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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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A Case Study of Port-Hamiltonian systems With a Moving Interface

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IEEE CONTROL systems LETTERS 2023年 7卷 1572-1577页

作者： Kilian, Alexander Maschke, Bernhard Mironchenko, Andrii Wirth, Fabian Univ Passau Fac Comp Sci & Math D-94032 Passau Germany Univ Claude Bernard Lyon LAGEPP UCB Lyon 1 CNRS UMR 5007 CPE Lyon Batiment 308 G F-69622 Villeurbanne France

We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and provide sufficient conditions for its Kato-stability. An example shows that these conditions are quite restrictive. The more general question under which conditions an evolution family is generated remains open.

关键词： Mathematical models Couplings Differential operators Symmetric matrices Hilbert space Energy resolution Color Port-Hamiltonian systems strongly continuous semigroups linear systems distributed parameter systems moving interface Kato-stability

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Feedforward PID Controller Design For a Parabolic Trough Solar Collector 4

Feedforward PID Controller Design For a Parabolic Trough Sol...

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4th IFAC Conference on Advances in Proportional-Integral-Derivate Control (PID)

作者： Leal, Marta Alvarez, Jose Domingo Castilla, Marla del Mar Berenguel, Manuel Univ Almeria Solar Energy Res Ctr CIESOL ceiA3 Ctra Sacramento S-N Almeria 04120 Spain Univ Almeria Dept Informat ceiA3 Ctra Sacramento S-N Almeria Spain

distributed parameter systems (DPS) are widely recognised in the process industry. An innovative feedforward control strategy for the DPS of a parabolic trough collector (PTC) has been developed with the aim of rejecting disturbances. This feedforward is designed on a transfer function based on a semi-physical model. This transfer function includes an irrational term that models the resonance dynamics in the system response. For validation, this approach is compared with a proportional-integral (PI) design and other existing feedforward designs in literature. The results show that the proposed approach significantly improves the system performance in the presence of disturbances addressing system dynamics at medium and high frequencies. 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： Feedforward control PID control distributed parameter systems Resonance

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Thermodynamics Analysis of the distributed parameter Model of Counterflow Heat Exchanger

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IFAC-PapersOnLine 2023年第2期56卷 10460-10465页

作者： Jacques Kadima Kazaku Denis Dochain Moïse Mukepe Kahilu Jimmy Kalenga Kaunde Kasongo Department of Mathematical Engineering ICTEAM UCLouvain 4-6 avenue G. Lemaître B-1348 Louvain-La-Neuve Belgium Department of Electromechanics and Mine Université de Lubumbashi route Kasapa 1825 D.R. Congo

In this paper we are interested in the thermodynamic analysis of a counterflow heat exchanger, when the dynamics are described by two hyperbolic partial differential equations (PDEs). First from the first and second law of thermodynamics we derive the different models of the heat exchanger. Next we perform an analysis of the equilibrium profiles from a certain condition on the system parameters that guarantees the existence and uniqueness of the solution of the PDEs model. In this analysis we show the importance of the thermal pinch as an energy efficiency factor. Finally we study the passivity and the asymptotic stability of the considered heat exchanger essentially basing ourselves on the entropy as a storage function, entropy production as a dissipation function, and the thermodynamic availability function as a Lyapunov function.

关键词： Non-equilibrium thermodynamics heat exchangers distributed parameter systems stability passivity

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Passive-guaranteed modeling and simulation of a finite element nonlinear string model 8

Passive-guaranteed modeling and simulation of a finite eleme...

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8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC)

作者： Roze, David Raibaud, Mathis Geoffroy, Thibault IRCAM CNRS UMR 9912 Sci & Technol Mus & Son 1 Pl Igor Stravinsky F-75004 Paris France Squarp SAS 12 Rue Marceau F-93100 Montreuil France

This paper proposes to solve the dynamics of the Kirchhoff-Carrier nonlinear string model using the finite elements method. In order to ensure the power balance of the resulting finite dimensional model it is rewritten in the Port-Hamiltonian System (PHS) formalism. Using a discrete gradient and a quadratization of the Hamiltonian, an explicit power-preserving numerical scheme is proposed. Results of simulation are presented. Copyright (C) 2024 The Authors.

关键词： distributed parameter systems Numerical Methods Hamiltonian dynamics Port-Hamiltonian systems Quadratization Nonlinear string model Finite elements method

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Relationships between the maximum principle and dynamic programming for infinite dimensional stochastic control systems

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JOURNAL OF DIFFERENTIAL EQUATIONS 2023年第1期358卷 103-146页

作者： Chen, Liangying Lu, Qi Sichuan Univ Sch Math Chengdu Peoples R China UPMC Univ Paris 06 Sorbonne Univ Lab Jacques Louis LJLL Paris France

The Pontryagin type maximum principle and Bellman's dynamic programming principle serve as two of the most important tools in solving optimal control problems. There is a huge literature on the study of relationship between them. The main purpose of this paper is to investigate the relationship between the Pontryagin type maximum principle and the dynamic programming principle for control systems governed by stochastic evolution equations in infinite dimensional space, with the control variables entering into both the drift and the diffusion terms. To do so, we first prove the dynamic programming principle for those systems without employing the martingale solutions. Then we establish the desired relationships in both cases that value function associated is smooth or nonsmooth. For the nonsmooth case, in particular, by employing the relaxed transposition solution, we discover the connection between the superdifferentials and subdifferentials of value function and the first-order and second-order adjoint equations. (c) 2023 Elsevier Inc. All rights reserved.

关键词： Pontryagin type maximum principle Dynamic programming Stochastic optimal control Stochastic distributed parameter systems

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A novel approach to stability analysis of a wide class of irrational linear systems

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FRACTIONAL CALCULUS AND APPLIED ANALYSIS 2023年第1期26卷 70-90页

作者： Turkulov, Vukan Rapaic, Milan R. Malti, Rachid Univ Novi Sad Fac Tech Sci Trg Dositeja Obradovica 6 Novi Sad Serbia Univ Bordeaux CNRS Bordeaux INP IMSUMR 5218 F-33400 Talence France

This paper presents a general methodology for finding stability equivalence regions, of a wide class of linear time-invariant systems with irrational transfer functions, inside a parametric space. The proposed methodology can be applied to distributed-parameter, time-delay and fractional systems. Unlike rational transfer functions which have only a finite number of poles, irrational transfer functions may generally possess an infinite number of poles, branch points and even essential singularities. Due to this, stability of such systems is more difficult to analyze. Two variants of the new methodology are presented. The first one analyzes stability equivalence along a curve in the parametric space, starting from a given parametric point. The second one finds the maximal stability equivalence region in the parametric space around a given parametric point. Both methodologies are based on iterative application of Rouch & eacute;'s theorem. They are illustrated on several examples, including heat diffusion equation and generalized time-fractional telegrapher's equation, which exhibit special functions such as sinh and cosh of root s, the Laplace variable of order 0.5.

关键词： Stability distributed parameter systems Irrational transfer functions Fractional systems

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Strictly Uniform Exponential Decay of the Mixed-FEM Discretization for the Wave Equation With Boundary Dissipation

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IEEE CONTROL systems LETTERS 2023年 7卷 2155-2160页

作者： Del Rey Fernandez, David C. C. Mora, Luis A. A. Morris, Kirsten Univ Waterloo Dept Appl Math Waterloo ON N2L 3G1 Canada

Uniform preservation of stability in approximations of wave equations is a long-standing issue. In this letter, a one-dimensional wave equation with a partially reflective boundary is approximated using a first-order mixed finite element method. The multiplier method is used to prove that the approximated systems are exponentially stable with a decay rate independent of the mesh size. Upper bounds on the exponential decay are obtained in terms of the physical parameters.

关键词： Propagation Stability criteria Numerical stability Eigenvalues and eigenfunctions Continuous time systems Control theory Splines (mathematics) distributed parameter systems exponential decay rate Index Terms mixed-FEM approximation stability of linear systems

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FEM Based Modelling and PID Controllers Design for a Class of distributed parameter systems

FEM Based Modelling and PID Controllers Design for a Class o...

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International Conference on Process Control (PC)

作者： Belavy, Cyril Vlcek, Marcel Vitalos, Filip Lel'o, Stanislav Sismisova, Dana Slovak Univ Technol Bratislava Fac Mech Engn Inst Automat Measurement & Appl Informat Bratislava 81231 Slovakia

ISBN: (纸本)9781479909261;9781479909278

In the paper models of distributed parameter systems in the form of lumped-input/distributed-output systems are introduced and modelling of temperature fields of a melting glass process by using of finite element method in software Environment COMSOL Multiphysics is presented. Obtained distributed characteristics are exported to the MATLAB & Simulink, where lumped and distributed models for control synthesis purpose are created. By means of distributed parameter systems Blockset for MATLAB & Simulink, feedback distributed parameter system of control is arranged, where for chosen PID control synthesis method, simulation of control process of temperature field of melting glass is executed and analyzed.

关键词： distributed parameter systems modelling finite element method control temperature fields

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IMC Based Robust Controller Design for distributed parameter systems

IMC Based Robust Controller Design for Distributed Parameter...

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International Conference on Process Control (PC)

作者： Belavy, Cyril Vitalos, Filip Vlcek, Marcel Lel'o, Stanislav Michalecko, Marek Slovak Univ Technol Bratislava Fac Mech Engn Inst Automat Measurement & Appl Informat Bratislava 81231 Slovakia

ISBN: (纸本)9781479909261;9781479909278

In the paper, the robust control of temperature fields of the casting mould in the benchmark casting plant is presented. Temperature fields of the mould are represented by dynamic models in the form of a finite-dimensional approximation of distributed parameter systems. Models are created by means of an experimental identification. The control synthesis is decomposed to the time and space domain. For the control synthesis with internal model control structure in the time domain, an uncertainty of the controlled system is considered and robust controllers are designed.

关键词： distributed parameter systems uncertainty robust control temperature field casting mould

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