Optimal expansions of multivariable ARX processes on Laguerre bases via the Newton–Raphson method

In this article, an optimal linear MIMO system approximation by using discrete‐time MIMO autoregressive with exogenous input (ARX) model is proposed. Each polynomial function of the MIMO ARX model associated with the inputs and with the outputs is expanded on independent Laguerre orthonormal basis. The resulting model is entitled MIMO ARX–Laguerre model. The optimal approximation of which is ensured once the poles characterizing each Laguerre orthonormal basis are set to their optimal values. In this paper, a new method to estimate, from input/output measurements, the optimal Laguerre poles of the MIMO ARX–Laguerre model is proposed. The method consists in applying the Newton–Raphson's iterative technique in which the gradient and the Hessian are expressed analytically. The proposed algorithm is tested on a numerical example and on a benchmark system. Simulation results show the effectiveness of the proposed optimal modeling method. Copyright © 2015 John Wiley & Sons, Ltd.     

Unified subharmonic oscillation conditions for peak or average current mode control

This paper is an extension of the author's recent research in which only buck converters were analyzed. Similar analysis can be equally applied to other types of converters. In this paper, a unified model is proposed for buck, boost, and buck–boost converters under peak or average current mode control to predict the occurrence of subharmonic oscillation. Based on the unified model, the associated stability conditions are derived in closed forms. The same stability condition can be applied to buck, boost, and buck–boost converters. Based on the closed‐form conditions, the effects of various converter parameters including the compensator poles and zeros on the stability can be clearly seen, and these parameters can be consolidated into a few ones. High‐order compensators such as type‐II and PI compensators are considered. Some new plots are also proposed for design purpose to avoid the instability. The instability is found to be associated with large crossover frequency. A conservative stability condition, agreed with the past research, is derived. The effect of the voltage loop ripple on the instability is also analyzed. Copyright © 2014 John Wiley & Sons, Ltd.     

Poles–zeros analysis and broadband equivalent circuit for on‐chip spiral inductors

Poles and zeros of the transfer function determine the performance and the key features of the circuit network, such as phase, gain, and bandwidth. In this paper, the contribution of the poles and zeros to the transfer function has been shown. The factors η_p and η_z are proposed to account for the poles contribution to the peak and the zeros contribution to the valley of transfer function, respectively. A novel broadband equivalent circuit combining the physics‐based circuit model and behavioral macro‐model (black‐box) network is proposed for accurately characterizing on‐chip spiral inductors. The physics‐based elements are extracted using the linear dependence of a set of characteristic functions on variables (such as ω²) or other functions in a certain frequency range. The macro‐model network described by rational functions is determined using vector fitting approaches. The proposed modeling method is validated by the on‐chip spiral inductor fabricated with 0.13‐µm SiGe BiCMOS aluminum process. Excellent agreements are obtained between the measured data and calculation for the proposed model up to 40 GHz. Copyright © 2015 John Wiley & Sons, Ltd.     

Neuronal state feedback learning of Cohen–Grossberg networks

This paper proposes a direct synaptic weight training technique for a class of additive dynamic auto‐associative neural networks based on the Cohen–Grossberg neuronal activation model. The proposed technique is based on the Jurdjevic–Quinn stabilization method for control affine systems. Asymptotic stability of the training law is guaranteed and regions of attraction around each point attractor are predefined. The proposed technique requires the solution of significantly fewer non‐linear differential equations and is considerably simpler and faster than existing training techniques. Copyright © 1999 John Wiley & Sons, Ltd.     

Advanced models for transient analysis of lossy and dispersive anisotropic planar layers

A new model is proposed for the transient analysis of the electromagnetic field propagation through anisotropic lossy and dispersive layers. The propagation equations of the electromagnetic fields are solved as a Sturm–Liouville problem leading to identify its dyadic Green's function in a series rational form. Then, the corresponding poles and residues are obtained and a reduced order macromodel is generated, which can be easily embedded within existing three dimensional solvers. The model is applied to lossy and dispersive anisotropic layers with differently polarized plane–waves. Copyright © 2009 John Wiley & Sons, Ltd.     

All‐pass dispersion synthesis using microwave C‐sections

A closed‐form iterative procedure for synthesizing quasi‐arbitrary phase responses with cascaded microwave C‐section all‐pass phasers is presented. The synthesis consists in mapping the transmission poles of the cascaded C‐section structure onto the transmission poles of the specified transfer function, where the latter poles are computed using a closed‐form polynomial generation method. The real and complex transmission poles of the specified transfer function are realized using C‐sections of different lengths and different couplings coefficients. The proposved synthesis is validated by both full‐wave analysis and measured multilayer prototypes. Copyright © 2013 John Wiley & Sons, Ltd.     

A Simple Method to Determine Synchronous Machine Quantities Using Frequency Characteristics of Operational Impedances

This paper presents a simple method for determining synchronous machine quantities: d‐ and q‐axes time constants and reactances. This method determines them only by drawing additional lines in the frequency characteristics of operational impedances. A new systematic drawing strategy for determining transient/subtransient open‐circuit time constants and the d‐axis transient reactance is proposed. The frequency characteristics of operational impedances are obtained by the standstill dc test using a small dc power supply. Since the rotational test becomes unnecessary, the proposed method is suitable for tests in a factory. The validity of the proposed method was demonstrated with a numerical calculation example on a large‐capacity machine (800 MVA, 25 kV, two poles, 60 Hz) and an implementation test on a small‐capacity machine (10 kVA, 200 V, 31.9 A, four poles, 50 Hz).     

Experimental verification for stability improvement of sensorless vector control system of induction motor using real‐time tuning of observer gain

This paper proposes a method for the design of the adaptive rotor flux observer gain to improve stability at low speed and in regenerating mode. The method is based on stability analysis, which utilizes a linearized model considering all systems, including each control loop. Therefore, the proposed method considers the effects of motor constants and control circuit constants. The stability analysis using the transfer function for the rotor speed considers the arrangement of poles and zeros and the steady‐state error. The rotor flux observer gain which improves the stability for each operating condition is ascertained. This paper also proposes a real‐time tuning method for the observer gain. The validity of the proposed method was confirmed by simulation using Matlab Simulink and by experiment. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 166(1): 67–81, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20715     

High‐performance V/f control of PMSM using state feedback control based on n–t coordinate system

This paper proposes a new V/f control method for permanent magnetic synchronous motors (PMSMs) without a position sensor. The proposed method uses state feedback control based on an n–t coordinate system, and controls rotational speed and the voltage amplitude. The t‐axis is a tangent line of a constant voltage ellipse, and the n‐axis is a normal line of the ellipse. The t‐axis current is utilized to place the poles of the transfer function at the desired position at low‐speed and high‐speed conditions. The effectiveness of the proposed method was verified by simulation and experimental results.     

Sampled‐data poles,zeros, and modeling for current‐mode control

Exact and approximate sampled‐data models in closed forms are derived for switching DC–DC converters under peak/valley current‐mode control. The corresponding sampled‐data poles and zeros in closed forms are also derived. The location and stability conditions of the poles and zeros, boundary conditions of subharmonic instability, and nulling of the audio‐susceptibility are also derived. It is proved that the stable operating range of the source voltage is linearly proportional to the ramp slope. The sampled‐data models agree with previous experiment results and accurately predict the subharmonic instability. The different view from the sampled‐data model about the number and stability (minimum phase) of pole and zero does not necessarily invalidate the traditional continuous‐time averaged model. However, this different view gives better prediction about converter dynamics and is useful for the analog or digital controller design for DC–DC converters. Copyright © 2011 John Wiley & Sons, Ltd.     

Analysis and design of discrete‐time charge domain filters with complex conjugate poles

This paper proposes a discrete‐time charge domain filter that achieves complex conjugate poles in the transfer function of the filter. To achieve complex conjugate poles, local feedbacks are inserted around two successive discrete‐time integrators. The feedback path is implemented through a transconductance cell which applies a continuous time current into the integrators. Analytical models have been proposed to approximate the behavior of the filter. These models confirm that the structure is capable of realizing complex poles and thus can be used to synthesize any type of filter structures such as Butterworth, Chebysheve, etc. To show the effectiveness of the proposed architecture, Butterworth filters of order 2 and 4 operating at 50MS/s are designed and implemented in 180‐nm CMOS technology with 1.8‐V power supply. The effect of circuit nonidealities on the performance of the filter is analyzed and verified through simulations. Simulation results show that a conventional charge domain filter can be simply extended to implement complex conjugate poles while the noise and linearity performance of the filter are also improved. Copyright © 2016 John Wiley & Sons, Ltd.     

A novel broadband macro‐modeling using piecewise vector fitting

For broadband frequency domain responses of highly dynamical systems, because vector fitting always has low accuracy especially at resonant frequency response points, a new piecewise vector fitting algorithm is proposed. The complete broadband frequency range is divided into a number of sections. Vector fitting is then applied to each section to identify the poles and residues. Through frequency partitioning, the numerical conditioning of the pole and residue identification equations is improved. Then in each section a sub‐macromodel is obtained. Finally, by adding up the sub‐macromodels in each section, a novel broadband macro‐model with high accuracy is obtained for the whole broadband frequency domain. At the same time, to reduce redundant poles, in each section the number of poles is controlled by a predefined fitting error. An illustrative example involving a low‐pass filter is presented for validation of the proposed method. © 2016 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.     

Decoupling control with a limiting form of linear optimal regulator for a non‐minimum phase system

In this paper, a decoupling control for a non‐minimum phase system is considered in terms of the limiting form of linear optimal regulator problems, and an explicit relationship between the limiting properties and the decoupling control is shown. Moreover, using an appropriate performance index, this paper deals with a new method of decoupling control to exclude the effect of the fixed poles by pole‐zero cancellation. Stability and sensitivity are improved by this method. This paper also gives numerical examples to illustrate the effectiveness of decoupling control with the limiting form. © 2000 Scripta Technica, Electr Eng Jpn, 132(2): 49–57, 2000     

Development of Power Distribution Facility Map Input System Using Automatic Image Recognition Technology

In this paper, we propose a recognition technique for electric poles and wires that are drawn on a power distribution facility map. The map represents the power distribution supply facilities in Korea Electric Power Corporation (KEPCO), and the proposed technique is to be used for automatic input to the huge geographic information system (GIS) database. This technique is based on circularity and connectivity of image recognition and consists of four progress phases. Initially, we extract a power distribution facility area from the input image using a threshold value. Secondly, we perform a thinning process. At the third step, we extract candidate poles based on circularity. Finally, electric wires between two branch points are recognized based on connectivity. Candidate poles with at least one wire are confirmed to be electric poles. The proposed technique has been tested on many power distribution facility maps and the recognition success rate is over 85%. We made an auto GIS database input system based on this technique and performed field tests successfully.     

Stabilization of controlled positive discrete‐time T‐S fuzzy systems by state feedback control

This paper deals with sufficient conditions of asymptotic stability and stabilization for nonlinear discrete‐time systems represented by a Takagi–Sugeno‐type fuzzy model whose state variables take only nonnegative values at all times t for any nonnegative initial state. This class of systems is called positive systems. The conditions of stabilizability are obtained with state feedback control. This work is based on multiple Lyapunov functions. The results are presented in linear matrix inequalities form. A real plant is studied to illustrate this technique. Copyright © 2010 John Wiley & Sons, Ltd.     

Robust model order reduction technique for MIMO systems via ANN‐LMI‐based state residualization

Even though model order reduction (MOR) techniques for linear dynamical systems are developed rather properly, there are still quite a lot of issues to be considered. This paper addresses a novel MOR technique for multi‐input multi‐output system with dominant eigenvalue preservation, which leads to controller cost minimization. The new technique is formulated based on an artificial neural network (ANN) prediction of an upper triangular form of the system state matrix A. Using the new system state matrix along with the linear matrix inequality (LMI) optimization method, a permutation matrix is obtained which leads to the new formulation of the complete system considered for MOR. Utilizing the non‐projection state residualization technique, a reduced model order is obtained. The proposed ANN‐LMI‐based MOR method is compared with well‐known reduction techniques such as the balanced Schur decomposition, proper orthogonal decomposition (POD), and state elimination through balanced realization. Copyright © 2010 John Wiley & Sons, Ltd.     

Relationship between magnetic poles and characteristics of revolving permanent‐magnet type magnet wheels

The authors earlier proposed a revolving permanent‐magnet type wheel called the “magnet wheel,” which has the functions of both induction repulsive magnetic levitation and thrust. In this paper, the relationship between magnetic poles and lift force or thrust characteristics is examined to investigate the performance. Five types of magnet wheels are discussed in an experimental study and four more types are used in a theoretical study with three‐dimensional numerical analysis. The following parameters are considered: magnetomotive force (mmf) of a permanent magnet; thickness of the magnet in the magnetizing direction; total volume of magnets; fundamental factor; distortion factor of the space mmf distribution of poles; pole pitch; diameter of magnet wheel; mechanical clearance; and thickness and resistivity of conducting plate. The results show the following: 1. The lift force per unit of magnet volume is approximately proportional to the fundamental factor of the space mmf distribution of the poles. A low degree space harmonic mmf is effective in increasing lift force. 2. The driving power per unit of lift force is almost entirely independent of the configuration of the primary member, including pole arrangement and position relative to the secondary conducting plate, respectively, and depends only on the resistance of the conducting plate. 3. In both the “partial‐overlap type” and “tilt type” magnet wheels, many poles with sufficiently large pole pitch are useful. In the tilt type the use of a small tilt angle is desirable. © 1999 Scripta Technica, Electr Eng Jpn, 128(4): 111–120, 1999     

High‐efficiency,low‐torque ripple control of a permanent magnet synchronous motor based on current tracking vector of electromotive force

Since ordinary magnetic field poles of a PM (permanent magnet) motor generate higher harmonic flux, sinusoidal current will cause torque ripple. This is usually removed by short pitch winding, skew slot method, and so on. These methods have a drawback in terms of lower efficiency. Recently, new current control methods have been proposed to realize zero‐torque ripple and high‐efficiency drive at the same time. However, because the optimized reference current waveform obtained by these methods includes zero phase component, normal three‐phase full bridge inverter and d–q coordinate control method cannot be used. This paper proposes a new current control method that can achieve zero‐torque ripple and maximum efficiency by using a normal three‐phase inverter. The three‐phase optimum current can be derived by satisfying the following conditions: (1) the direction of the current resultant vector always agrees with that of the electromotive force resultant vector, and (2) the scalar product of the two vectors is held constant. By means of modifying the coordinate transformation angle, this method can also make it possible to compensate torque pulsation error with maximum efficiency using general d–q coordinate control method. The proposed method has been verified by experiments. © 2001 Scripta Technica, Electr Eng Jpn, 136(1): 57–64, 2001     

Q(λ)‐learning adaptive fuzzy logic controllers for pursuit–evasion differential games

This paper addresses the problem of tuning the input and the output parameters of a fuzzy logic controller. A novel technique that combines Q(λ)‐learning with function approximation (fuzzy inference system) is proposed. The system learns autonomously without supervision or a priori training data. The proposed technique is applied to three different pursuit–evasion differential games. The proposed technique is compared with the classical control strategy, Q(λ)‐learning only, and the technique proposed by Dai et al. (2005) in which a neural network is used as a function approximation for Q‐learning. Computer simulations show the usefulness of the proposed technique. Copyright © 2011 John Wiley & Sons, Ltd.     

A new algorithm for shot noise removal in medical ultrasound images based on alpha‐stable model

Ultrasonic images are generally affected by multiplicative shot noise. Shot noise filtering is thus a critical pre‐processing step in medical ultrasound imagery. This paper analyses and models the coefficients of 2‐D multi‐resolution wavelet decomposition of logarithmically transformed images using alpha‐stable distribution model. Consequently, we propose a new function that performs a non‐linear operation on the data of classifying the coefficients, thus achieving a novel form of noise removal based on multi‐resolution wavelet decomposition and the alpha‐stable model. We compare our new technique with current shot noise reduction methods applied on actual ultrasound medical images and simulations results show that the proposed new method is more robust than the methods based on Gaussian assumption. Copyright © 2006 John Wiley & Sons, Ltd.