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21st IFAC World Congress on Automatic Control - Meeting Societal Challenges

作者： Danciu, Daniela Rasvan, Vladimir Univ Craiova Dept Automat & Elect AI Cuza 13 RO-200585 Craiova Romania

Usually the water hammer models in hydroelectric engineering are described by the adapted Saint-Venant Partial Differential Equations with linear and nonlinear boundary conditions. If the dynamic head and the Darcy-Weisbach losses are neglected the PDEs are linear hyperbolic and can be tackled by associating a system of Neutral Functional Differential Equations with two delays - there are two conduits (the tunnel and the penstock). The time scale analysis shows that in certain cases arising from practice the dynamics of the penstock can be considered as described by ordinary differential equations. Consequently the water hammer dynamics has now a single time delay. The stability is then discussed by analyzing the characteristic equation: frequency domain methods combined with algebraic ones are implied. In this way stability by the first approximation is obtained. From the engineering point of view the results display the stabilizing role of the surge tank. Copyright (C) 2020 The Authors.

关键词： distributed parameter systems Linear systems Time delay Stability

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Control of Energy systems as distributed parameter systems with Software Support by Virtual Software Environments

Control of Energy Systems as Distributed Parameter Systems w...

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51st IEEE Annual Conference on Decision and Control (CDC)

作者： Hulko, Gabriel Rohal'-Ilkiv, Boris Noga, Pavol Lipar, Slavomir Slovak Univ Technol Bratislava Inst Automat Measurement & Appl Informat Fac Mech Engn IAMAI FME STU Nam Slobody 17 Bratislava 81231 Slovakia Slovak Univ Technol Bratislava Ctr Control Distributed Parameter Syst Bratislava 81231 Slovakia IAMAI FME STU Bratislava 81231 Slovakia

ISBN: (纸本)9781467320665

Thanks to development of information technology, the so-called virtual software environments offer wide possibilities for the estimation of time-space dynamical characteristics of energy systems, including modeling, control and design of distributed parameter systems. Based on these advances, we present a novel approach to control energy systems as lumped-input and distributed-parameter-output systems. An adaptive-predictive controller is deployed to control temperature fields to ensure optimal conditions for the desulphurization process in a coal-burning fluidized bed furnace, demonstrating the potential of the proposed methodology.

关键词： adaptive control coal combustion control engineering computing distributed parameter systems fluidised beds furnaces predictive control temperature control

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An Observer for the Electrically Heated Vertical Rijke Tube with Nonlinear Heat Release 21st

An Observer for the Electrically Heated Vertical Rijke Tube ...

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21st IFAC World Congress on Automatic Control - Meeting Societal Challenges

作者： Wilhelmsen, Nils Christian A. Di Meglio, Florent PSL Res Univ Ctr Automat & Syst MINES ParisTech F-75006 Paris France

This paper proposes an observer for the electrically heated vertical Rijke tube, using a model capable of inciting thermoacoustic instabilities. The model consists of linear, distributed acoustics coupled with nonlinear, lumped heat release. Using a boundary pressure measurement taken at the bottom end of the tube, the observer is designed by copying the system model and reconstructing both the bottom and top boundary conditions, the former exactly and the latter with an error that is shown to be converge to zero exponentially. It is proven that the observer produces state estimates that converge to their correct values asymptotically. Furthermore, it is shown the state estimation errors stay bounded when there is a modelling error in the boundary acoustic impedance. The proposed observer is simulated and compared to two alternative observers. Copyright (C) 2020 The Authors.

关键词： Thermoacoustics Rijke tube Observers Nonlinearities distributed parameter systems

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Time-delay Compensation and Stabilization for a Flexible Satellite 39

Time-delay Compensation and Stabilization for a Flexible Sat...

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39th Chinese Control Conference (CCC)

作者： Ma, Yonghao He, Xiuyu Li, Guang He, Wei Univ Sci & Technol Beijing Inst Artificial Intelligence Beijing 100083 Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China Univ Sci & Technol Beijing Shunde Grad Sch Foshan 528399 Peoples R China Queen Mary Univ London Sch Engn & Mat Sci London E1 4NS England

ISBN: (纸本)9789881563903

This paper investigates two-dimensional manoeuvre of a flexible satellite with time-delay in observation. Considered satellite consists of a rigid hub in center and two flexible appendages. In this paper, an observer and a predictor are developed for compensating time-delay in observation and a controller is developed to eliminate the deformation of two panels. Finally, stability of the system under proposed controller is obtained based on Lyapunov's arguments, and numerical simulation results prove that the developed delay compensation scheme and control method can effectively suppress the vibration of satellite.

关键词： Vibration control Flexible satellite Time-delay compensation distributed parameter systems

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Tube-based Robust Model Predictive Control for a distributed parameter System Modeled as a Polytopic LPV

Tube-based Robust Model Predictive Control for a Distributed...

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American Control Conference

作者： Jawad Ismail Steven Liu Department of Electrical and Computer Engineering Technical University of Kaiserslautern Kaiserslautern Germany

ISBN: (数字)9781538682661

ISBN: (纸本)9781538682678

distributed parameter systems (DPS) are formulated as partial differential equations (PDE). Especially, under time-varying boundary conditions, PDE introduce force coupling. In the case of the flexible stacker crane (STC), nonlinear coupling is introduced. Accordingly, online trajectory planning and tracking can be addressed using a nonlinear model predictive control (NMPC). However, due to the high computational demands of a NMPC, this paper discusses a possibility of embedding nonlinearities inside a linear parameter varying (LPV) system and thus make a use of a numerically low-demanding linear MPC. The resulting mismatches are treated as parametric and additive uncertainties in the context of robust tube-based MPC (TMPC). For the proposed approach, most of the computations are carried out offline. Only a simple convex quadratic program (QP) is conducted online. Additionally a soft-constrained extension was briefly proposed. Simulation results are used to illustrate the good performance, closed-loop stability and recursive feasibility of the proposed approach despite uncertainties.

关键词： distributed parameter systems nonlinear model predictive control time varying Model predictive control Predictive control Parametric Simulation results

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LMI Observer Design for a Class of Tubular Reactors 24

LMI Observer Design for a Class of Tubular Reactors

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24th International Conference on System Theory, Control and Computing (ICSTCC)

作者： Yupanqui Tello, Ivan Francisco Wouver, Alain Vande Coutinho, Daniel Univ Mons Syst Estimat Control & Optimizat SECO Mons Belgium Univ Fed Santa Catarina Postgrad Program Engn Automat & Syst Florianopolis SC Brazil

ISBN: (纸本)9781728198095

This paper is concerned with the observer design for one-dimensional class of nonisothermal tubular reactors considering in-domain pointwise measurements of temperature over the entire spatial domain. A Lyapunov-based design method is derived for the PDE system providing sufficient conditions, in the form of standard linear matrix inequalities (LMIs), for the exponential convergence of the estimation error with a given decay rate. The approach is applied and tested with a representative case of a tubular reactor with non-monotonic kinetics satisfying the sufficient solvability conditions. Simulation results support the effectiveness of the suggested design.

关键词： nonisothermal tubular reactors distributed parameter systems parabolic PDEs state estimation linear matrix inequalities

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Robust Time-space Control of Temperature Field in Continuous Casting Process 30

Robust Time-space Control of Temperature Field in Continuous...

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30th International Conference on Cybernetics and Informatics (K and I)

作者： Belavy, Cyril Bartalsky, Lukas Sismisova, Dana Hulko, Gabriel Slovak Univ Technol Bratislava Fac Mech Engn Bratislava Slovakia

ISBN: (纸本)9781728143811

In the paper, the robust time-space control of temperature fields in the secondary cooling zone of the continuous casting process is presented. Temperature fields models are in the form of a finite-dimensional approximation of distributed parameter systems and are created by means of finite element method modelling. The control synthesis is decomposed to the time and space domain. For the robust control synthesis with internal model control structure in the time domain, an uncertainty of the controlled system is considered and robust controllers in four lumped control loops are designed.

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

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LQR Control of Moisture Distribution in Microwave Drying Process Based on a Finite Element Model of Parabolic PDEs 21st

LQR Control of Moisture Distribution in Microwave Drying Pro...

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21st IFAC World Congress on Automatic Control - Meeting Societal Challenges

作者： Hosseini, Marzieh Kaasinen, Anna Link, Guido Lahivaara, Timo Vauhkonen, Marko Univ Eastern Finland Dept Appl Phys Kuopio Finland Karlsruhe Inst Technol Inst Pulsed Power & Microwave Technol Karlsruhe Germany

The microwave drying process is a widely used technology in the drying of porous dielectric materials. Designing a controller for moisture distribution in this process can improve product quality and reduce energy consumption and production time. In this paper, a model-based controller for moisture distribution in an industrial microwave drying process is developed. The moisture and temperature in this process are described by a pair of partial differential equations (PDEs) and have both temporal and spatial variations. In this view, using a semi-discrete finite element approximation, the coupled system of PDEs is transformed into a system of ordinary differential equations (ODEs). Based on the discretized ODEs, a linear quadratic regulator (LQR) controller is designed to determine the power levels of multiple microwave sources in this process to reach and maintain the desired moisture level. Numerical simulations are carried out in three different drying scenarios. The results show that the proposed controller achieves a very good performance in tracking the desired moisture level. Copyright (C) 2020 The Authors.

关键词： distributed parameter systems Linear Quadratic Regulator (LQR) Control Finite Element Method Microwave Drying Moisture Control

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Trajectory Tracking Control for a Class of 2×2 Hyperbolic PDE-ODE systems

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IFAC-PapersOnLine 2021年第9期54卷 416-421页

作者： A. Irscheid N. Gehring J. Rudolph Chair of Systems Theory and Control Engineering Saarland University 66123 Saarbrücken Germany Institute of Automatic Control and Control Systems Technology Johannes Kepler University 4040 Linz Austria

This paper introduces an approach to trajectory tracking control of linear 2×2 hyperbolic partial differential equations (PDEs) actuated at one boundary and coupled with ordinary differential equations (ODEs) at the other one. Well-known state feedback methods that benefit from so-called backstepping coordinates are limited to the case of boundary conditions consisting of linear time-invariant ODEs. In a first step, the new approach is introduced for this restricted class of linear dynamic boundary conditions. It is shown that tracking control is immediately achieved by a surprisingly simple, yet elegant, modification of a stabilizing state feedback. Then, a direct extension for solving trajectory tracking problems for a class of nonlinear ODEs at the unactuated boundary is discussed. Numerical studies underline the performance of the proposed method.

关键词： tracking control PDE-ODE systems boundary control predictor feedback distributed parameter systems hyperbolic systems

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Variance Optimization and Control Regularity for Mean-Field Dynamics ⁎

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IFAC-PapersOnLine 2021年第19期54卷 13-18页

作者： Benoît Bonnet Francesco Rossi Inria Paris Laboratoire Jacques-Louis Lions Sorbonne Université Université Paris-Diderot SPC CNRS Inria 75005 Paris France Dipartimento di Matematica “Tullio Levi-Civita” Università degli Studi di Padova 63 via Trieste Padova Italy

We study a family of optimal control problems in which one aims at minimizing a cost that mixes a quadratic control penalization and the variance of the system, both for finitely many agents and for the mean-field dynamics as their number goes to infinity. While solutions of the discrete problem always exist in a unique and explicit form, the behavior of their macroscopic counterparts is very sensitive to the magnitude of the time horizon and penalization parameter. When one minimizes the final variance, there always exists a Lipschitz-in-space optimal controls for the infinite dimensional problem, which can be obtained as a suitable extension of the optimal controls for the finite-dimensional problems. The same holds true for variance maximizations whenever the time horizon is sufficiently small. On the contrary, for large final times (or equivalently for small penalizations of the control cost), it can be proven that there does not exist Lipschitz-regular optimal controls for the macroscopic problem.

关键词： Mean-Field Optimal Control Conservation Laws distributed parameter systems

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