作者：
Zwart, HansUniv Twente
Fac Elect Engn Math & Comp Sci Dept Appl Math POB 217 NL-7500 AE Enschede Netherlands Eindhoven Univ Technol
Dept Mech Engn POB 513 NL-5600 MB Eindhoven Netherlands
In 1968 Fattorini published in SIAM Journal on Control his well-known paper with the title Boundary Control systems. In this paper he sets up the abstract theory for systems described by partial differential equations...
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In 1968 Fattorini published in SIAM Journal on Control his well-known paper with the title Boundary Control systems. In this paper he sets up the abstract theory for systems described by partial differential equations with a control at the boundary. The theory as presented is complete, meaning that it could be copied into textbooks and articles without major alternations. In his paper and in these textbooks one finds examples illustrating the use of this abstract concept. However, as we will show, these examples are much older, and are more or less standard within the theory of partial differential equations with an inhomogeneous boundary condition. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
This paper studies double imaginary characteristic roots in the case of time-delay systems with two delays as parameters. We aim to identify the direction in which double roots cross the imaginary axis, when the delay...
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作者：
Zwart H.University of Twente
Faculty of Electrical Engineering Mathematics and Computer Science Department of Applied Mathematics P.O. Box 217 Enschede AE 7500 Netherlands Eindhoven University of Technology
Department of Mechanical Engineering P.O. Box 513 Eindhoven MB 5600 Netherlands
In 1968 Fattorini published in SIAM Journal on Control his well-known paper with the title Boundary Control systems. In this paper he sets up the abstract theory for systems described by partial differential equations...
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This paper presents boundary observer design for state-of-charge (SOC) estimation of lithium-ion batteries. The lithium-ion battery dynamics are governed by thermal-electrochemical principles, which mathematically mod...
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This paper presents boundary observer design for state-of-charge (SOC) estimation of lithium-ion batteries. The lithium-ion battery dynamics are governed by thermal-electrochemical principles, which mathematically modeled by partial differential equations (PDEs). In general, the model is a reaction-diffusion equation with time-dependent coefficients. A Luenberger observer is developed using infinite-dimensional backstepping method and uses only a single measurement at the boundary of the battery. The observer gains are computed by solving the observer kernel equation. A numerical example is performed to show the applicability of the design. (C) 2017 The Authors. Published by Elsevier Ltd.
This goal of this paper is to study a priori error estimates of triangular mixed finite element methods for distributedparameter *** state and the co-state are discretized by the lowest order Raviart-Thomas mixed fin...
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This goal of this paper is to study a priori error estimates of triangular mixed finite element methods for distributedparameter *** state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is discretized by piecewise constant *** derive a priori error estimates for the coupled state and control ***,we present an numerical example which confirm our theoretical results.
This paper is concerned with state estimation for systems governed by partial differential equations. Kalman filters are optimal state estimators in that they minimize the estimation error variance for given measureme...
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ISBN:
(纸本)9781509028733
This paper is concerned with state estimation for systems governed by partial differential equations. Kalman filters are optimal state estimators in that they minimize the estimation error variance for given measurements. The focus of this paper is the achievement of additional minimization of the error variance by also optimizing over the sensor design. The optimal sensor design problem is thus incorporated into the estimation problem. Not only the sensor location but also other factors such as sensor shape and the effect of the sensors on system dynamics are included in the optimization criteria. The problem is first stated formally, and then it is shown to be well-posed and to possess an optimal solution. Applications to a one-dimensional diffusion equation and also to a two-dimensional wave equation are given. A computational framework for calculation of optimal shape is described.
A mixed Galerkin formulation for reduced-order modeling is presented for controller design of distributed parameter systems with boundary inputs. A null space approach is established to yield appropriate trial and tes...
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A mixed Galerkin formulation for reduced-order modeling is presented for controller design of distributed parameter systems with boundary inputs. A null space approach is established to yield appropriate trial and tes...
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A mixed Galerkin formulation for reduced-order modeling is presented for controller design of distributed parameter systems with boundary inputs. A null space approach is established to yield appropriate trial and test functions by using candidate trial functions which are free from boundary conditions. The approach is applicable, with considerably mild conditions on the candidate trial functions, on the interior domain as well as its boundaries. It is shown that this modeling technique yields a finite dimensional descriptor system of index 1, that is equivalent to a state-space representation suitable for controller design model. Effectiveness of the proposed method is demonstrated by an example of a heat conduction rod using polynomial functions which are not preprocessed to meet the boundary conditions. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
In this paper, we present an approach to solve the feedforward motion control problem for a flexible beam, modeled with linear Timoshenko beam theory. The originality lies in the fact that all design steps, from model...
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In this paper, we present an approach to solve the feedforward motion control problem for a flexible beam, modeled with linear Timoshenko beam theory. The originality lies in the fact that all design steps, from modeling, over discretization to feedforward control are executed within the port-Hamiltonian (PH) framework. To obtain a finite-dimensional PH model which is suitable for inversion-based feedforward control design, a geometric pseudo-spectral discretization is performed. The feedforward control is tested with a plant model implemented in standard FEM software. The results of this paper will be amended by feedback control to achieve highly dynamic motion control on a lab test rig which is currently under construction. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
This paper considers the adaptive observers of systems governed by partial differential equations with structured perturbations. As there are many combinations of control, observation, and parametric uncertainty and d...
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ISBN:
(纸本)9781509059928
This paper considers the adaptive observers of systems governed by partial differential equations with structured perturbations. As there are many combinations of control, observation, and parametric uncertainty and disturbances at the boundary, a classification of the various combinations is presented. In all cases considered, the parametric uncertainty entering the boundary is expressed as the product of the measured output with unknown parameters. Similarly, the disturbances are also entering at the same boundary as the parametric uncertainties. In all cases, the plant is written as an evolution equation in a Hilbert space and the interplay between the input, output and disturbances operators are presented, and for each case, the feasibility of the adaptive observer is discussed. Selecting the case where the boundary operator associated with the disturbance and the parametric uncertainty is co-located only with the output operator, the adaptive observer that estimates on line the process state, the disturbance and the unknown parameters is presented along with the stability and convergence results. Extensive numerical studies including the special case of nonlinear terms at the boundary are presented.
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