Browsing NTNU Open by Author "Anfinsen, Henrik"
Now showing items 1-19 of 19
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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 backstepping-based adaptive control of a 1-D 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 Time-Varying 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 time-varying in-domain source coefficient in two ways. Firstly, we introduce a parametrization of the ... -
Adaptive Control of a Scalar 1-D 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 1-D linear hyperbolic partial differential equation (PDE) with an uncertain in-domain 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 in-domain and boundary ... -
Adaptive Control of Linear Hyperbolic PDEs
Anfinsen, Henrik (Doctoral theses at NTNU;2018:113, Doctoral thesis, 2018)Coupled first-order 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 Output-Feedback 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 output-feedback stabilizing controller for a system of 2 × 2 linear hyperbolic partial differential equations (PDEs) with delayed, anti-collocated sensing and control. This is done by using a series ... -
Adaptive set-point 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 down-hole pressure ... -
Control of a Time-Variant 1–D Linear Hyperbolic PDE using Infinite-Dimensional Backstepping
Anfinsen, Henrik; Aamo, Ole Morten (Journal article; Peer reviewed, 2018)We derive a state-feedback controller for a scalar 1-D linear hyperbolic partial differential equation (PDE) with a spatially-and time-varying interior-domain 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 first-order 1-D 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 in-domain 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 first-order 1-D 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 time-variant linear hyperbolic PIDE using backstepping
Anfinsen, Henrik; Aamo, Ole Morten (Peer reviewed; Journal article, 2020)We extend previous results regarding infinite-dimensional backstepping-based controller design for linear hyperbolic partial (integro-)differential equations (P(I)DEs), and derive a state-feedback 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 1-D linear hyperbolic partial differential equation (PDE) for which infinite-dimensional backstepping controllers have previously been designed based on boundary actuation and sensing, and incorporate ...