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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Molina, Nataly Ines Challapa Cunha, Jose Paulo V. S. Univ Estado Rio De Janeiro Dept Elect & Telecommun Engn Rio De Janeiro Brazil

Sliding mode control (SMC) is applied to soil irrigation. The control objective is to regulate the water content in the soil. The movement of water in the soil is modeled by the Richards equation, which is a parabolic partial differential equation (PDE). The non-collocated SMC of PDEs is considered, that is, where the sensor and the actuator are at different positions, which was not found in the literature. The existence of sliding mode in this control system is proved using a Lyapunov function, and the stability properties are analyzed using a frequency criterion of stability. Simulation results indicate the excellent transient performance and the complete rejection of external disturbances caused by water evaporation. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Sliding mode control distributed parameter systems Partial differential equation Richards equation Irrigation control

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NASA Technical Reports Server (Ntrs) 19940031358: NASA Workshop on distributed parameter Modeling and Control of Flexible Aerospace systems

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2016年

NASA Technical Reports Server (Ntrs) 19940031358: NASA Workshop on distributed parameter Modeling and Control of Flexible Aerospace systems by NASA Technical Reports Server (Ntrs); published by

关键词： (ntrs) 19940031358: aerospace aerospace systems continuum modeling control control systems design distributed distributed parameter systems dynamic characteristics equations of motion estimating finite element method flexible spacecraft keckler, claude r. [compiler] marks, virginia b. [compiler] nasa technical reports server (ntrs) parameter identification partial differential equations

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Approximation of a class of distributed parameter systems using proper orthogonal decomposition

Approximation of a class of distributed parameter systems us...

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16th International Conference on Methods and Models in Automation and Robotics (MMAR)

作者： Bartecki, Krzysztof Opole Univ Technol Inst Control & Comp Engn PL-45272 Opole Poland

ISBN: (纸本)9781457709142

In this paper, approximation of the spatio-temporal response of a hyperbolic distributed parameter system with the use of the proper orthogonal decomposition method is discussed. Based on a simulation data set, representing the profile of a selected process variable, the model reduction procedure is performed. The procedure consists in the projection of the original data into the subspace represented by eigenvectors of the spatial covariance matrix, corresponding to its highest eigenvalues. Influence of the approximation order on the response approximation error and on the data compression ratio is also analyzed.

关键词： distributed parameter systems Data compression ratio approximation simulated data variance covariance matrix Process variables Orthogonal Reduced order model RAW DATA Eigenvector Subspace Approximation error

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NASA Technical Reports Server (Ntrs) 19900000805: Active Vibration Mitigation of distributed parameter, Smart-Type Structures Using Pseudo-Feedback Optimal Control (Pfoc)

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2017年

NASA Technical Reports Server (Ntrs) 19900000805: Active Vibration Mitigation of distributed parameter, Smart-Type Structures Using Pseudo-Feedback Optimal Control (Pfoc) by NASA Technical Reports Server (Ntrs); publi... 详细信息

关键词： (ntrs) (pfoc) 19900000805: active actuators algorithms beams (supports) bending computerized simulation control control systems design controllers distributed parameter systems finite element method flexible bodies large space structures microcomputers nasa technical reports server (ntrs) optimal control parameterization patten, w. n. pierpont, d. robertshaw, h. h. structural vibration trusses vibration damping wynn, r. h.

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NASA Technical Reports Server (Ntrs) 19910013036: Likelihood Estimation for distributed parameter Models for NASA Mini-Mast Truss

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2017年

NASA Technical Reports Server (Ntrs) 19910013036: Likelihood Estimation for distributed parameter Models for NASA Mini-Mast Truss by NASA Technical Reports Server (Ntrs); published by

关键词： (ntrs) 19910013036: algorithms bending boundary conditions distributed distributed parameter systems estimates estimating estimation ground tests huang, jen-kuang large space structures likelihood maximum likelihood estimates nasa technical reports server (ntrs) partial differential equations sensitivity shen, ji-yao system identification taylor, lawrence w., jr. torsion trusses

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NASA Technical Reports Server (Ntrs) 19870004626: the Identification of a distributed parameter Model for a Flexible Structure

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2017年

NASA Technical Reports Server (Ntrs) 19870004626: the Identification of a distributed parameter Model for a Flexible Structure by NASA Technical Reports Server (Ntrs); published by

关键词： (ntrs) 19870004626: accelerometers approximation banks, h. t. cantilever beams computation damping distributed distributed parameter systems flexible flexible bodies gates, s. s. identification models nasa technical reports server (ntrs) parameter identification rosen, i. g. spline functions thrust vibration wang, y.

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Necessary and Sufficient Conditions on the Exponential Stability of Positive Hyperbolic systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2017年第7期62卷 3610-3617页

作者： Zhang, Liguo Prieur, Christophe Beijing Univ Technol Key Lab Computat Intelligence & Intelligent Syst Beijing 100124 Peoples R China Beijing Univ Technol Sch Elect Informat & Control Engn Beijing 100124 Peoples R China Univ Grenoble Alpes CNRS Gipsa Lab F-38000 Grenoble France

In this paper, a strict linear Lyapunov function is developed in order to investigate the exponential stability of a linear hyperbolic partial differential equation with positive boundary conditions. Based on the method of characteristics, some properties of the positive solutions are derived for the hyperbolic initial boundary value problems. The dissipative boundary condition in terms of linear inequalities is proven to be not only sufficient but also necessary under an extra assumption on the velocities of the hyperbolic systems. An application to control of the freeway traffic modeled by the Aw-Rascle traffic flow equation illustrates and motivates the theoretical results. The boundary control strategies are designed by integrating the on-ramp metering with the mainline speed limit. Finally, the proposed feedback laws are tested under simulation, first in the free-flow case and then in the congestion mode, which show adequate performance to stabilize the local freeway traffic.

关键词： Aw-Rascle equations distributed parameter systems exponential stability Lyapunov function positive hyperbolic systems

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Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2017年第4期62卷 1620-1635页

作者： Blandin, Sebastien Litrico, Xavier Delle Monache, Maria Laura Piccoli, Benedetto Bayen, Alexandre IBM Res Singapore 486048 Singapore Suez Water Suez R&D Ctr LyRE F-33400 Bordeaux France Rutgers Univ Camden Dept Math Sci Camden NJ 08102 USA Rutgers Univ Camden Ctr Computat & Integrat Biol Dept Math Sci Camden NJ 08102 USA Univ Calif Berkeley Dept Civil & Environm Engn Dept Elect Engn & Comp Sci Berkeley CA 94720 USA

We consider the problem of Lyapunov boundary stabilization of the weak entropy solution to a scalar conservation law with strictly convex flux in one dimension of space, around a uniform equilibrium. We show that for a specific class of boundary conditions, the solution to the initial-boundary value problem for an initial condition with bounded variations can be approximated arbitrarily closely in the L-1 norm by a piecewise smooth solution with finitely many discontinuities. The constructive method we present designs explicit boundary conditions in this class, which guarantee Lyapunov stability of the weak entropy solution to the initial-boundary value problem. We show how the greedy control, obtained by maximizing the decrease of the natural Lyapunov function, may fail to asymptotically stabilize and a brute force control generates unbounded variation of traces. We then design a stabilizing control, which avoid oscillations, and propose a nonlocal technique (depending on time and the whole initial datum) which optimizes the convergence time. Controllers performance is illustrated on numerical benchmarks using the Godunov scheme.

关键词： Boundary value problems distributed parameter systems Lyapunov methods partial differential equations

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Predictor-Feedback Stabilization of Multi-Input Nonlinear systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2017年第2期62卷 516-531页

作者： Bekiaris-Liberis, Nikolaos Krstic, Miroslav Tech Univ Crete Dept Prod Engn & Management Khania 73100 Greece Univ Calif San Diego Dept Mech & Aerosp Engn La Jolla CA 92093 USA

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different time instants, the key design challenge, which we resolve, is the construction of the predictors of the plant's state over distinct prediction horizons such that the corresponding input delays are compensated. Global asymptotic stability of the closed-loop system is established by utilizing arguments based on Lyapunov functionals or estimates on solutions. We specialize our methodology to linear systems for which the predictor-feedback control laws are available explicitly and for which global exponential stability is achievable. A detailed example is provided dealing with the stabilization of the nonholonomic unicycle, subject to two different input delays affecting the speed and turning rate, for the illustration of our methodology.

关键词： Delay systems distributed parameter systems nonlinear systems predictor feedback

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Deconvolving the input to random abstract parabolic systems: a population model- based approach to estimating blood/breath alcohol concentration from transdermal alcohol biosensor data

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INVERSE PROBLEMS 2018年第12期34卷 125006-125006页

作者： Sirlanci, Melike Rosen, I. G. Luczak, Susan E. Fairbairn, Catharine E. Bresin, Konrad Karig, Dahyeon Univ Southern Calif Dept Math Los Angeles CA 90089 USA Univ Southern Calif Dept Psychol Los Angeles CA 90089 USA Univ Illinois Dept Psychol Champaign IL 61820 USA

The distribution of random parameters in, and the input signal to, a distributed parameter model with unbounded input and output operators for the transdermal transport of ethanol are estimated. The model takes the form of a diffusion equation with the input, which is on the boundary of the domain, being the blood or breath alcohol concentration (BAC/BrAC), and the output, also on the boundary, being the transdermal alcohol concentration (TAC). Our approach is based on the reformulation of the underlying dynamical system in such a way that the random parameters are treated as additional spatial variables. When the distribution to be estimated is assumed to be defined in terms of a joint density, estimating the distribution is equivalent to estimating a functional diffusivity in a multi-dimensional diffusion equation. The resulting system is referred to as a population model, and well-established finite dimensional approximation schemes, functional analytic based convergence arguments, optimization techniques, and computational methods can be used to fit it to population data and to analyze the resulting fit. Once the forward population model has been identified or trained based on a sample from the population, the resulting distribution can then be used to deconvolve the BAC/ BrAC input signal from the biosensor observed TAC output signal formulated as either a quadratic programming or linear quadratic tracking problem. In addition, our approach allows for the direct computation of corresponding credible bands without simulation. We use our technique to estimate bivariate normal distributions and deconvolve BAC/BrAC from TAC based on data from a population that consists of multiple drinking episodes from a single subject and a population consisting of single drinking episodes from multiple subjects.

关键词： distributed parameter systems random abstract parabolic systems population model linear semigroups of operators system identification deconvolution transdermal alcohol biosensor

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