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检索条件"主题词=distributed parameter systems"

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Anaerobic Digestion Process Identification Using Recurrent Neural Network Model

Anaerobic Digestion Process Identification Using Recurrent N...

引用

Mexican International Conference on Artificial Intelligence, MICAI

作者： Rosalba Galvan-Guerra Ieroham S. Baruch Department of Automatic Control CINVESTAV Mexicali Mexico

This paper proposes the use of a recurrent neural network model (RNNM) for decentralized and centralized identification of an aerobic digestion process, carried out in a fixed bed and a recirculation tank anaerobic wastewater treatment system. The analytical model of the digestion bioprocess represented a distributed parameter system, which is reduced to a lumped system using the orthogonal collocation method, applied in three collocation points. The proposed decentralized RNNM consists of four independently working recurrent neural networks (RNN), so to approximate the process dynamics in three different measurement points plus the recirculation tank. The RNN learning algorithm is the dynamic Backpropagation one. The comparative graphical simulation results of the digestion wastewater treatment system approximation, obtained via decentralized and centralized RNNM learning, exhibited a good convergence, and precise plant variables tracking.

关键词： Recurrent neural networks Neural networks Wastewater treatment distributed parameter systems Backpropagation algorithms Aerodynamics Heuristic algorithms Control systems Controllability Observability

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Optimal online parameter estimation for a class of infinite dimensional systems using Kalman filters

Optimal online parameter estimation for a class of infinite ...

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American Control Conference (ACC)

作者： M.A. Demetriou K. Ito Department of Mechanical Engineering Worcester Polytechnic Institute Worcester MA USA Department of Mathematics North Carolina State University Raleigh NC USA

We consider the problem of online parameter estimation for a class of structurally perturbed infinite dimensional systems. By viewing the system as an augmented system with the unknown constant parameters being the additional states, a time varying infinite dimensional system results whose evolution operator depends on the available output signal. An optimal filter for the resulting time varying system is proposed which optimally reconstructs both the state and unknown parameters. Well-posedness results for the optimal observer are summarized along with an example that illustrate the applicability of this approach to a parabolic partial differential equation.

关键词： parameter estimation State estimation Observers Time varying systems Convergence distributed parameter systems Adaptive systems Filters Partial differential equations Gain measurement

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Multivariable tuning regulators for infinite-dimensional systems with unbounded control and observation

Multivariable tuning regulators for infinite-dimensional sys...

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IEEE Conference on Decision and Control

作者： Hartmut Logemann David H. Owens Department of Mathematics University of Strathclyde Glasgow UK

This paper deals with the problem of multivariable low-gain PI-control of infinite-dimensional stable systems with unbounded control and observation operators. We show that under very mild assumptions a fairly large class of infinite-dimensional systems can be stabilized and regulated by multivariable PI-controllers with sufficiently low gain. The controller design can be accomplished using plant step data, no exact knowledge of the plant is required.

关键词： Regulators Control systems Stability Tuning distributed parameter systems Laplace equations Mathematics Poles and towers Jacobian matrices Tracking loops

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Optimal control of distributed systems with derivative dependent cost functionals

Optimal control of distributed systems with derivative depen...

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IEEE Conference on Decision and Control

作者： K. E. Park Department of Electrical Engineering University of Rochester Rochester NY USA

The optimal regulator of distributed parameter systems with its cost functional involving time derivatives of distributed control vectors or state spatial and time derivative terms as well as the usual terms containing the control and state vectors has been analyzed by introducing augmented variables. A very significant result in modern control theory is that, for a linear, finite-dimensional, dynamical systems, the state feedback law derived from a quadratic performance index function minimization problem is linear. Generalization of the above result to a infinite-dimensional, distributed parameter dynamical systems with quadratic cost functional involving derivative terms is made possible from stability considerations. The state feedback law, realized by a linear distributed parameter dynamical system, has operator representations.

关键词： Optimal control Cost function Vectors State feedback Regulators distributed parameter systems distributed control Control systems Control theory Performance analysis

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Infinite dimensional models: approximation and realization

Infinite dimensional models: approximation and realization

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IEEE Conference on Decision and Control

作者： N. Guijarro L. Lefevre G. Dauphin-Tanguy Cité Scientifique Ecole Centrale de Lille Villeneuve France

ISBN: (纸本)0780366387

We introduce a procedure to treat passive functional nodes in bond graphs. This procedure is carried out in three steps. First, we approximate the initial infinite dimensional model by a finite one with huge dimension. Then we reduce it to a lower dimension model. Finally, we realize this latter model by a lumped parameter electrical network.

关键词： Power system modeling Bonding Transfer functions Power supplies Reduced order systems Control system analysis Control system synthesis Network synthesis distributed parameter systems Delay systems

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Discrepancy-based control of a heat equation with quadratic nonlinearity

Discrepancy-based control of a heat equation with quadratic ...

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American Control Conference

作者： Stefan Palis Achim Kienle Otto-von-Guericke-Universitat Universitatsplatz 2 D-39106 Magdeburg Germany

ISBN: (纸本)9781479932757

This article deals with a new approach to stabilizing boundary control for nonlinear parabolic PDEs. The system under investigation is the quadratic heat equation. In order to stabilize this system in this contribution the use of a generalized distance measure, the discrepancy, is proposed. Applying, the associated stability theory, i.e. stability theory with respect to two discrepancies, a stabilizing control law can be derived.

关键词： Convergence Stability analysis Equations Asymptotic stability Heating Mathematical model distributed parameter systems

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Analysis and numerical integration of nonlinear systems using MD passive circuits

Analysis and numerical integration of nonlinear systems usin...

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IEEE International Symposium on Circuits and systems (ISCAS)

作者： B.G. Mertzios F.N. Koumboulis Department of Electrical and Computer Eng. Democritus University of Thrace Xanthi Greece Department of Mechanical & Industrial Eng. University of Thessally Volos Greece

The problem of analysing multivariable nonlinear (NL) partial differential equations (PDEs) is studied via the numerical integration of the set of equations. The class of equations is quite general involving multivariations to the weights of the partial derivative terms. To accomplish the numerical integration the original system is transformed then realized as a passive generalized Kirchhoff circuit. The Kirchhoff circuit can be appropriately discretized in order to be represented by a discrete multidimensional (MD) system, using principles of wave digital filters (WDFs).

关键词： Nonlinear systems Passive circuits Partial differential equations Nonlinear equations Multidimensional systems Digital filters distributed parameter systems Circuit analysis computing Computer industry Differential equations

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Optimal order reduction for the the two-dimensional burgers’ equation

Optimal order reduction for the the two-dimensional burgers...

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IEEE Conference on Decision and Control

作者： Seddik M. Djouadi R. Chris Camphouse James H. Myatt Department of Electrical and Engineering University of Tennessee Knoxville TN USA U.S. Air Force Research Laboratory OH USA

ISBN: (纸本)9781424414970;1424414970

Two popular model reduction methods, the proper orthogonal decomposition (POD), and balanced truncation, are applied together with Galerkin projection to the two- dimensional Burgers' equation. This scalar equation is chosen because it has a nonlinearity that is similar to the Navier- Stokes equation, but it can be accurately simulated using far fewer states. However, the number of states required is still too high for controller design purposes. The combination of POD and balanced truncation approaches results in a reduced order model that captures the dynamics of the input-output system. In addition, These two techniques are shown to be optimal in the sense of distance minimizations in spaces of Hilbert-Schmidt integral operators. POD is interpreted as a shortest distance minimization from an L 2 space-time function to a particular tensor product subspace. Both POD and balanced truncation are shown to be optimal approximations by finite rank operators in the Hilbert-Schmidt norm, the latter when starting with a balanced state space realization.

关键词： Reduced order systems Nonlinear equations Aerodynamics Hilbert space Vehicle dynamics Tensile stress distributed parameter systems Feedback control Optimal control USA Councils

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A Partial Order Approach to Decentralized Control of Spatially Invariant systems

A Partial Order Approach to Decentralized Control of Spatial...

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Annual Allerton Conference on Communication, Control, and Computing

作者： Parikshit Shah Pablo A. Parrilo Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology Cambridge MA

ISBN: (纸本)9781424429257

In this paper, we consider a class of spatially distributed systems which have a special property known as spatial invariance. It is well-known that for such problems, the problem of designing decentralized controllers is hard. In this paper, we generalize some previously known results and show that for a certain class of problems, the control problem has a convex reformulation. We employ the notion of partially-ordered sets and the associated notion of incidence algebras to introduce a class of systems called poset causal systems. We show that poset causal systems are a fairly large class of systems that properly include some other classes of systems studied in the literature (namely cone-causal and funnel causal systems). Finally we show that the set of poset-causal controllers for poset-causal plants are amenable to a convex parameterization.

关键词： distributed control Algebra Large-scale systems Control systems Communication system control Centralized control Vehicles Power distribution distributed parameter systems Convolution

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Flatness-based Deformation Control of a 1-Dimensional Microbeam with In-domain Actuation

Flatness-based Deformation Control of a 1-Dimensional Microb...

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Annual Conference on IEEE Industrial Electronics Society

作者： Amir Badkoubeh Guchuan Zhu Department of Electrical Engineering Ecole Polytechnique de Montreal

ISBN: (纸本)9781467324199

This paper addresses the problem of asymptotic tracking control of a micro-beam described by Euler-Bernoulli equation actuated by a one-dimensional array of micro-actuators. This system represents a one-dimensional model of deformable mirrors widely used in wavefront control and optical aberration correction in adaptive optics systems. The proposed control that allows steering the mirror along smooth reference trajectories consists in first mapping the nonhomogeneous partial differential equation model of the system into a standard boundary control form. Then, a combination of the methods of energy multiplier and flatness-based motion planning is used so that the closed-loop system is stabilized around reference trajectories. The viability and the applicability of the developed scheme is demonstrated through numerical simulations.

关键词： Microelectromechanical systems distributed parameter systems Tracking control Flat systems

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