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Boundary Control and Estimation for Underbalanced Drilling With Uncertain Reservoir parameters

IEEE TRANSACTIONS ON CONTROL systems TECHNOLOGY 2023年第1期31卷 281-294页

作者： Strecker, Timm Aarsnes, Ulf Jakob F. Univ Melbourne Dept Elect & Elect Engn Melbourne Vic 3010 Australia Norwegian Res Ctr AS NORCE NORCE Energy Dept Drilling & Well Modeling Grp N-0166 Oslo Norway

In underbalanced drilling (UBD), the bottom hole pressure is kept below pore pressure, causing pressure-dependent influx of reservoir gas into the wellbore that makes the system unstable at low drawdowns. In this article, we propose a feedback controller which stabilizes the system, represented by the "reduced drift flux model (DFM)", around an arbitrary pressure setpoint, while using only topside measurement and assuming unknown reservoir parameters. A particular challenge with this problem is the distributed and highly nonlinear nature of the system dynamics, where the "reduced DFM" models gas-liquid flow as a nonlinear transport equation with a nonlocal integral source term. An observer estimates the distributed gas concentration, downhole pressure, and reservoir parameters by solving the system dynamics backward relative to how the gas rises in the well. The control inputs are then constructed by designing target states over the next sampling period and again solving reversed dynamics to obtain the required topside pressures. The resulting controller is implemented with a 2-min zero-order hold to accommodate the actuation limitation situation on an actual drilling rig. Finally, the results are illustrated in simulations with an industry standard drift flux formulation as the plant model.

关键词： Drilling Liquids Reservoirs Mathematical models Observers Pressure measurement Control design Adaptive control boundary control distributed parameter systems observer parameter estimation partial differential equations (PDEs) underbalanced drilling (UBD)

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Continuification Control of Large-Scale Multiagent systems Under Limited Sensing and Structural Perturbations

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IEEE CONTROL systems LETTERS 2023年 7卷 2425-2430页

作者： Maffettone, Gian Carlo Porfiri, Maurizio Di Bernardo, Mario Scuola Super Meridionale Modeling & Engn Risk & Complex Program I-80138 Naples Italy NYU Ctr Urban Sci & Progress Dept Mech & Aerosp Engn Brooklyn NY 11201 USA NYU Tandon Sch Engn Dept Biomed Engn Brooklyn NY 11201 USA Univ Naples Federico II Dept Elect Engn & Informat Technol I-80125 Naples Italy

We investigate the stability and robustness properties of a continuification-based strategy for the control of large-scale multiagent systems. Within this framework, one transforms the microscopic, agent-level description of the system dynamics into a macroscopic continuum-level, for which a control action can be synthesized to steer the macroscopic dynamics towards a desired distribution. Such an action is ultimately discretized to obtain a set of deployable control inputs for the agents to achieve the goal. The mathematical proof of convergence toward the desired distribution typically relies on the assumptions that no disturbance is present and that each agent possesses global knowledge of all the others' positions. Here, we analytically and numerically address the possibility of relaxing these assumptions for the case of a one-dimensional system of agents moving in a ring. We offer compelling evidence in favor of the use of a continuification-based strategy when agents only possess a finite sensing capability and spatio-temporal perturbations affect the macroscopic dynamics of the ensemble. We also discuss some preliminary results about the benefits of adding an integral action in the macroscopic control solution.

关键词： Agents-based systems distributed parameter systems large-scale systems

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Spatiotemporal adaptive state feedback control of a linear parabolic partial differential equation

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2023年第6期33卷 3850-3873页

作者： Wang, Jun-Wei Wang, Jun-Min Univ Sci & Technol Beijing Sch Intelligence Sci & Technol Beijing Peoples R China Beijing Inst Technol Sch Math & Stat Beijing Peoples R China Univ Sci & Technol Beijing Sch Intelligence Sci & Technol Beijing 100083 Peoples R China

This article deals with the issue of asymptotic stabilization for a linear parabolic partial differential equation (PDE) with an unknown space-varying reaction coefficient and multiple local piecewise uniform control. Clearly, the unknown reaction coefficient belongs to a function space. Hence, the fundamental difficulty for such issue lies in the lack of a conceptually simple but effective parameter identification technique in a function space. By the Lyapunov technique combined with a variant of Poincare-Wirtinger inequality, an update law is derived for estimate of the unknown reaction coefficient in a function space. Then a spatiotemporal adaptive state feedback control law is constructed such that the estimate of the unknown coefficient is bounded and the closed-loop PDE is asymptotically stable in the sense of spatial Script capital H-1 norm if a sufficient condition given in terms of space-time varying linear matrix inequalities (LMIs) is fulfilled for the estimated coefficient and the control gains. Both analytical and numerical approaches are proposed to construct a feasible solution to the space-time varying LMI problem. With the aid of the semigroup theory, the well-posedness and regularity of the closed-loop PDE is also analyzed. Moreover, two extensions of the proposed adaptive control scheme are discussed: the PDE in N-D space and the PDE with unknown diffusion and reaction coefficients. Finally, numerical simulation results are presented to support the proposed spatiotemporal adaptive control design.

关键词： adaptive control asymptotic stabilization distributed parameter systems piecewise control in space

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Backstepping Control for Vibration Suppression of 2-D Euler-Bernoulli Beam Based on Nonlinear Saturation Compensator

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IEEE TRANSACTIONS ON systems MAN CYBERNETICS-systems 2023年第5期53卷 2562-2571页

作者： Jing, Zhe Ma, Yonghao Wu, Xiaoyang He, Xiuyu Sun, Yongbin Univ Sci & Technol Beijing Sch Intelligence Sci & Technol Beijing 100083 Peoples R China Univ Sci & Technol Beijing Inst Artificial Intelligence Beijing 100083 Peoples R China Nanjing Univ Aeronaut & Astronaut Coll Automat Engn Nanjing 211106 Peoples R China

In this article, a boundary control scheme is proposed to suppress 2-D vibration of Euler-Bernoulli beam with output constraints and input saturation. The original partial differential equations (PDEs) model is transformed to a new form containing virtual control. Then a boundary controller is designed via the backstepping method to suppress the coupled vibration. The hyperbolic tangent function and Nussbaum function are employed to deal with the input saturation. A barrier Lyapunov function with time adjusting function is introduced to suppress the structural vibration of Euler-Bernoulli beam with arbitrary initial conditions. The disturbance observer is designed to deal with the unknown boundary disturbance. Finally, the simulation results show the effectiveness of the proposed vibration controller.

关键词： Backstepping Vibrations Mathematical models Lyapunov methods Structural beams Control design Uncertainty Boundary control distributed parameter systems nonlinear saturation compensator output constraint vibration control

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Polynomial Stability of Coupled Waves with Weak Indirect Damping 26

Polynomial Stability of Coupled Waves with Weak Indirect Dam...

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26th International Symposium on Mathematical Theory of Networks and systems (MTNS)

作者： Kosonen, Jasper Paunonen, Lassi Vanspranghe, Nicolas Tampere Univ Fac Informat Technol & Commun Sci Math FI-33720 Tampere Finland

We study the stability properties of coupled one-dimensional wave equations with indirect damping. We employ methods based on observability estimates for the undamped system to prove polynomial stability and rational energy decay for the classical solutions of the coupled systems. We present our results for two different kinds of indirect damping - viscous damping and weak damping. Copyright (c) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://***/licenses/by-nc-nd/4.0/)

关键词： distributed parameter systems coupled wave equations polynomial stability observability estimates output feedback

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Electrochemical State Observer Design for Li-Ion Batteries With Heterogenous Electrode Lithiation

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IEEE CONTROL systems LETTERS 2023年 7卷 3199-3204页

作者： Asif, Mian Mohammad Arsalan Bribiesca-Argomedo, Federico Univ Claude Bernard Lyon 1 Univ Lyon INSA Lyon Ecole Cent LyonCNRSAmpereUMR5005 F-69621 Villeurbanne France

Real-time reconstruction of electrochemical state information is essential for high-fidelity monitoring and high-performance operation in advanced battery management systems. In this letter, a Partial Differential Equation (PDE) based observer is developed for a simplified Doyle-Fuller-Newman electrochemical model of a Li-ion battery. This observer enables the reconstruction of the internal states of the battery based on current and voltage measurements while also exploring the impact of including new sensor technologies in the battery cell. In particular, the exploitation of reference electrode and fiber-optic sensors is considered. Stability analysis of the observer components is done using Lyapunov techniques, their effectiveness in spatially tracking the electrochemical states of the original system is demonstrated through simulation results, and robustness to noise in input is analyzed.

关键词： Electrolytes Observers Mathematical models Electrodes Lithium Voltage measurement Stability analysis distributed parameter systems observers for nonlinear systems stability of nonlinear systems

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Regional gradient observability for fractional differential equations with Caputo time-fractional derivatives

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INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL 2023年第5期11卷 2423-2437页

作者： Zguaid, Khalid El Alaoui, Fatima-Zahrae Torres, Delfim F. M. Moulay Ismail Univ Fac Sci Dept Math TSI Team Meknes 11201 Morocco Univ Aveiro Dept Math Ctr Res & Dev Math & Applicat CIDMA P-3810193 Aveiro Portugal

We investigate the regional gradient observability of fractional sub-diffusion equations involving the Caputo derivative. The problem consists of describing a method to find and recover the initial gradient vector in the desired region, which is contained in the spatial domain. After giving necessary notions and definitions, we prove some useful characterizations for exact and approximate regional gradient observability. An example of a fractional system that is not (globally) gradient observable but it is regionally gradient observable is given, showing the importance of regional analysis. Our characterization of the notion of regional gradient observability is given for two types of strategic sensors. The recovery of the initial gradient is carried out using an expansion of the Hilbert uniqueness method. Two illustrative examples are given to show the application of the developed approach. The numerical simulations confirm that the proposed algorithm is effective in terms of the reconstruction error.

关键词： distributed parameter systems Control theory Fractional calculus Regional analysis Gradient observability Gradient strategic sensors

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Representation of PDE systems With Delay and Stability Analysis Using Convex Optimization

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IEEE CONTROL systems LETTERS 2023年 7卷 3627-3632页

作者： Jagt, Declan S. Peet, Matthew M. Arizona State Univ SEMTE Tempe AZ 85287 USA

Partial Integral Equations (PIEs) have been used to represent both systems with delay and systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this letter, we show that these results can be combined to obtain a PIE representation of any suitably well-posed 1D PDE model with constant delay. In particular, we represent these delayed PDE systems as coupled systems of 1D and 2D PDEs, obtaining a PIE representation of both subsystems. Taking the feedback interconnection of these PIE subsystems, we then obtain a 2D PIE representation of the 1D PDE with delay. Next, based on the PIE representation, we formulate the problem of stability analysis as convex optimization of positive operators which can be solved using the PIETOOLS software suite. We apply the result to PDE examples with delay in the state and boundary conditions.

关键词： distributed parameter systems delay systems stability of linear systems LMIs

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Explicit Backstepping Kernel Solutions for Leak Detection in Branched Pipe Flows

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IEEE CONTROL systems LETTERS 2023年 7卷 913-918页

作者： Wilhelmsen, Nils Christian A. Aamo, Ole Morten Norwegian Univ Sci & Technol Dept Engn Cybernet N-7491 Trondheim Norway

solutions are given for a set of n + m linear hyperbolic observer backstepping kernel equations used for leak detection in branched pipe flows. It is identified that the kernel equations can be separated into N + 1 distinct Goursat problems for 2(j + 1) coupled PDEs each, j is an element of {0, 1, . . . , N} and N + 1 being the number of pipes connected via the branching point. Expressing the solutions as infinite matrix power series, the solution to each set of equations is shown to depend on a simplified, scalar Goursat problem, the solution of which is given in terms of derivatives of a modified Bessel function of the first kind. Furthermore, it is shown that the infinite matrix power series expressing the solution writes in terms of modified Bessel functions of the first kind and Marcum Q-functions, as is the case for the previously solved 2 x 2 constant coefficient case. A numerical example showing adaptive observer gains for leak detection computed via the explicit solutions for multiple operating points of a branched pipe flow is given to illustrate the results.

关键词： distributed parameter systems observers for linear systems fluid flow systems

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Fault Diagnosis of Hyperbolic distributed parameter System

Fault Diagnosis of Hyperbolic Distributed Parameter System

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Data Driven Control and Learning systems (DDCLS)

作者： Yu Song Jianxiang Zhang Institute of Intelligent Systems and Control Guangxi University of Science and Technology School of Automation Liuzhou P. R. China

ISBN: (数字)9798350361674

ISBN: (纸本)9798350361681

The problem of iterative learning control for hyperbolic distributed parameter systems with faults under sensor/actuator networks is studied. Many results have been achieved in previous studies on iterative learning control, but the problem of fault diagnosis for partial differential systems has rarely been mentioned. Therefore, this paper considers for the first time the occurrence of faults in a class of hyperbolic distributed-parameter systems with fluctuation equations having Kelvin-Voigt damping and viscous damping, and gives the corresponding fault estimation algorithms. An iterative learning based fault diagnosis algorithm and fault estimator are constructed in the article. The convergence of nonlinear system faults in sensor/actuator networks is demonstrated using the principle of compressive mapping. The convergence conditions for the convergence of virtual faults to real faults are obtained through rigorous mathematical analysis. Finally, numerical simulations are carried out according to the convergence conditions, and the numerical simulation results verify the effectiveness of the fault diagnosis algorithm designed in this paper.

关键词： Fault diagnosis Damping Numerical simulation Iterative algorithms Sensor systems Sensors distributed parameter systems

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