A method is developed for the calculation of sensitivity coefficients of general distributed parameter systems to the variation of spatially and temporally varying parameters appearing in the system equations and init...
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A method is developed for the calculation of sensitivity coefficients of general distributed parameter systems to the variation of spatially and temporally varying parameters appearing in the system equations and initial and boundary conditions.
The control of dist,ributed parameter (DP) systems represents a real challenge, both from a theoretical and a practical point of view, to the systems engineer. *** parametersystems arise in various application areas,...
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The control of dist,ributed parameter (DP) systems represents a real challenge, both from a theoretical and a practical point of view, to the systems engineer. *** parametersystems arise in various application areas, such as chemical proms systems, aerospace systems, magneto-hydrodynamic systems, and communicat. ions systems, to *** just a few. Thus, there is sufficient motivation for research directed t,oward the analysis, ***, and design techniques for DP systems. On *** surface, it. may appear that *** available theory for distributed parameter systems is almost at the same level as that associated with lumped systems. However, there exists a much wider gap between the theory and its applications. In the remainder of this correspondence, we shall briefly discus the reasons for this gap and suggest, certain tentative approaches which may contribute to the development of a theory and computat,ional algorithms which take into account. some of the practical problems associated with the design of controllers for DP systems. In order to make these concepts clear it. becomes necessary to briefly review, in an informal manner, what a DP system is and in what sense it differs, from both a mat,*** and a practical point of view, from a conventional lumped system.
Perturbation analysis is used to identify unknown but constant parameters in a linear distributedparameter system. Noisy observations are assumed to be available at a finite number of spatial locations. A numerical e...
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Perturbation analysis is used to identify unknown but constant parameters in a linear distributedparameter system. Noisy observations are assumed to be available at a finite number of spatial locations. A numerical example is solved to illustrate the proposed method.
The problem of designing an optimum distributedparameter system is considered. The canonical equations which are the necessary conditions for optimality are derived by applying the calculus of variation. For systems ...
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The problem of designing an optimum distributedparameter system is considered. The canonical equations which are the necessary conditions for optimality are derived by applying the calculus of variation. For systems with a quadratic performance index and with its dynamics described by the diffusion, wave, or biharmonic equation, a method for solving the canonical equations is discussed.
In this paper, the pole assignment problem is considered for a class of distributed parameter systems with unbounded input element and with multiple spectral structure. A formula on the spectrum of the closed loop ope...
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In this paper, the pole assignment problem is considered for a class of distributed parameter systems with unbounded input element and with multiple spectral structure. A formula on the spectrum of the closed loop operator is proved and a formula of pole assignment is obtained. Finally, an example concerning a beam vibration is given.
A sufficient condition for the invertibility of multivariable distributed parameter systems described by partial differential equations of parabolic type is presented. For invertible systems, distributed inverse syste...
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A sufficient condition for the invertibility of multivariable distributed parameter systems described by partial differential equations of parabolic type is presented. For invertible systems, distributed inverse systems are constructed. An example is worked out.
Stability of a distributedparameter system which is described by nonlinear parabolic equations with constant coefficients is studied by using Lyapunov's method. Sufficient conditions for the asymptotic stability ...
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Stability of a distributedparameter system which is described by nonlinear parabolic equations with constant coefficients is studied by using Lyapunov's method. Sufficient conditions for the asymptotic stability of the null solution are reduced to the conditions related to the system matrices and the positive definite condition of a certain matrix in the frequency domain.
We address the problem of tracking and stabilization of dissipative distributed parameter systems, by designing static output feedback controllers using adaptive proper orthogonal decomposition methodology (APOD). Ini...
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We address the problem of tracking and stabilization of dissipative distributed parameter systems, by designing static output feedback controllers using adaptive proper orthogonal decomposition methodology (APOD). Initially, an ensemble of eigenfunctions is constructed based on a relatively small data ensemble which is then recursively updated as additional process data becomes available periodically. The proposed APOD methodology relaxes the need for a representative ensemble of snapshots (in the sense that it contains the global dynamics of the process). An accurate reduced-order model (ROM) is constructed and periodically refined based on these updated eigenfunctions. Using the ROM and continuous measurements available from the restricted number of sensors, a static output feedback controller is subsequently designed. This controller is successfully used to achieve the desired control objective of stabilization and tracking in the Kuramoto-Sivashinksy and FitzHugh-Nagumo equations.
The adaptive output feedback control problem of chemical distributed parameter systems is investigated while the process parameters are unknown. Such systems can be usually modeled by semi linear partial differential ...
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The adaptive output feedback control problem of chemical distributed parameter systems is investigated while the process parameters are unknown. Such systems can be usually modeled by semi linear partial differential equations (PDEs). A combination of Galerkin's method and proper orthogonal decomposition is applied to generate a reduced order model which captures the dominant dynamic behavior of the system and can be used as the basis for Lyapunov-based adaptive controller design. The proposed control method is illustrated on thermal dynamics regulation in a tubular chemical reactor where the temperature spatiotemporal dynamic behavior is modeled in the form of a semi-linear PDE. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. Ail rights reserved.
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