The robust stability and performance of a binary distillation column model is analysed using a minimal state space representation. The uncertainty modelling of the column is resulted in an LFT form with a four element...
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The robust stability and performance of a binary distillation column model is analysed using a minimal state space representation. The uncertainty modelling of the column is resulted in an LFT form with a four element diagonal block structure taking into account the dependence between the steady state gains. Robust analysis of the distillation column dynamics is performed and compared using µ - and l 1 -analysis tools. The magnitude of possible overshoots is determined by l 1 -test for robust performance and the dependence of this magnitude on the dominant time constant (i.e. the purity of the separation) is investigated. Futhermore the effect of the mi certainties in the time constants and the singular values on the robust performance is also analysed using l 1 -test. It has been found that the uncertainty in the time constants affects dominantly the robust performance of the open-loop system, i.e. the magnitude of possible overshoots.
Passivity based controllers are used in structural control due to their inherent robustness properties. These controllers require sensor/actuator collocation. In this paper, we consider the design of a "squaring ...
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Passivity based controllers are used in structural control due to their inherent robustness properties. These controllers require sensor/actuator collocation. In this paper, we consider the design of a "squaring down" matrix which renders a system passive by using a linear combination of all collocated and non-collocated sensor/actuator pairs. The design uses experimental transfer functions and does not require the knowledge of the system model. The problem of finding the squaring down matrix is cast as a solution to a set of linear matrix inequalities (LMIs) subject to some additional performance considerations. The design procedure of the squaring down matrix assumes that velocity information is available from the sensors which is not generally the case. We show that the squaring down matrix can be implemented without the use of such velocity information. We provide experimental results gathered from the single link flexible beam setup in the C/sub La/MS laboratory at RPI to show that implementation of passive loops without velocity measurements provides very good results.
Smart materials such as piezoceramics and shape memory alloys (SMAs) exhibit significant hysteresis and in order to estimate the effect on open and closed loop control a suitable model is needed. One promising candida...
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Smart materials such as piezoceramics and shape memory alloys (SMAs) exhibit significant hysteresis and in order to estimate the effect on open and closed loop control a suitable model is needed. One promising candidate is the Preisach independent domain hysteresis model that is characterized by the congruent minor loop and wiping out properties. Comparable minor loop and decaying oscillation test data for a multi-sheet piezoceramic actuator (made of lead zirconate titanate) attached to a flexible beam are presented and are seen to be very consistent with the two Preisach model properties. The commanded parameter is the sheet transverse electric field while the measured parameter is an approximately colocated strain induced in the beam. Equivalent data for a Nitinol SMA wire muscle, attached to the same beam, are also presented. The input and output parameters are the SMA current and a beam strain respectfully. The minor loop and wiping out evidence is less strong than that of the piezoceramic case, but encouraging. In all experiments the quasi-steady state responses were generated in order to avoid exciting beam flexible modes which would complicate the analysis.
This paper deals with simultaneous control of acceleration transmission, wheel load fluctuation, suspension deflection and sprung mass displacement. The control theory is based on the robust H/sub /spl infin// control...
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This paper deals with simultaneous control of acceleration transmission, wheel load fluctuation, suspension deflection and sprung mass displacement. The control theory is based on the robust H/sub /spl infin// control theory with the consideration of the modeling errors lumped into an unstructured uncertainty acting on the unperturbed plant. The design method is new and powerful for electronic car suspension's controlsystems, as it presents a new approach to the designers for the computation of a controller maintaining robust stability while guaranteeing the performance in a wide frequency range, even in the case of the controller is applied to the actual plant. Additionally, the paper emphasizes that the assumptions in the modeling step may lead to unrealistic control designs and, as an example, the effect of the rigidity assumption on the behavior of the open loop system is discussed.
In order to solve the speed problem and shallow reasoning problem met in current research in fault diagnosis expert system, this paper presents a model based parallel fault diagnosis expert system for energy managemen...
Recognition of small patterns covering only a few pixels in an image cannot be done by conventional recognition methods. A theoretically new pattern recognition method has been developed for undersampled objects which...
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Recognition of small patterns covering only a few pixels in an image cannot be done by conventional recognition methods. A theoretically new pattern recognition method has been developed for undersampled objects which are (much) smaller than the window-size of a picture element (pixel), i.e. these objects are of subpixel size. The proposed statistical technique compares the gray-level histogram of the patterns of a set of scanned objects to be examined with the (calculated) gray-level densities of different (in shape or size) possible objects, and the recognition is based on this comparison. This method does not need high-precision movement of scanning sensors or any additional hardware. Moreover, the examined patterns should be randomly distributed on the screen, or a random movement of camera is (or target or both are) needed. Effects of noise are analysed, and filtering processes are suggested in the histogram domain. Several examples of different object shapes (triangle, rectangle, square, circle, curving lines, etc.) are presented through simulations and experiments. A number of possible application areas are suggested, including astronomy, line-drawing analysis and industrial laser measurements.
A robust modeling method of heat exchanger networks (HENs) with structured parametric perturbations has been used in this paper which results in a model in LFT form. The LFT of the overall HEN system can be generated ...
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A robust modeling method of heat exchanger networks (HENs) with structured parametric perturbations has been used in this paper which results in a model in LFT form. The LFT of the overall HEN system can be generated algorithmically from the model of the heat exchangers and from the network topology. Based on these modeling paradigms robust stability and performance tests have been applied using L/sub /spl infin// signal norms in a non-standard way to determine an upper bound for overshoots in HENs. The proposed method has been illustrated on the simple example of a countercurrent heat exchanger with bypass.
Grey box modeling is a widely used term, which presently reflects that both a priori and experimental knowledge is being incorporated into the model building process. A brief investigation into various uses of grey bo...
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Grey box modeling is a widely used term, which presently reflects that both a priori and experimental knowledge is being incorporated into the model building process. A brief investigation into various uses of grey box modeling approaches reveals that they mainly differ with respect to the required model accuracy. The goal of the model application also has to be considered in the model building, since it constrains the necessary accuracy required by the model. In this paper these two viewpoints are combined thus leading to a proposed new definition of grey box modeling.
The parametnzation and identification of vehicle vibrating structures are discussed in this paper. The determination of physical parameters from the abstract parameters that represent free coefficients in a transfer f...
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The parametnzation and identification of vehicle vibrating structures are discussed in this paper. The determination of physical parameters from the abstract parameters that represent free coefficients in a transfer function or state space model of the vehicle is investigated for the axle subsystems. The situation when some of the coefficients are known a priori, and also there are certain dependences, possibly nonlinear, among some physical parameters is investigated. Related to this grey box problem, an identification scheme is proposed to obtain the physical parameters from the unconstrained estimates of the abstract parameters of the axle models.
The presence of colored tokens and time opens the possibility to combine high level Petri nets for describing operating procedures and constraint type qualitative models describing the model of the system over a wide ...
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The presence of colored tokens and time opens the possibility to combine high level Petri nets for describing operating procedures and constraint type qualitative models describing the model of the system over a wide operating range. Places can be associated to state variables and the color of the tokens can be related to the qualitative value of the variable. Are expressions correspond to qualitative model equations. A suitably modified version of the order of magnitude qualitative value representation form is used together with a scaling of each variable to have the same uniform qualitative range. Operations are performed on the interval arithmetic basis and only the result is transformed back to the uniform order of magnitude quantity space. This computation method ensures advantageous algebraic properties. Based on the above idea a novel verification method is proposed in this paper for testing operating procedures against a qualitative model of the system using a high level or colored Petri net representation of the procedure and the model together.
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