This paper provides the necessary system-theoretic conditions for the establishment of the well-posedness and convergence of filters of parabolic PDEs in 2D rectangular domains. Motivated by computational savings cons...
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ISBN:
(纸本)9783907144008
This paper provides the necessary system-theoretic conditions for the establishment of the well-posedness and convergence of filters of parabolic PDEs in 2D rectangular domains. Motivated by computational savings considerations, both a Domain Decomposition and a hybrid Domain Decomposition (DD) filters for such PDEs are presented. By decomposing the spatial domain into an inner subdomain that includes the sensing device(s) and an outer subdomain that does not include any sensor(s), the resulting state estimators can employ different numerical grids to compute the associated filter gains. The ultimate goal is to have variable spatial resolution of the filters that is dependent on the sensor location. Different from multi-grid methods, the proposed DD filters provide additional flexibility on the numerical implementation of the proposed filters and the eventual code parallelization.
Flatness-based feed-forward control of solenoid actuators is considered. For precise motion planning and accurate steering of conventional solenoids, eddy currents cannot be neglected. The system of ordinary different...
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Flatness-based feed-forward control of solenoid actuators is considered. For precise motion planning and accurate steering of conventional solenoids, eddy currents cannot be neglected. The system of ordinary differential equations including eddy currents, that describes the nonlinear dynamics of such actuators, is not differentially flat. Thus, a distributedparameter approach based on a diffusion equation is considered, that enables the parametrization of the eddy current by the armature position and its time derivatives. In order to design the feedforward control, the distributedparameter model of the eddy current subsystem is combined with a typical nonlinear lumped parameter model for the electrical and mechanical subsystems of the solenoid. The control design and its application are illustrated by numerical and practical results for an industrial solenoid actuator.
This work addresses a problem of model-order reduction for a wide class of Partial Differential Equations (PDE). Starting from the popular continuity equation, describing a general conservation law in space, a typical...
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ISBN:
(纸本)9783907144008
This work addresses a problem of model-order reduction for a wide class of Partial Differential Equations (PDE). Starting from the popular continuity equation, describing a general conservation law in space, a typical advection-diffusion-reaction equation is illustrated and then turned into a finite-dimensional system by means of reasonable approximations of the processes involved. The reduced-order model takes the form of a Linear Time-Varying (LTV) system, inheriting qualitative and quantitative properties of the original infinite-dimensional model. Convergence properties are discussed and illustrated, also highlighting connections with known results on multi-agent systems. Preliminary numerical simulations show the effectiveness of the proposed approach.
Extremal problems for integral time lag parabolic systems are presented. An optimal boundary control problem for distributed parabolic systems in which integral time lags appear in the state equations and in the bound...
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Extremal problems for integral time lag parabolic systems are presented. An optimal boundary control problem for distributed parabolic systems in which integral time lags appear in the state equations and in the boundary conditions simultaneously is solved. Such equations constitute in a linear approximation a universal mathematical model for many diffusion processes. The time horizon is fixed. Making use of the Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.
This paper considers the actuator detection and estimation problem for a class of linear first-order hyperbolic partial integral differential equation (PIDE) systems. Based on the fault detectability analysis, a Luenb...
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ISBN:
(纸本)9781538679012;9781538679265
This paper considers the actuator detection and estimation problem for a class of linear first-order hyperbolic partial integral differential equation (PIDE) systems. Based on the fault detectability analysis, a Luenberger-type observer is employed to achieve fault detection. However, in the case of actuator fault occurrence, modified Luenberger-type observers are developed such that actuator fault estimation is achieved in the presence of actuator fault while the system state estimation is realized. In comparison to the existing filter-based methods for distributed parameter systems, in proposed method in this manuscript, it is not necessary to transform the plant into the observer canonical form. The advantage of the proposed method is its flexible extension to other linear distributed parameter systems including all Riesz-spectral systems, as well as higher order nonspectral hyperbolic PDE systems. In particular, the proposed method is applicable to stable or unstable plants since the corresponding observation error systems are always stable, and therefore faults as well as plant state can be adequately estimated. Finally, an illustrative example is present to verify theoretical results.
Some distributed parameter systems with irrational transfer function can be written into an infinite factorized quotient for dynamic analysis and control design purposes. Hence, high accuracy approximate time solution...
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ISBN:
(纸本)9781538672235
Some distributed parameter systems with irrational transfer function can be written into an infinite factorized quotient for dynamic analysis and control design purposes. Hence, high accuracy approximate time solutions and frequency uncertainty bounds can be computed exactly, enabling early lumping in robust controller design. In this paper the focus is on finding a block factorization for a thermal unstable solid propellant rocket model, and design a near optimal robust finite dimensional controller.
A mechanical system consisting of a rigid body and attached Kirchhoff plates under the action of three independent controls torques is considered. The equations of motion of such model are derived in the form of a sys...
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A mechanical system consisting of a rigid body and attached Kirchhoff plates under the action of three independent controls torques is considered. The equations of motion of such model are derived in the form of a system of coupled nonlinear ordinary and partial differential equations. The operator form of this system is represented as an abstract differential equation in a Hilbert space. A feedback control law is constructed such that the corresponding infinitesimal generator is dissipative. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
The paper provides a computationally efficient scheme tier the spatial repositioning of mobile sensors used in the real-time estimation of spatially distributed processes. Instead of considering the computationally ex...
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ISBN:
(纸本)9781538654286
The paper provides a computationally efficient scheme tier the spatial repositioning of mobile sensors used in the real-time estimation of spatially distributed processes. Instead of considering the computationally expensive option of propagating the covariance operator forward in time with the guidance propagated backward in time, the proposed closed loop guidance scheme repositions the mobile sensors according to the positive direction of the spatial gradient of the resulting state estimation error. The proposed coupled state estimation and sensor guidance is applied to advection-diffusion PDEs in one and two spatial dimensions and compared to the case of a Kalman filter with fixed-in-space sensors.
Sliding mode control (SMC) is applied to soil irrigation. The control objective is to regulate the water content in the soil. The movement of water in the soil is modeled by the Richards equation, which is a parabolic...
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