This work details an IMC-based pole placement controller tuning procedure for a multi-loop SISO system in the presence of model uncertainty. For a given uncertainty level, selection of the IMC low-pass filter paramete...
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This work details an IMC-based pole placement controller tuning procedure for a multi-loop SISO system in the presence of model uncertainty. For a given uncertainty level, selection of the IMC low-pass filter parameter is done using Kalman filter poles and open-loop poles as respective lower and upper limits. Tuning is facilitated using a convex tuning parameter, which depends on both the structured singular value mu as a quantitative performance measure and closed-loop behaviour like overshoots and manipulated variable move sizes as qualitative measures. The method is applied here to a distributed parameter system using modal control, but can be generally applied for any multi-loop SISO system using a state estimator. Using simulation studies it is shown that the ambiguity encountered during selection of the IMC filter constant is significantly reduced.
This paper is concerned with the state estimation and the control of temperature distribution in an annular type packed bed adsorber. For the effective separation of multi-component gaseous mixture, it is necessary to...
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This paper is concerned with the state estimation and the control of temperature distribution in an annular type packed bed adsorber. For the effective separation of multi-component gaseous mixture, it is necessary to control the temperature distribution in the two dimensional space (axial and angular direction) of the adsorber. In this work, the controller design is based on a method reducing distributed parameter system (DPS) to lumped parametersystem (LPS) through the eigenfunction expansion. The advantage of this method is that the design of feedback controller is very simple because the reduced LPS model is completely decoupled. The results show that the whole temperature distribution in the adsorber is estimated accurately from several measurements by using the Kalman filter as an observer. And the designed servo controllers' performances are satisfactory in spite of using the reduced order LPS model.
In the paper, the decentralized sliding mode controller design problem for interconnected distributed parameter systems with time delays is discussed by M-matrix theory, Lp-estimation and Lyapunov methods. Firstly, th...
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ISBN:
(纸本)085296708X
In the paper, the decentralized sliding mode controller design problem for interconnected distributed parameter systems with time delays is discussed by M-matrix theory, Lp-estimation and Lyapunov methods. Firstly, the sliding manifold so that the sliding mode motion equation is asymptotically stable in Sobolve space W-1,W-2 is designed;Secondly, the completely decentralized sliding mode controller so that the system realized motion of the sliding modes is designed. Finally, the estimation of time T for system's solution arrived on sliding manifold is given.
Control of temperature profiles of a tubular packed-bed reactor with our proposed design method for a parabolic distributed parameter system is investigated. The oxidation reactor of carbon monoxide over a platinum-ca...
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Control of temperature profiles of a tubular packed-bed reactor with our proposed design method for a parabolic distributed parameter system is investigated. The oxidation reactor of carbon monoxide over a platinum-catalyst is used as a controlled process. The reactor dynamics are modeled by a simple parabolic partial differential equation in one-dimensional space, on the assumption that temperature distribution in the radial direction of the reactor is negligible. A state feedback controller was designed by use of a reduced order lumped parametersystem, which was obtained by applying the finite integral transform technique to the phenomenological model of the process. It is demonstrated that hot-spot temperatures can be eliminated and the axial temperature profile of the reactor fan be made to agree well with a specified target profile.
Conventional modal analyses are not applicable to structural systems with time delays because time delays destroy any possible orthogonality among system eigenvectors. A new series solution method is proposed for tran...
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Conventional modal analyses are not applicable to structural systems with time delays because time delays destroy any possible orthogonality among system eigenvectors. A new series solution method is proposed for transient response analysis of a class of delayed linear structural systems. In this method, inverse Laplace transform is combined with a root locus sensitivity analysis, leading to a relation between the transfer function residues and eigensolutions of the delayed system. With this relation, closed-form time-domain response can be accurately and efficiently estimated in series of eigenvectors, without involving transfer function singularities and s-domain integration, which are usually encountered in inverse Laplace transform. The proposed method is illustrated on a gyroscopic dynamic system under delayed feedback control.
In this paper, the state profile estimation of a novel autothermal fixed-bed reactor (called circulation loop reactor, CLR), which can be operated as an autonomous periodic system, is studied. Since in autothermal ope...
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In this paper, the state profile estimation of a novel autothermal fixed-bed reactor (called circulation loop reactor, CLR), which can be operated as an autonomous periodic system, is studied. Since in autothermal operation the reactor shows sustained large oscillations, its dynamics have to be modelled as a strongly nonlinear distributed parameter system. The generally used lumping techniques (e.g. the orthogonal collocation method) for designing the state estimator of fixed-bed reactors are not applicable in this case. An approach for estimating the state profiles of the CLR based on a nonlinear distributedparameter observer is presented. To decrease the computational effort of the observer in real-time applications, the reduction of the detailed model of the CLR is investigated. In order to achieve asymptotic stability and fast convergence of the observer, the observability of the CLR is analysed, and use of features of the sustained oscillatory system and physical insight are made. A method based on exponential weighting functions is proposed to approximate the observation error profile. The temperature and concentration profiles are estimated from a small number of temperature measurements. The obtained observer was successfully tested with the dynamic simulator DIVA in the cases of errors in the initial condition and the model parameters, random noisy measurements, and unknown disturbances, also including the different choice of sensor locations, and different observer parameters. It shows excellent dynamic tracking of the reactor profiles, strong robustness, and easy tuning. It forms a basis for developing appropriate control strategies of the CLR. (C) 1997 Elsevier Science Ltd.
In this paper, the authors discuss a reduced basis approach to the development of low-order nonlinear feedback controllers for hybrid distributed parameter systems. This approach involves the use of distributed parame...
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In this paper, the authors discuss a reduced basis approach to the development of low-order nonlinear feedback controllers for hybrid distributed parameter systems. This approach involves the use of distributedparameter control theory to design "optimal" infinite dimensional feedback control laws and approximation theory to design and compute low-order finite dimensional compensators. The resulting finite dimensional controller combines a nonlinear observer with a linear feedback law to produce a practical design. The authors concentrate on a weakly nonlinear distributed parameter system to illustrate the ideas.
State estimation of distributed-parametersystem is a prerequisite of optimal control for systems of this kind. In chemical industry, a number of reactors belong to distributed-parametersystem, among which the fixed-...
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State estimation of distributed-parametersystem is a prerequisite of optimal control for systems of this kind. In chemical industry, a number of reactors belong to distributed-parametersystem, among which the fixed-bed reactor is a typical one. Nevertheless, only very much limited state variable measurements are allowed in industrial practice. In addition, time delay of the determination is commonly inevitable. The goal of state estimation for a dynamic system is focused on a quick and accurate approach to the
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