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PREDICTION OF AIR POLLUTANT CONCENTRATIONS IN TOKUSHIMA PREFECTURE, JAPAN

AUTOMATICA 1981年第3期17卷 493-508页

作者： YOSHIMURA, T OKAMOTO, Y SOEDA, T Department of Mechanical Engineering Faculty of Engineering Tokushima University Tokushima 770 Minamijosanjima 2-1 Japan

This paper deals with the prediction problem of air pollutant concentrations over the industrial area of Tokushima Prefecture, Japan. The mathematical model used for the prediction of air pollution, which describes the transport and diffusion of pollutants from stack emissions into the atmosphere, is expressed by the three-dimensional partial differential equation known as the advection diffusion model with initial and boundary conditions. Diffusion coefficients characterizing this model are determined effectively from the statistical processing of the available measured data obtained at two monitoring stations. The measured data of sulpher dioxide concentrations are classified by season, weather and wind speed, and then the identification of these coefficients for each class is carried out by using a line search method because of its numerical stability. The estimation theory is extensively applied to this model for obtaining the useful estimates of the spatial and temporal concentration distributions on the basis of actual measured data, in which the analytical solution of this model is given by using the Green's function under some reasonable assumptions and the suitable transformation. The effectiveness of the proposed approach for the prediction of air pollutant is indicated in simulation results.

关键词： Air pollution distributed-parameter systems modelling optimal filtering prediction

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Pseudoinversion of the Mathematical Models of distributed Differential systems with Additive Definite Nonlinearity

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CYBERNETICS AND systems ANALYSIS 2021年第1期57卷 66-81页

作者： Stoyan, V. A. Taras Shevchenko Natl Univ Kyiv Kiev Ukraine

The author considers spatially distributed dynamic systems whose linear mathematical model is complemented by a nonlinear differential term, obtained as the product of linear differential transformations of state function or by replacing such transformations of coefficients of the linear approximation of the model. Pseudoinversions of the considered mathematical models, which are consistent with their differential representation according to the root-mean-square criteria, are generated.

关键词： pseudoinversion nonlinear dynamic systems distributed-parameter systems spatially distributed dynamic systems

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Mathematical Modeling of the State of Dynamical Multiplicatively Nonlinear systems

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CYBERNETICS AND systems ANALYSIS 2022年第4期58卷 598-610页

作者： Stoyan, V. A. Taras Shevchenko Natl Univ Kyiv Kiev Ukraine

The author formulates and solves, by the root-mean-square criterion, initial-boundary-value problems of the dynamics of nonlinear spatially distributed systems. systems whose mathematical model is generated by the product of two or more differential transformations of their functions of state are considered. Analytical dependencies of this function are constructed in the presence of their discretely and continuously defined initial-boundary observations, without constraints for the number and quality of the latter. The accuracy of the sets of the obtained solutions is evaluated and their uniqueness is analyzed.

关键词： nonlinear dynamical systems systems with uncertainties distributed-parameter systems spatially distributed systems pseudosolutions ill-posed initial-boundary-value problems

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NECESSARY AND SUFFICIENT CONDITIONS FOR OPTIMAL-CONTROL OF QUASILINEAR PARTIAL-DIFFERENTIAL systems

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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1984年第1期43卷 89-101页

作者： DERZKO, NA SETHI, SP THOMPSON, GL UNIV TORONTO FAC MANAGEMENT SCITORONTO M5S 1A1ONTARIOCANADA CARNEGIE MELLON UNIV GRAD SCH IND ADMPITTSBURGHPA 15213

First-order necessary and sufficient conditions are obtained for the following quasilinear distributed-parameter optimal control problem:$$max\left\{ {J(u) = \int_\Omega {F(x,u,t) d\omega + } \int_{\partial \Omega } {G(x,t) \cdot d\sigma } } \right\},$$ subject to the partial differential equation$$A(t)x = f(x,u,t),$$ wheret,u,G are vectors andx,F are scalars. Use is made of then-dimensional Green's theorem and the adjoint problem of the equation. The second integral in the objective function is a generalized surface integral. Use of then-dimensional Green's theorem allows simple generalization of single-parameter methods. Sufficiency is proved under a concavity assumption for the maximized Hamiltonian$$H^\circ (x,\lambda ,t) = \max \{ H(x,u,\lambda ,t):u\varepsilon K\} $$.

关键词： Optimal control distributed-parameter systems control of partial differential equations sufficiency conditions Green's formula

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EXTREMUM PRINCIPLES FOR OPTIMAL-CONTROL IN NORMED LINEAR-SPACES

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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1976年第4期19卷 613-632页

作者： ANDRY, AN WALKER, JA MICHIGAN STATE UNIV DEPT MECH ENGNE LANSINGMI 48823 NORTHWESTERN UNIV DEPT MECH ENGNEVANSTONIL 60201

Extremum principles intended for use in optimal control are derived in the form of necessary conditions and sufficient conditions, formulated in general normed linear spaces. The method of application is illustrated by several examples involving optimal control problems, mathematical programming problems, lumped-parameter systems, and distributed-parameter systems. The basic theorems provide a unified approach which is applicable to a wide variety of problems in open-loop optimal control.

关键词： Extremum principles necessary conditions sufficient conditions optimal controls lumped-parameter systems distributed-parameter systems

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Boundary control of coupled reaction-advection-diffusion equations having the same diffusivity parameter

Boundary control of coupled reaction-advection-diffusion equ...

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2nd IFAC Workshop on the Control of systems Modeled by Partial Differential Equations (CPDE)

作者： Pisano, Alessandro Baccoli, Antonello Orlov, Yury Usai, Elio Univ Cagliari Dept Elect & Elect Engn Cagliari Italy CICESE Res Ctr Ensenada Baja California Mexico

We consider the problem of boundary stabilization for a system of n coupled parabolic linear PDEs of the reaction-diffusion-advection type. Particularly, we design a state-feedback law with Dirichlet-type actuation on only one end of the domain and prove exponential stability of the closed-loop system with an arbitrarily fast convergence rate. The backstepping method is used for controller design, and the transformation kernel matrix is derived by using the method of successive approximations to solve the corresponding PDE. Simulation results support the effectiveness of the suggested design. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed-parameter systems Reaction-advection-diffusion equation Boundary Control Backstepping

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Design of a Nonlinear, Dynamic Feedforward Part for the Evaporator Control of an Organic Rankine Cycle in Heavy Duty Vehicles

Design of a Nonlinear, Dynamic Feedforward Part for the Evap...

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8th IFAC Symposium on Advances in Automotive Control (AAC)

作者： Seitz, D. Gehring, O. Bunz, C. Brunschier, M. Sawodny, O. Univ Stuttgart Inst Syst Dynam D-70511 Stuttgart Germany Daimler AG D-70546 Stuttgart Germany

A model-based two degree of freedom (2DOF) controller for the evaporator outlet condition in an organic Rankine cycle (ORC) system is presented. The ORC is used in a heavy duty vehicle to convert exhaust gas heat into mechanical power which increases the fuel efficiency. The evaporator outlet condition of the working fluid is a crucial variable for the ORC efficiency which thus has to be controlled very accurately. However, the exhaust., gas thermal energy, which serves as heat source to the evaporator, is highly transient depending on the actual engine load. Therefore: excellent disturbance rejection is required with help of an efficient feedforward part. Its novel derivation is based on an exact inversion of a nonlinear, dynamic evaporator model, obtained by the finite volume method that is reduced subsequently. The resulting;feedforward controller is therefore very close to the exact inverse dynamic model. Furthermore, online parameter adaption enhances I, lie steady state accuracy of the feed forward part and compensates for model uncertainties. The improvements by the feedforward controller are shown in simulations and its applicability on the vehicle control unit is demonstrated by measurements on a DAIMLER prototype truck-tinder real traffic conditions. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： ORC fluid dynamics distributed-parameter systems finite volume method disturbance rejection: 2DOF

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Rejecting pressure fluctuations induced by string movement in drilling

Rejecting pressure fluctuations induced by string movement i...

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2nd IFAC Workshop on the Control of systems Modeled by Partial Differential Equations (CPDE)

作者： Strecker, Timm Aamo, Ole Morten Norwegian Univ Sci & Technol Dept Engn Cybernet NTNU N-7491 Trondheim Norway

Keeping the pressure within predefined bounds is essential for the safety of managed pressure drilling operations, but drill string movements can induce pressure fluctuations that violate these margins. We extend previous results on disturbance rejection for a 2 x 2 hyperbolic model of the fluid dynamics in the borehole. We perform a simulation study, in which we illustrate the controller performance for heave induced oscillations and compare it to the previously available controller. The stochasticity of sea waves induces limitations on the achievable performance. Further, the controller is applied to intended string movements, where control can be used to remove conservative limitations on the speed of the movement. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed-parameter systems Disturbance rejection Boundary control Managed pressure drilling Well control

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Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis 17

Boundary Sliding Mode Control of a Diffusion Process under S...

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17th International Workshop on Variable Structure systems

作者： Mayr, Paul Koch, Stefan Reichhartinger, Markus Pisano, Alessandro Graz Univ Technol Inst Automat & Control Graz Austria Univ Cagliari Dept Elect & Elect Engn Cagliari Italy

ISBN: (纸本)9798350353693;9798350353686

This paper investigates discretization chattering effects in a distributed-parameter process governed by the diffusion PDE and equipped with a sliding-mode-based boundary controller. The collocated measurement is sampled in time and the boundary control signal is applied through a zero-order-hold element. The limit cycle modes constituting the chattering effects are determined exactly by exploiting the difference equation method, yielding their period and spatially dependent amplitude. Simulation results show that the theoretically determined limit cycle modes occur in the closed-loop system.

关键词： Chattering effect distributed-parameter systems diffusion process boundary control zero-order-hold method

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Spectral Shift of Cylindrical Heat Equations by Full-State Boundary Feedback

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IFAC-PapersOnLine 2017年第1期50卷 7109-7114页

作者： Schmidt K. Wittmuess P. Sawodny O. Institute for System Dynamics University of Stuttgart Waldburgstr. 17/19 Stuttgart 70569 Germany

This contribution introduces a full-state boundary feedback for cylindrical heat conductors. The desired decay properties are imposed to the spectrum of linear, second-order parabolic partial differential equations (PDEs). The feedback-scheme exploits periodicity in angular direction for cylindrical coordinates to reduce the 3-dimensional (3-D) system to a set of 2-D subsystems by means of a Fourier transformation. A backstepping-based controller for shifting the spectra for each of the decoupled systems on 2-D domains is presented. It can be shown, that any decay rate of the overall tracking error can be achieved by superposing solely a finite number of these controllers. The validity of the approach is shown by simulations. © 2017

关键词： boundary control cylindrical coordinates distributed-parameter systems feedback control Heat transfer

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