This paper explains, from a systemic viewpoint, the importance to take into account the dynamic structure of the whole system in order to simplify the distributedparameters model of the transmission lines. Usually, t...
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This paper explains, from a systemic viewpoint, the importance to take into account the dynamic structure of the whole system in order to simplify the distributedparameters model of the transmission lines. Usually, the latter is approximated without considering its connection with the rest of the system, by comparing only its input-output behaviour with the one of the simplified model. Here, it is shown that this way to do can lead to biased results. More precisely, it is shown that the short-lines hypothesis leads to a reduction link with the 7-model but does not indicate clearly which dynamics have to be kept in the simplified model as well as their number. This is illustrated by considering the voltage collapse phenomenon. From this analysis, a more systemic approximation way is proposed to reduce subsystems of a general complex system. In power systems field, all these investigations can help to improve the models used for simulation and control synthesis. Especially, to better connect the models to the specific phenomena which have to be reproduced in simulation. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
In this paper, boundary control schemes are designed for a flexible aerial refueling hose subject to input deadzone, output constraint and external disturbances, based on partial differential equations (PDEs). Firstly...
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In this paper, boundary control schemes are designed for a flexible aerial refueling hose subject to input deadzone, output constraint and external disturbances, based on partial differential equations (PDEs). Firstly, a basic boundary control scheme, based on the backstepping method, is proposed to regulate the hose's vibration. A radial basis function (RBF) neural network is used to handle the effect of the input deadzone. Then we propose a new controller based on a barrier Lyapunov function to prevent constraint violation. It is shown that the states of the system are proven to converge to a small neighborhood of zero, and the output constraint is not violated in the presence of the input deadzone and external distrubances. Finally, simulation results are demonstrated for control performance verification. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Many phenomena in science and engineering are described using partial differential equations. However, for the systems modeled by PDEs, having access to the states of the system can be challenging due to technical dif...
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ISBN:
(纸本)9781509021826
Many phenomena in science and engineering are described using partial differential equations. However, for the systems modeled by PDEs, having access to the states of the system can be challenging due to technical difficulties such as lacking enough sensors in the system. In this paper the problem of estimating the parameters of fluid flow described by distributed parameter systems is considered. Two simplified versions of Navier-Stokes equations, Burgers' and advection equations, are practiced to model the fluid dynamics. Using the principles of sliding mode control theory, the distributedparameter observer is designed in order estimate the parameters of the system having only limited number of measurements available.
A natural way of introducing neutral functional differential equations is integration along the characteristics of the Riemann invariants of the hyperbolic partial differential equations. Up to now the problem has bee...
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A natural way of introducing neutral functional differential equations is integration along the characteristics of the Riemann invariants of the hyperbolic partial differential equations. Up to now the problem has been discussed by A.D. Myshkis, K.L. Cooke and their followers in the linear or quasilinear case. The conservation laws are nonlinear hyperbolic partial differential equations whose study goes back to the fifties of the previous century, being due to the pioneering papers of O.A. Oleinik and P.D. Lax. These equations describe important phenomena in Physics and Engineering, being also subject to control issues. The present paper is an attempt to extend the method of integrating along the characteristics to the systems of conservation laws. The main purpose of this attempt is to emphasize the occurring nonlinear neutral functional differential equations and to construct the augmented validation (existence, uniqueness, continuous data dependence, Stability Postulate) at least at the level of the classical solutions. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Lithium ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry are partial differential equations coupled to algebraic equations. The state of the battery, and most imp...
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Lithium ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry are partial differential equations coupled to algebraic equations. The state of the battery, and most importantly, the state of charge (SOC) needs to be estimated using limited measurements. In this paper, an extended Kalman filter (EKF) is developed using the electro-chemical model. Some simplifications to the full electro-chemical model are made to facilitate the estimation. The performance of the observer is demonstrated through comparison of simulation results with experimental data. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Lithium ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry are partial differential equations coupled to algebraic equations. The state of the battery, and most imp...
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This paper presents an observer-based dynamic feedback control design for a linear parabolic partial differential equation(PDE) system, where a finite number of actuators and sensors are active over part thereof and a...
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ISBN:
(纸本)9781538629185
This paper presents an observer-based dynamic feedback control design for a linear parabolic partial differential equation(PDE) system, where a finite number of actuators and sensors are active over part thereof and at specified points in the spatial domain, respectively. In the proposed design method, a Luenberger-type PDE observer is first constructed by using the non-collocated pointwise measurements to exponentially tract the state of the PDE system. Based on the estimated state,a collocated local piecewise state feedback controller is then proposed. By employing Lyapunov direct method, integration by parts, Wirtinger's inequality and first mean value theorem for integrals, a sufficient condition on exponential stability of the resulting closed-loop system is presented in term of standard linear matrix inequalities(LMIs). Numerical simulation results are presented to show the effectiveness of the proposed design method.
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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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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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 parameters change. To determine what happens when parameters are under a small perturbation, we present two methods: the algebraic and geometric approaches. Taking a theoretical example, we show that, even if the two methods are conceptually different, the provided results are consistent. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the ...
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The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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