This paper investigates exponential stability of time-delay distributed parameter systems in the Hilbert *** the aid of delay decomposition methods,a novel Lyapunov-Krasovskii functional in the form of linear operator...
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This paper investigates exponential stability of time-delay distributed parameter systems in the Hilbert *** the aid of delay decomposition methods,a novel Lyapunov-Krasovskii functional in the form of linear operator inequalities(LOIs) is ***,the sufficient conditions guaranteeing exponential stability of systems are obtained by the Lapunov-Krasovskii ***,our results are applied to the time-delay heat equation with the Dirichlet boundary condition.A numerical simulation to the heat equation is given to illustrate the effectiveness of the theoretical analysis.
This paper considers the optimal induced L_(2)-gain estimator design problem for infinite dimensional systems with finite dimensional outputs. It is shown that this problem is equivalent to a dual regulator design pro...
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ISBN:
(纸本)9781612848006
This paper considers the optimal induced L_(2)-gain estimator design problem for infinite dimensional systems with finite dimensional outputs. It is shown that this problem is equivalent to a dual regulator design problem. Moreover the relationship between the dual problem and a two player differential game is established. A solution to the latter problem is derived which, in turn solves the dual regulator design problem and the optimal estimator problem.
A new low-dimensional approximation strategy is proposed for a class of nonlinear distributed parameter systems (DPS) with nonlinear uncertainties. Firstly, spectral method is used to obtain spectral based model with ...
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A new low-dimensional approximation strategy is proposed for a class of nonlinear distributed parameter systems (DPS) with nonlinear uncertainties. Firstly, spectral method is used to obtain spectral based model with nominal nonlinear terms of DPS. After neglecting the nonlinear terms of the spectral based model, balanced truncation model reduction is carried out to obtain a balanced transform matrix and reduced linear terms. Lastly, a low-dimensional hybrid intelligent neural network model is used to identify spectral based model, while neural network is trained to approximate uncertain nonlinear terms. The simulation for spatio temperature evolution of catalytic rod are presented to show the effectiveness of this low dimensional approximation strategy.
In this paper, approximation of the spatio-temporal response of a hyperbolic distributedparameter system with the use of the proper orthogonal decomposition method is discussed. Based on a simulation data set, repres...
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In this paper, approximation of the spatio-temporal response of a hyperbolic distributedparameter system with the use of the proper orthogonal decomposition method is discussed. Based on a simulation data set, representing the profile of a selected process variable, the model reduction procedure is performed. The procedure consists in the projection of the original data into the subspace represented by eigenvectors of the spatial covariance matrix, corresponding to its highest eigenvalues. Influence of the approximation order on the response approximation error and on the data compression ratio is also analyzed.
The paper presents a new approach for feedforward control of inhomogeneous distributed parameter systems. Inhomogeneous means that we consider a partial differential equation (PDE) with a spatially distributed control...
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The paper presents a new approach for feedforward control of inhomogeneous distributed parameter systems. Inhomogeneous means that we consider a partial differential equation (PDE) with a spatially distributed control input. For the system we propose a transformation that homogenizes the PDE by transforming the input action on the boundary. Based on the transformation, a feedforward control approach is presented, allowing for an iterative computation of the control input from a desired output trajectory. To demonstrate the approach we apply it in detail to two examples: a continuous furnace and a counterflow heat exchanger.
This goal of this paper is to study a priori error estimates of triangular mixed. nite element methods for distributed parameter systems. The state and the co-state are discretized by the lowest order Raviart-Thomas m...
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This goal of this paper is to study a priori error estimates of triangular mixed. nite element methods for distributed parameter systems. The 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 functions. We derive a priori error estimates for the coupled state and control approximation. Finally, we present an numerical example which *** our theoretical results.
We try to stabilize steady solutions of physical models described by a class of first-order linear partial differential equations with nonlinear boundary conditions. These systems are distributed parameter systems in ...
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We try to stabilize steady solutions of physical models described by a class of first-order linear partial differential equations with nonlinear boundary conditions. These systems are distributed parameter systems in which ideal turbulence, introduced by Sharkovsky et al., occurs. In this report, using the method of characteristics, we design a control law to stabilize equilibrium solutions and synchronize a pair of the distributed parameter systems.
The control of distribute parametersystems (DPSs) is difficult because they are spatio-temporal coupling. A fuzzy control strategy is proposed to control a class of DPSs. Firstly, the class of DPS is partitioned into...
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The control of distribute parametersystems (DPSs) is difficult because they are spatio-temporal coupling. A fuzzy control strategy is proposed to control a class of DPSs. Firstly, the class of DPS is partitioned into a finite-dimensional slow one and an infinite-dimensional fast component by using time/space separation method. Secondly, the fuzzy control strategy is designed based on the finite-dimensional slow component. The fuzzy control strategy consists of finite-dimensional fuzzy PID controllers. Finally, the proposed method is used to control a rod reaction process. The simulations show the effective of the proposed control method.
NASA Technical Reports Server (Ntrs) 20040120990: a Concurrent distributed System for Aircraft Tactical Decision Generation by NASA Technical Reports Server (Ntrs); published by
NASA Technical Reports Server (Ntrs) 20040120990: a Concurrent distributed System for Aircraft Tactical Decision Generation by NASA Technical Reports Server (Ntrs); published by
NASA Technical Reports Server (Ntrs) 20110020287: an Architecture for Controlling Multiple Robots by NASA Technical Reports Server (Ntrs); published by
NASA Technical Reports Server (Ntrs) 20110020287: an Architecture for Controlling Multiple Robots by NASA Technical Reports Server (Ntrs); published by
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