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[신간의 별자리x] 우리/미술, 그리고 ‘슬픔의 박물관’

https://users.encs.concordia.ca/~ymzhang/publications/ARC32-2-98Zhang_pp.229-252.pdf

Bibliographical review on reconfigurable fault-tolerant control systems

Real and Complex Analysis

Most of the signal processing that we will study in this course involves local operations on a signal, namely transforming the signal by applying linear combinations of values in the neighborhood of each sample point. You are familiar with such operations from Calculus, namely, taking derivatives and you are also familiar with this from optics namely blurring a signal. We will be looking at sampled signals only. Let's start with a few basic examples. Local difference Suppose we have a 1D image and we take the local difference of intensities, DI(x) = 1 2 (I(x + 1) − I(x − 1)) which give a discrete approximation to a partial derivative. (We compute this for each x in the image.) What is the effect of such a transformation? One key idea is that such a derivative would be useful for marking positions where the intensity changes. Such a change is called an edge. It is important to detect edges in images because they often mark locations at which object properties change. These can include changes in illumination along a surface due to a shadow boundary, or a material (pigment) change, or a change in depth as when one object ends and another begins. The computational problem of finding intensity edges in images is called edge detection. We could look for positions at which DI(x) has a large negative or positive value. Large positive values indicate an edge that goes from low to high intensity, and large negative values indicate an edge that goes from high to low intensity. Example Suppose the image consists of a single (slightly sloped) edge:

http://ieeexplore.ieee.org/iel5/5/31307/01456462.pdf

Linear systems

This paper deals with the problem of integration of fault diagnosis and fault tolerant control modules. The main objective is to ensure a good behavior of the closed-loop system in the presence of faults and disturbances. To this aim, a global active methodology is defined in order to synthesize an additive optimal control input from fault detection and isolation results. More precisely, a robust residual is firstly generated by means of usual parity relations to detect and isolate faults on the system. Next, a fault accommodation procedure, based model following control scheme, is used to generate an additive control input according to the residual characteristics. The efficiency of this methodology is illustrated through an heating system benchmark.

/pdf/an-integrated-way-to-design-fd-ftc-modules-via-parity-space-45ymdv19bz.pdf

An Integrated Way to Design FD/FTC Modules via Parity Space and Model Following

Active queue management for alleviating Internet congestion via a nonlinear differential equation with a variable delay

New fast estimation methods stemming from control theory lead to a fresh look at time series, which bears some resemblance to "technical analysis". The results are applied to a typical object of financial engineering, namely the forecast of foreign exchange rates, via a "model-free" setting, i.e., via repeated identifications of low order linear difference equations on sliding short time windows. Several convincing computer simulations, including the prediction of the position and of the volatility with respect to the forecasted trendline, are provided. $\mathcal{Z}$-transform and differential algebra are the main mathematical tools.

Time Series Technical Analysis via New Fast Estimation Methods: A Preliminary Study in Mathematical Finance

Crystallization process is used in a very wide range of industrial applications. However, highly nonlinear comportment of such process and the difficulties of characterizing several phenomenological effects makes difficult to find suitable operational procedures for producing required products. In this article, we use a model-free control (MFC) for controlling the mean size of crystals produced by seeded batch cooling crystallization. The MFC method is distinguished notably in terms of the modeling strategy. Rather than developing a crystallization model within the classic population balance equation (PBE) together with the mass balance and the energy balance, as is usually done, we use a local approximation model. The model is continuously updated using the unique knowledge of the input-output behavior to handle both unknown dynamics and any possible disturbances. The MFC is only based on intelligent Proportional (iP) control. Simulation results prove the iP controller's efficiency even with noisy measurements, disturbances, and parameter variations.

An intelligent Proportional controller of a Seeded Batch Crystallizer

The invention relates to a method of regulating traffic on a main traffic route (2) through the control of an actuator (3) controlling access of vehicles to the main route (2) from an access route (7), in which: - at least one sensor (6) measures the density of vehicles on the main route (2), - a control device (4), linked to the sensor (6) and implementing a model‑free estimation of the behaviour of the flow of the vehicles on the main route (2), calculates a first control variable - the control device (4) determines a control variable by taking account of the first control variable; - the control device (4) despatches the control variable to the actuator (3); - the actuator (3) controls access by permitting or denying the access of the vehicles on the main route (2) as a function of the control variable, so that the traffic on the main route (2) is regulated.

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Papers

An Integrated Way to Design FD/FTC Modules via Parity Space and Model Following

Active queue management for alleviating Internet congestion via a nonlinear differential equation with a variable delay

Time Series Technical Analysis via New Fast Estimation Methods: A Preliminary Study in Mathematical Finance

An intelligent Proportional controller of a Seeded Batch Crystallizer

Method of regulating traffic on a main traffic route, system and computer program product corresponding thereto