Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System
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DOI: 10.1109/lcsys.2022.3186230
Abstract: This letter deals with the stabilization of a linear hyperbolic system subject to a boundary disturbance. Our feedback design relies on a super-twisting control algorithm, which leads to a feedback that is continuous with respect… read more here.
Keywords: system; stabilization linear; hyperbolic system; control ... See more keywords
Observer Design for n + m Linear Hyperbolic ODE-PDE-ODE Systems
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DOI: 10.1109/lcsys.2022.3187498
Abstract: In this letter, an observer design is presented for a system of $n + m$ hetero-directional transport partial differential equations (PDEs) coupled on both boundaries of the domain to ordinary differential equations (ODEs). This class… read more here.
Keywords: design linear; observer design; design; hyperbolic ode ... See more keywords
Boundary Estimation of Boundary Parameters for Linear Hyperbolic PDEs
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DOI: 10.1109/tac.2016.2643442
Abstract: We propose an adaptive observer scheme to estimate boundary parameters in first-order hyperbolic systems of Partial Differential Equations (PDE). The considered systems feature an arbitrary number of states traveling in one direction and one counter-convecting… read more here.
Keywords: estimation boundary; boundary estimation; boundary parameters; linear hyperbolic ... See more keywords
Adaptive Stabilization of $ 2 \times 2$ Linear Hyperbolic Systems With an Unknown Boundary Parameter From Collocated Sensing and Control
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DOI: 10.1109/tac.2017.2700387
Abstract: In this paper, we solve an adaptive control problem for a class of $ 2 \times 2$ linear hyperbolic partial differential equations, where sensing and actuation are restricted to the boundary anticollocated with an uncertain… read more here.
Keywords: control; linear hyperbolic; tex math; parameter ... See more keywords
Rejecting Unknown Harmonic Disturbances in $ 2 \times 2 $ Linear Hyperbolic PDEs
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Control Systems Technology"
DOI: 10.1109/tcst.2016.2631511
Abstract: In this paper, we solve the problem of rejecting a harmonic disturbance containing unknown frequencies and bias entering a linear hyperbolic system of 1-D partial differential equations at one boundary, using boundary sensing and actuation… read more here.
Keywords: unknown harmonic; linear hyperbolic; harmonic disturbances; rejecting unknown ... See more keywords
A New Non-Linear Hyperbolic-Parabolic Coupled PDE Model for Image Despeckling
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Image Processing"
DOI: 10.1109/tip.2022.3149230
Abstract: In this work, we propose a non-linear hyperbolic-parabolic coupled Partial Differential Equation (PDE) based model for image despeckling. Here, a separate equation is used to calculate the edge variable, which improves the quality of edge… read more here.
Keywords: non linear; model; hyperbolic parabolic; image despeckling ... See more keywords