In the current article, a novel approach to the shape control problem with a limited number of discrete actuators is presented. In optimizing the actuator locations, first the reference input was expanded with a repre...
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In the current article, a novel approach to the shape control problem with a limited number of discrete actuators is presented. In optimizing the actuator locations, first the reference input was expanded with a representative set of eigenfunctions. From the expansion coefficients, the dominant modes in the reference input were identified. Next the distributed parameter system was rewritten in modal coordinates and the irrelevant modes were truncated. Finally, the actuator locations were selected such that the singular values of the controllability matrix of the truncated system were maximized. The steady state actuation forces were optimized such that a cost function based on the absolute value of the steady state error is minimized. To improve the transient response, a hybrid of dynamic modal control algorithm and the optimization method is developed. Four discrete linear actuators for the one-dimensionally curved reflector and eight actuators for the two-dimensionally curved reflector are utilized. The structures are controlled and assessments for experimental implementation are made.
This paper proposes the applications of soft computing to deal with the constraints in conventional modelling techniques of the dynamic extrusion process. The proposed technique increases the efficiency in utilising t...
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This paper proposes the applications of soft computing to deal with the constraints in conventional modelling techniques of the dynamic extrusion process. The proposed technique increases the efficiency in utilising the available information during the model identification. The resultant model can be classified as a 'grey-box model' or has been termed as a 'semi-physical model' in the context. The extrusion process contains a number of parameters that are sensitive to the operating environment. Fuzzy rule-based system (FRBS) is introduced into the analytical model of extrusion by means of sub-models to approximate those operational-sensitive parameters. In drawing an optimal structure for each sub-model, a hybrid algorithm of genetic algorithm with fuzzy system ( GA-fuzzy) has been implemented. The sub-models obtained show advantages such as linguistic interpretability, simpler rule-base and less membership functions (MFs). The developed model is adaptive with its learning ability through the steepest decent error back-propagation algorithm. This ability might help to minimise the deviation of the model prediction when the operational-sensitive parameters adapt to the changing operating environment in the real situation. The model is first evaluated through simulations on the consistency of model prediction with the theoretical analysis. Then, the usefulness of adaptive sub-models during the operation is further explored in existence of prediction error. (C) 2004 Elsevier B.V. All rights reserved.
A hybrid control system describing the dynamics of a flexible robot manipulator is considered. For the distributedparameter part of this system, we construct a family of Galerkin approximations based on solutions of ...
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A hybrid control system describing the dynamics of a flexible robot manipulator is considered. For the distributedparameter part of this system, we construct a family of Galerkin approximations based on solutions of the homogeneous Timoshenko beam equation. We derive necessary and sufficient conditions for controllability of such finite dimensional system. In addition, the equilibrium of the Galerkin approximation considered is proved to be stabilizable by a state feedback law, and an explicit stabilizer is proposed.
In this paper, observer design for a towed seismic streamer cable is considered. Based on measurements at the boundaries, an uniformly exponentially stable observer is proposed. The stability analysis of the observer ...
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In this paper, observer design for a towed seismic streamer cable is considered. Based on measurements at the boundaries, an uniformly exponentially stable observer is proposed. The stability analysis of the observer is based on Lyapunov theory. The existence and uniqueness of the solutions of the observer are based on semigroup theory. To illustrate the performance of the observer, numerical simulation results are presented.
Biofilters consisting of packed bed columns are efficient devices for purification of ground- or wastewater from solid and toxic components. In this work, a biofilter for nitrification is equipped with a porous bed of...
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Biofilters consisting of packed bed columns are efficient devices for purification of ground- or wastewater from solid and toxic components. In this work, a biofilter for nitrification is equipped with a porous bed of Manganese dioxide particles, which offers the support for the formation of a biofilm and which, in addition, adsorbs ammonium. Experiments are performed to study the distributedparameter behavior of key state variables, e.g. biomass and nitrogenous components, and a dynamic model described by partial differential equations is derived. Several unknown model parameters are estimated from measurements collected in the course of these experiments. The resulting model is in good agreement with the experimental data.
Pressure swing adsorption (PSA) plants consist of several fixed-bed adsorbers and are operated as cyclic multi-step processes. PSA processes are used for the separation and purification of gas mixtures. Based on a rig...
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Pressure swing adsorption (PSA) plants consist of several fixed-bed adsorbers and are operated as cyclic multi-step processes. PSA processes are used for the separation and purification of gas mixtures. Based on a rigorous distributedparameter model of the considered 2-bed PSA plant, a process control scheme is derived which is composed of a nonlinear feedforward control and a linear feedback control. For the design of the feedforward control, a numerical approach for the inversion of the rigorous plant model is presented. The designed trajectory control scheme is evaluated by use of the PSA plant simulation model
For a special class of linear distributed parameter systems defined on a planar domain and controlled by boundary inputs, a systematic procedure is established to reformulate them as systems defined over certain inter...
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For a special class of linear distributed parameter systems defined on a planar domain and controlled by boundary inputs, a systematic procedure is established to reformulate them as systems defined over certain interpolation spaces. Based on this result, it is shown how certain spectrum shift can be achieved by using boundary state feedback control. An example is used to demonstrate the theoretical results.
A new annular-type non-isothermal adsorber is proposed, which makes it possible to separate a multi-components gas mixture continuously. For the effective operation of the adsorber, it is essential to control the temp...
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A new annular-type non-isothermal adsorber is proposed, which makes it possible to separate a multi-components gas mixture continuously. For the effective operation of the adsorber, it is essential 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 the 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. The designed servo controllers' performances are satisfactory in spite of using the reduced order LPS model. (C) 2003 Elsevier Ltd. All rights reserved.
In this paper, model reference adaptive control of a cantilevered flexible beam with Kelvin-Voigt damping and unknown spatially varying coefficients is investigated. Any mechanically flexible robots/structures are inh...
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In this paper, model reference adaptive control of a cantilevered flexible beam with Kelvin-Voigt damping and unknown spatially varying coefficients is investigated. Any mechanically flexible robots/structures are inherently distributed parameter systems whose dynamics are described by partial, rather than ordinary, differential equations. Adaptation laws are derived by the Lyapunov redesign method on an infinite dimensional Hilbert space. To show the well-posedness of a coupled nonlinear system, combined state error and parameter estimation error equations are constructed as an initial value problem of an infinite dimensional evolution equation in weak form. It is then shown through the Lyapunov redesign approach that the state error actually converges asymptotically to zero. With an additional persistence of excitation assumption, the parameter estimation errors are shown to converge to zero as well.
Recently a synthesis methodology for the infinite time optimal neurocontrollers for partial differential equations systems in the framework of adaptive-critic design has been developed. The adaptive-critic approach is...
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Recently a synthesis methodology for the infinite time optimal neurocontrollers for partial differential equations systems in the framework of adaptive-critic design has been developed. The adaptive-critic approach is applied to a thermal conduction system. The experimental setup representing a one-dimensional heat conduction problem developed by matching the experimental and simulation results using a tridiagonal-matrix algorithm is presented. The discrete domain forms of the state, the costate and the optimal control equations are derived using the distributedparameter model of the system. The synthesis is introduced of an adaptive-critic-based infinite time optimal neurocontroller for online temperature profile control. The representative states of the system for training the networks was generated using Fourier series-based smooth states profile algorithm. Finally, the action network is implemented for temperature profile control of the experimental setup.
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