholm integral ... 
Minimum Time Disturbance Rejection and Tracking Control of n+m Linear Hyperbolic PDEs
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We extend recent results regarding disturbance rejection control of n+m linear hyperbolic partial differential equations (PDEs) in a number of ways: 1) We allow spatially varying coefficients; 2) The disturbance is allowed ... 
Minimum time observer designs for n+m linear hyperbolic systems with unilateral, bilateral or pointwise indomain sensing
Wilhelmsen, Nils Christian A.; Anfinsen, Henrik; Aamo, Ole Morten (Peer reviewed; Journal article, 2021)In this paper we derive minimum time convergent observers for systems of linear coupled firstorder 1D hyperbolic PDEs, that use either unilateral (single boundary measured), bilateral (both boundaries measured) or ... 
Model Reference Adaptive Control of 2 x 2 Coupled Linear Hyperbolic PDEs
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We solve a model reference adaptive control problem for a class of linear 2 × 2 hyperbolic partial differential equations (PDEs) with uncertain system parameters subject to harmonic disturbances, from a single boundary ... 
Reducing Overparametrization in MRAC for Hyperbolic PDEs
Anfinsen, Henrik; Gajic, Natasa; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)We construct a method of dealing with the problem of overparameterization in model reference adaptive control (MRAC) of 2 ×2 linear hyperbolic partial differential equations (PDEs). The method is based on linear interpolation ... 
Stabilization and tracking control of a timevariant linear hyperbolic PIDE using backstepping
Anfinsen, Henrik; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)We extend previous results regarding infinitedimensional backsteppingbased controller design for linear hyperbolic partial (integro)differential equations (P(I)DEs), and derive a statefeedback controller for a PIDE ... 
Stabilization of a linear hyperbolic PDE with actuator and sensor dynamics
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We consider a scalar 1D linear hyperbolic partial differential equation (PDE) for which infinitedimensional backstepping controllers have previously been designed based on boundary actuation and sensing, and incorporate ...