• 제목/요약/키워드: polynomial stability

검색결과 116건 처리시간 0.025초

탄성지반위에 놓인 박벽보의 강성행렬산정을 위한 개선된 해석기법 (Improved Method Evaluating the Stiffness Matrices of Thin-walled Beam on Elastic Foundations)

  • 김남일;정성엽;이준석;김문영
    • 한국전산구조공학회논문집
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    • 제20권2호
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    • pp.113-125
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    • 2007
  • 탄성지반 위의 비대칭 개/폐단면의 박벽보에 대한 탄성해석 및 안정성해석을 수행하기 위해 엄밀한 강성행렬을 계산하기 위한 개선된 수치해석 기법을 새롭게 제시한다. 본 연구에서 제시한 수치해석기법은 박벽보의 안정성 해석을 위한 엄밀한 강성행렬을 산정하는 선행된 수치해석기법의 결점을 보완하고 있다. 본 연구에서 제시한 기법은 일반화된 고유치 문제에 관한 해를 얻는 것으로서 일반화된 14개의 변위에 대한 고유치 문제를 평형방정식에 관한 1차의 연립상미분 방정식으로 변환함으로써 얻어진다. '0'의 고유치에 대응되는 변위파라미터에 대해 다항식이 가정되며 항등조건으로부터 '0'의 고유치의 수와 동일한 미결정된 파라미터를 포함하는 고유 모우드가 결정되고 이로부터 'non-zero'의 고유치와 다항식의 해를 조합함으로써 엄밀한 변위함수가 결정된다. 이후 부재력-변위의 관계를 이용하여 엄밀한 강성행렬을 산정하게 된다. 본 연구에서 개발한 수치해석 기법의 타당성을 검증하기 위해서 본 연구에서 제시한 이론에 의한 해를 제시하고 보요소 및 쉘요소을 사용한 유한요소해와 비교 검토한다.

제어기 영점의 영향을 감소시키는 종속형 저차 제어기의 설계 (Design of Low Order Cascade Controller to Reduce the Effects of Its Zeros)

  • 김영철;김재진
    • 전기학회논문지
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    • 제57권6호
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    • pp.1048-1057
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    • 2008
  • This paper represents a design method for PID or low-order controllers cascaded with a linear plant in the unit feedback system where it is required to meet the given time response specifications such as overshoot and settling time. This problem is difficult to solve because the zeros of the controller appear in the numerator of the overall system and thus those zeros may make the time response design difficult. In this paper, we propose a new approach based on the partial model matching and the so called K-polynomial. The partial matching problem is formulated to an optimization problem in which a quadratic function of coefficient errors between a target model and the resulting closed loop system is minimized. For the sake of satisfying the closed loop stability, a set of quadratic constraints associated with the cost function is introduced. As a result, the controller designed meets both time response requirements and the closed loop stability, if any. It is shown through several examples that the present method can be easily applied to these problems.

Bi-stability in a vertically excited rectangular tank with finite liquid depth

  • Spandonidis, Christos C.;Spyrou, Kostas J.
    • Ocean Systems Engineering
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    • 제2권3호
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    • pp.229-238
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    • 2012
  • We discuss the bi - stability that is possibly exhibited by a liquid free surface in a parametrically - driven two-dimensional (2D) rectangular tank with finite liquid depth. Following the method of adaptive mode ordering, assuming two dominant modes and retaining polynomial nonlinearities up to third-order, a nonlinear finite-dimensional nonlinear modal system approximation is obtained. A "continuation method" of nonlinear dynamics is then used in order to elicit efficiently the instability boundary in parameters' space and to predict how steady surface elevation changes as the frequency and/or the amplitude of excitation are varied. Results are compared against those of the linear version of the system (that is a Mathieu-type model) and furthermore, against an intermediate model also derived with formal mode ordering, that is based on a second - order ordinary differential equation having nonlinearities due to products of elevation with elevation velocity or acceleration. The investigation verifies that, in parameters space, there must be a region, inside the quiescent region, where liquid surface instability is exhibited. There, behaviour depends on initial conditions and a wave form would be realised only if the free surface was substantially disturbed initially.

부하의 전압특성을 고려한 정량적 전압안정성 지표에 관한 연구 (A Study on the Quantatitive Voltage Stability Index Considering Load Voltage Characteristics)

  • 정준모;이봉용;김정훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 추계학술대회 논문집 학회본부
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    • pp.3-5
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    • 1994
  • It is shown that the power flow considering the voltage characteristic of the composite load has some difference comparing with conventional load flow in this paper. When the load flow is used in a study of the static voltage stability, it is necessary to consider the voltage characteristic of load, since the composite load of a typical power system bas constant power, constant current, and constant impedance characteristic. The load is modeled to a polynomial form in here, and used in solving the load flow problem. In this way, the effect which the voltage characteristic of the load has on several voltage collapse proximity indicator based on sensitivities is compared with the conventional load flow, or with another load model having a different voltage characteristic. In this paper, the voltage collapse proximity indicator using the sensitivity of real power for transmission loss is also proposed, and compared with other indicators.

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SynRM Driving CVT System Using an ARGOPNN with MPSO Control System

  • Lin, Chih-Hong;Chang, Kuo-Tsai
    • Journal of Power Electronics
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    • 제19권3호
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    • pp.771-783
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    • 2019
  • Due to nonlinear-synthetic uncertainty including the total unknown nonlinear load torque, the total parameter variation and the fixed load torque, a synchronous reluctance motor (SynRM) driving a continuously variable transmission (CVT) system causes a lot of nonlinear effects. Linear control methods make it hard to achieve good control performance. To increase the control performance and reduce the influence of nonlinear time-synthetic uncertainty, an admixed recurrent Gegenbauer orthogonal polynomials neural network (ARGOPNN) with a modified particle swarm optimization (MPSO) control system is proposed to achieve better control performance. The ARGOPNN with a MPSO control system is composed of an observer controller, a recurrent Gegenbauer orthogonal polynomial neural network (RGOPNN) controller and a remunerated controller. To insure the stability of the control system, the RGOPNN controller with an adaptive law and the remunerated controller with a reckoned law are derived according to the Lyapunov stability theorem. In addition, the two learning rates of the weights in the RGOPNN are regulating by using the MPSO algorithm to enhance convergence. Finally, three types of experimental results with comparative studies are presented to confirm the usefulness of the proposed ARGOPNN with a MPSO control system.

Use of Support Vector Regression in Stable Trajectory Generation for Walking Humanoid Robots

  • Kim, Dong-Won;Seo, Sam-Jun;De Silva, Clarence W.;Park, Gwi-Tae
    • ETRI Journal
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    • 제31권5호
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    • pp.565-575
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    • 2009
  • This paper concerns the use of support vector regression (SVR), which is based on the kernel method for learning from examples, in identification of walking robots. To handle complex dynamics in humanoid robot and realize stable walking, this paper develops and implements two types of reference natural motions for a humanoid, namely, walking trajectories on a flat floor and on an ascending slope. Next, SVR is applied to model stable walking motions by considering these actual motions. Three kinds of kernels, namely, linear, polynomial, and radial basis function (RBF), are considered, and the results from these kernels are compared and evaluated. The results show that the SVR approach works well, and SVR with the RBF kernel function provides the best performance. Plus, it can be effectively applied to model and control a practical biped walking robot.

시간응답 설계규격을 만족하는 PI, PD, PID제어기 설계 (Design of PI, PD and PID Controllers with Time Response Specifications)

  • 김근식;조태신;김영철
    • 제어로봇시스템학회논문지
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    • 제9권4호
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    • pp.259-269
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    • 2003
  • This paper considers the problem of determining a set of PI, PD and PID controller gains, for a given linear time invariant plant, that meets or exceeds the closed loop step response specifications. The proposed method utilizes two recent results: for a given system, (1) finding a set of stabilizing PI, PD and PID gains and (2) the relationship between time response (overshoot and speed) and the coefficients of the characteristic polynomial. The method allows us to extract a subset of PI, PD and PID gains that meets stability as well as time domain performance requirements. The intersections of two dimensional sets described by linear and quadratic inequalities in the controller design space are need to be Identified through numerical computation. The procedure is illustrated by examples.

Design of First Order Controllers with Time Domain Specifications(ICCAS 2003)

  • Kim, Keun-Sik;Woo, Young-Tae;Kim, Young-Chol
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1-6
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    • 2003
  • This paper considers the problem of determining a set of stabilizing first order controller gains, for a given linear time invariant plant, that meets or exceeds closed loop step response specifications. The method utilizes two recent results: For a given system, (1) finding a set of stabilizing first order controller gains and (2) the relationship between time response (overshoot and speed) and the coefficients of the characteristic polynomial. The method allows us to extract a subset of first order controller gains that meets stability as well as time domain performance requirements. The computations involved are the intersections of two dimensional sets described by linear and quadratic inequalities in the controller design space. It is illustrated by examples.

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프레딕터.코렉터방법에 의한 터널다이오드 발진회로의 해석 (Analysis of a Tunnel-Diode Oscillator Circuit by Predictor-Corrector Method)

  • 이정한;차균현
    • 대한전자공학회논문지
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    • 제10권6호
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    • pp.45-55
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    • 1973
  • 본 논문은 한개의 터널다이오드로 구성된 시간에 무관한 비선형 회로를 논한다 부저항 소자로 구성된 비선형 회로의 해를 구하기 전에 비선형 소자의 정특성을 어떤 함수로 표시할 필요가 있다. 최소 자승법에 의해서 정특성을 표현하는 근사 다항식 커브를 구했다. 비선형 회로를 해석하기 위해서는 우선 그 회로에 관한 상태방정식이 설정되면 프레딕터·코렉터 방법에 의해서 해를 구할수 있다. 최종적으로, 비선형 회로의 안정도와 발진 조건을 논하기 위해서 limit cycle을 점철했다.

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단순 비선형 모델을 이용한 자동차 충격흡수기의 동특성 모델링 기법 연구 (Dynamic Modeling of Automotive Shock Absorbers Using Simple Nonlinear Models)

  • 한형석;서정원;노규석;허승진;김기훈
    • 한국자동차공학회논문집
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    • 제11권5호
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    • pp.156-162
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    • 2003
  • The shock absorber is a part having a direct influence on the ride comfort, stability and dynamic load prediction of a vehicle. Thus, a rationally modeled shock absorber should be required in the dynamic analysis of vehicles. This thesis presents a modified model, based on Worden's hyperbolic tangent function, in order to fit experimental data on the velocity-damping force of a shock absorber. The hyperbolic tangent function correctly indicates the characteristics of a shock absorber, and has the advantage of containing physical causality. To evaluate the method, comparative evaluations of the linear model, the 5th polynomial model and Worden's model were carried out. The function presented in this paper is not only simple but also makes it possible to estimate the function coefficients easily and visually. In addition, it has the advantage of containing physical causality. Lastly, it effectively models the damping force of a shock absorber.