• Title/Summary/Keyword: Linear Parametrization

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Static output feedback pole assignment of 2-input, 2-output, 4th order systems in Grassmann space

  • Kim, Su-Woon;Song, Seong-Ho;Kang, Min-Jae;Kim, Ho-Chan
    • Journal of IKEEE
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    • v.23 no.4
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    • pp.1353-1359
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    • 2019
  • It is presented in this paper that the static output feedback (SOF) pole-assignment problem of some linear time-invariant systems can be completely resolved by parametrization in real Grassmann space. For the real Grassmannian parametrization, the so-called Plucker matrix is utilized as a linear matrix formula formulated from the SOF variable's coefficients of a characteristic polynomial constrained in Grassmann space. It is found that the exact SOF pole assignability is determined by the linear independency of columns of Plucker sub-matrix and by full-rank of that sub-matrix. It is also presented that previous diverse pole-assignment methods and various computation algorithms of the real SOF gains for 2-input, 2-output, 4th order systems are unified in a deterministic way within this real Grassmannian parametrization method.

Robust H_$\infty$ controller based on convex parametrization with application to nonlinear boiler system (볼록 계수화법에 의해 설계된 견실한 H_$\infty$제어기의 비선형 보일러 시스템에 대한 적용)

  • 황준하;최광진;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1456-1459
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    • 1997
  • In this paper, a control system using robust H.inf. controller based on convex parametrization is presented for nonlinear system with uncertainty. accounting for the time delay, noise and linearization error by frequency analysis, the suboptmal controller is designed to meet robust stability and performance for uncertainty. The desinged control system is applied to a nonlimear boiler moderl to test its performances.

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Use of numeric-to-symbolic converters for adaptation in control systems

  • Obinata, Goro;Maragishi, Yasushi;Oka, Kiyoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1393-1398
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    • 1990
  • A new control scheme is proposed in this paper which can cope with varying environment as results of load disturbances, changes of plant dynamics, and failures of components. The objective of this paper is to blend numeric-to-symbolic conversion techniques with linear conventional controllers so as to adapt to the varying environment of the system. The control scheme is based on the parametrization of stabilizing controllers, which is called Kucera/Yula parametrization. The parametrization has been extended to the class of systems which contain numeric-to-symbolic converters. It is shown how the numeric-to-symbolic converters can be blended with the linear controllers.

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Design of Adaptive Regulator for a Nonlinear Uncertain System (불확실성을 갖는 비선형 시스템의 적응 제어기 설계)

  • Jin, Ju-Wha;Yu, Kyung-Tak;Son, Young-Ik;Seo, Jin-Heo
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.2
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    • pp.153-158
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    • 1999
  • We consider single-input nonlinear systems with unknown unmodelled time-varying parameters or disturbances which are bounded. The main goal is to identify classes of uncertain systems for which the control exist and to provide constructive design procedures. Assuming that the undisturbed nominal system ( ,g) is partially state feedback linearizable, that a strict triangularity condition, a linear parametrization condition, and {{{{ { G}_{r-1 } }}}} hold for the uncertain terms, and that some condition is satisfied in the transformed partially linear system, we design an adaptive regulating dynamic control. At first, we identify classes of nonlinear uncertain systems and give a systematic procedure for the design of a robust regulation for the nonlinear systems.

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EFFICIENCY OF SPEECH FEATURES (음성 특징의 효율성)

  • 황규웅
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1995.06a
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    • pp.225-227
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    • 1995
  • This paper compared waveform, cepstrum, and spline wavelet features with nonlinear discriminant analysis. This measure shows efficiency of speech parametrization better than old linear separability criteria and can be used to measure the efficiency of each layer of certain system. Spline wavelet transform has larger gap among classes and cepstrum is clustered better than the spline wavelet feature. Both features do not have good property for classification and we will compare Gabor wavelet transform, Mel cepstrum, delta cepstrum, etc.

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Direct Model Reference Adaptive Pole Pacement Control with Exponential Weighting Properties (지수함수적 가중특성의 기준 모델 직접 적응 극배치 제어)

  • Kim, Jong-Hwan;Kwack, Jeong-Hun
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.51-54
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    • 1990
  • A parametrization for a linear system is presented to design a direct model reference adaptive pole placement controler. This parametrized model is one of the structured nonminimal models. The exponentially weighted least-squres algorithm is employed to estimate the control parameters. The direct adaptive controller has the exponential weighting properties by the proposed method of selecting the characteristic polynomials of the sensitivity function filters in connection with the reference models.

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Design Variable Parametrization in Finite Element Models for Optimal Design of Electromagnetic Devices (전기기기의 최적설계를 위한 유한요소모델의 설계변수 매개화)

  • Kim, Chang-Hyun;Kim, Chang-Wook;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 1998.07a
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    • pp.146-148
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    • 1998
  • For the shape design of electromagnetic devices using the FEM, the choice of design parameters influence to the success of the optimization process. If the design parameter distribution has a one to one corespondence with finite element model, we can encounter not only serious accuracy problem but also obtain a zigzag shape along the interface. The nodes between those design parameters can be parameterized by interpolating using one among many interpolation methods. The conventional parameterization of design parameters has a limit of application for shape, because design parameters and movable nodes are linearly intepolated. In this paper, using the B-spline curve that use to present any interfaces in computer graphics, the curvilinear parameterization between design parameters and node points is compared with the linear parameterization.

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Numerical study of wake structure behind a square cylinder at high Reynolds number

  • Lee, Sungsu
    • Wind and Structures
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    • v.1 no.2
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    • pp.127-144
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    • 1998
  • In this paper, the wake structures behind a square cylinder at the Reynolds number of 22,000 are simulated using the large eddy simulation, and the main features of the wake structure associated with unsteady vortex-shedding are investigated. The Smagorinsky model is used for parametrization of the subgrid scales. The finite element method with isoparametric linear elements is employed in the computations. Unsteady computations are performed using the explicit method with streamline upwind scheme for the advection term. The time integration incorporates a subcycling strategy. No-slip condition is enforced on the wall surface. A comparative study between two-and three-dimensional computations puts a stress on the three-dimensional effects in turbulent flow simulations. Simulated three-dimensional wake structures are compared with numerical and experimental results reported by other researchers. The results include time-averaged, phase-averaged flow fields and numerically visualized vortex-shedding pattern using streaklines. The results show that dynamics of the vortex-shedding phenomenon are numerically well reproduced using the present method of finite element implementation of large eddy simulation.

A Study on the State Estimaion of Dynamic system using Fuzzy Estimator (퍼지 추정기에의한 동적 시스템의 상태 추정에 관한 연구)

  • 문주영;박승현;이상배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.350-355
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    • 1997
  • The problem of mathematical model for an unknown system by measureing its input-output data pairs is generally referred to as state estimates. The state estimation problem is often of importance in its own right since we may want to know the value of the states. For instance, in navigation, we may take noisy positional fixes using satelite or radar navigation, and the estimator can use these measurements to provide accurate estimates of current position, hedaing, and velocity. And the state estimates can also be used for control purposes. Then it is very important to know the state of plant. In this paper, the theory of the minimization of a loss function was used to design the fuzzy system. Here, the used teory is Least Square Esimation method. This parametrization has the Linear in the parameters charcteristic that allows standard parameter estimation technique to be used to estimate the parameters of the fuzzy system. The combination of the fuzzy system and the estimation m thod then performs as a nonlinear estimator. If several fuzzy label are defined for the input variables at the antecedent part, the fuzzy system then behaves as a collection of nonlinear estimators where different regions of rules have different parameters. In simulation results, the fuzzy model controlled a difference in the structure between the actual plant and the fuzzy estimator. It is also proved that the fuzzy system is equivalent to its transformed system. therefore we was able to get the state space equation of system with the estimated paramater.

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Experimental Evaluation of Q-Parameterization Control for the Imbalance Compensation of Magnetic Bearing Syatem (Q-매개변수화 제어를 이용한 자기축수 시스템의 불평형 보상에 대한 실험적평가)

  • Lee, Jun-Ho;Kim, Hyeon-Gi;Lee, Jeong-Seok;Lee, Gi-Seo
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.278-285
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    • 1999
  • This paper utilizes the method of Q-parameterization control to design a controller which solves the problem of imbalance in magnetic bearing systems. There are two methods to solve this problem using feedback controal. The first method is to compensate for the imbalance forces by generating opposing forces on the bearing surface (imbalance compensation). The second method is to make the rotor rotate around its axis of inertia (automatic balancing);in this case no imbalance forces will be generated. In this paper we deal with only imbalance compensation. The free parameter of the Q-parameterization controller is chosen such that these goals are achieved. After the introduction of a model of the magnetic bearing system, we explain the Q-parameterization controller design of the magnetic bearing system with emphasis on the rejection of sinusoidal disturbance for imbalance compensation design. The design objectives are formulated as a linear equations in the controller free paramete Q. Finally, simulation and experimental results are presented and showed the robustness and effectiveness of the proposed controllers.

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