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IDENTIFICATION OF A STATE SPACE MODEL FOR A SYNCHRONOUS MACHINE

IFAC Proceedings Volumes 2005年第1期38卷 262-267页

作者： Bin Wu Peng Zhao Om Malik Department of Electrical and Computer Engineering University of Calgary Calgary Alberta Canada T2N 1N4

Application of a recursive subspace identification method to derive a state space model for a synchronous machine is described in this paper. Simulation studies show the effectiveness of such an algorithm to identify on-line a synchronous machine model over a wide range of operating conditions and disturbances. The model provides a foundation for further study on a MIMO adaptive power system stabilizer.

关键词： Synchronous machines State-space models recursive algorithms MIMO

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A Robust and recursive Identification Method for the Hammerstein Model

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IFAC Proceedings Volumes 1996年第1期29卷 4374-4379页

作者： M. Boutayeb H. Rafaralahy M. Darouach CRAN CNRS URA 821 University Henri Poincaré - Nancy I 186 rue de Lorraine 54400 Cosnes et Romain FRANCE. Tel : (33) - 82 - 25 - 91 - 49. Fax: (33) - 82 - 23 - 97 - 93.

In this note, a robust identification method of non linear systems using the Hammerstein model is presented. The main property of the proposed approach is that parameters of the linear and nonlinear parts are estimated in a recursive way while the global convergence is guaranted. The proposed method consists first to transform the non linear representation into an input-output model linear in parameters, after, a regular transformation based on the pseudo-inverse technique allows us to estimate in the least squares sense parameters vector of the original realization. For the case of correlated noise, to model measurement disturbances, we propose a simple technique based on the pseudo-linear regression method and we investigate all parameters dependencies to obtain a consistent solution. Sufficient conditions for global convergence are derived. Two numerical examples with different correlation structures and different Signal to Noise Ratio values are provided.

关键词： Robust estimation recursive algorithms Nonlinear models Coloured noise Convergence analysis

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Self-Tuning Control Scheme Based on the Robustness sigma-Modification Approach

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JOURNAL OF ELECTRICAL AND COMPUTER ENGINEERING 2017年第Pt.1期2017卷 13-13页

作者： Touijer, Nabiha Kamoun, Samira Essounbouli, Najib Hamzaoui, Abdelaziz Univ Sfax Natl Sch Engn Sfax Lab Sci & Techn Automat Control & Comp Engn BP 1173 Sfax 3038 Tunisia CReSTIC IUT Troyes 9 Rue QuebecBP 396 F-10026 Troyes France

This paper deals with the self-tuning control problem of linear systems described by autoregressive exogenous (ARX) mathematical models in the presence of unmodelled dynamics. An explicit scheme of control is described, which we use a recursive algorithm on the basis of the robustness. sigma-modification approach to estimate the parameters of the system, to solve the problem of regulation tracking of the system. This approach was designed with the assumptions that the norm of the vector of the parameters is wellknown. Anewquadratic criterion is proposed to develop amodified recursive least squares (M-RLS) algorithmwith. sigma-modification. The stability condition of the proposed estimation scheme is proved using the concepts of the small gain theorem. The effectiveness and reliability of the proposed M-RLS algorithm are shown by an illustrative simulation example. The effectiveness of the described explicit self-tuning control scheme is demonstrated by simulation results of the cruise control system for a vehicle.

关键词： Scheme recursive algorithms Steady state adaptive control Linear system

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Lattice models from CFT on surfaces with holes: I. Torus partition function via two lattice cells

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JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 2022年第23期55卷 235001-235001页

作者： Brehm, Enrico M. Runkel, Ingo Albert Einstein Inst Max Planck Inst Gravitat Phys Muhlenberg 1 D-14476 Potsdam Germany Univ Hamburg Fachbereich Math Bundesstr 55 D-20146 Hamburg Germany

We construct a one-parameter family of lattice models starting from a two-dimensional rational conformal field theory on a torus with a regular lattice of holes, each of which is equipped with a conformal boundary condition. The lattice model is obtained by cutting the surface into triangles with clipped-off edges using open channel factorisation. The parameter is given by the hole radius. At finite radius, high energy states are suppressed and the model is effectively finite. In the zero-radius limit, it recovers the CFT amplitude exactly. In the touching hole limit, one obtains a topological field theory. If one chooses a special conformal boundary condition which we call 'cloaking boundary condition', then for each value of the radius the fusion category of topological line defects of the CFT is contained in the lattice model. The fact that the full topological symmetry of the initial CFT is realised exactly is a key feature of our lattice models. We provide an explicit recursive procedure to evaluate the interaction vertex on arbitrary states. As an example, we study the lattice model obtained from the Ising CFT on a torus with one hole, decomposed into two lattice cells. We numerically compare the truncated lattice model to the CFT expression obtained from expanding the boundary state in terms of the hole radius and we find good agreement at intermediate values of the radius.

关键词： boundary conformal field theory lattice model torus two dimensions recursive algorithms

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Single Predictor vs Multi Predictor based Long-range Self-tuning Adaptive Control

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IFAC Proceedings Volumes 1987年第2期20卷 81-85页

作者： E. Mosca G. Zappa J.M. Lemos Dipartimento di Sistemi e Informatica Universita' di Firenze Via S. Marta 3 50139 Firenze Italy C.A.P.S. Universidade Tecnica de Lisboa Av. Rovisco Pais 1000 Lisboa Portugal

The effects of multipredictor information in adaptive control are studied, particularly from the standpoint of plant structural uncertainties and umaodelled dynamics. It is shown, through a convergence analysis based on the O.D.E. method, that a multipredictor-based self-tuning regulator, viz. the MUSMAR algorithm, if it converges, always converges to the local minima of the cost, under any structural mismatching condition and plant unmodelled dynamics. Similarities and differences with a singlepredictor based self-tuner are pointed out.

关键词： Adaptive control self-tuning controllers recursive algorithms linear optimal regulators least-squares estimation

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Control of Manipulators with some Unactuated Joints

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IFAC Proceedings Volumes 1993年第2期26卷 345-348页

作者： D.R. Meldrum G.F. Franklin P.J. Wiktor Department of Electrical Engineering Stanford University Stanford CA 94305 USA Department of Mechanical Engineering Stanford University Stanford CA 94305 USA

A mobile-based robot, a robot with an actuator failure, a manipulator with structural flexibility, and robots grasping an articulated object are systems with unactuated or "passive" joints. The dynamics and control of these robot systems is more complex than fully-actuated systems because unactuated joints may lead to uncontrollability. Based on a recursive formulation of the inverse dynamics for manipulators with some unactuated joints, control laws are developed for joint space control and task space control. Important in the task space control law for underactuated systems is the inversion of the generalized Jacobian. Spatial operator algebra techniques are used to develop computationally efficient algorithms for the inverse generalized Jacobian and the control laws.

关键词： control unactuated joints space robotics spatial operator algebra recursive algorithms

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Discretization and Continualization of MIMO Systems

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IFAC Proceedings Volumes 1993年第2期26卷 625-628页

作者： S. Bingulac H.F. Vanlandingham Kuwait University Department of Electrical and Computer Engineering POB 5969 13060 - Safat Kuwait Virginia Polytechnic Institute and State University Electrical Engineering Blacksburg VA 24061-0111 USA

New numerically robust algorithms are presented for converting linear continuous-time constant-parameter state models into equivalent discrete-time state models ( discretization ) as well as the reverse problem of determining continuous-time models to represent given discrete-time models ( continualization ). Two methods of discretizing linear uniformly sampled systems have been considered for their utility in computer-aided design. These methods are the standard zero-order hold method which assumes that inputs are held constant at their previous sample value for the duration of the sample interval, and a method which assumes that the inputs are linearly interpolated between samples.

关键词： Modeling recursive algorithms discrete time systems state-space methods computer programming computer-aided design

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Adaptive Identification for Abruptly Changing Systems

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IFAC Proceedings Volumes 1991年第3期24卷 1109-1113页

作者： K. Uosaki M. Yotsuya Department of Mathematical Sciences Faculty of Engineering Osaka University Suita Osaka 565 Japan Corporate Research Laboratories Sony Corporation Shinagawa Tokyo 131 Japan

Recently much attention has been paid to the adaptive identification for non-stationary systems with time-varying parameters. In this paper, we propose an adaptive identification method which is applicable when the model of the linear stochastic system changes abruptly from one to another in a model set. The proposed method consists of parameter estimation process of time- invariant system parameters, monitoring process for detecting system model change, and model recognition process to fully use the information concerning the model. Numerical examples illustrate that the proposed adaptive identification method works well not only for the systems changing abruptly according to semi-Markov chain but also for systems with slowly changing parameters.

关键词： System identification recursive algorithms time-varying systems adaptive systems stochastic systems recursive least squares monitoring model recognition jump parameter

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Robust Identification of Time-varying Systems Via an Auxiliary Variable

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IFAC Proceedings Volumes 1993年第2期26卷 345-348页

作者： Zheng Li Department of Electrical and Electronic Engineering University of Melbourne Parkville VIC 3052 Australia

This paper considers the problem of parameter identification for rapidly time-varying systems. where the parameters are related to a measurable auxiliary variable. The parameter variation with respect to the auxiliary variable is modelled as a polynomial and estimation is carried out by a bank of least-squares estimators each assigned to a different set of values of the auxiliary variable. This approach allows accurate tracking of rapidly varying parameters while still using long integration times to counteract noise and without the requirement for an a priori model of the time-variation.

关键词： System identification time-varying systems recursive algorithms

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Direct Adaptive Control with the Robust Least Squares Method

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IFAC Proceedings Volumes 1990年第1期23卷 455-459页

作者： V.Ž. Filipović B.D. Kovačević Faculty of Electrical Engineering University of Belgrade Belgrade Yugoslavia

An adaptive control of linear dynamic single input-single output systems des-cribed by the ARMAX model in the presence of uncertainty is considered. An adaptive control algorithm is derived using the Huber’s min-max robust estimation, based on a priori information of disturbance statistics, such as the pdf’s class to which the unknown disturbance pdf belongs. The derived algorithm differs from the least squares method by the insertion of an optimal nonlinear transformation of the prediction error within a given class, in the sense of the minimal Cramer Rao bound. Moreover, the algorithm possesses a high convergence rate at initial steps, owing to a suitable way of the recursive generation of its weighting matrix, which is adaptial to the chosen non-linearity. The stability, in the Cesaro sense, of the proposed control system and the asymptotic optimality of the adaptive regulator is established theoretically using the martingale theory. It is worthwile noting that the obtained results are valid under weaker constrains on the disturbance polynomial than in the case of convenient least squares method.

关键词： Adaptive systems robust identification recursive algorithms convergence analysis

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