• Title/Summary/Keyword: System Perturbation

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Smoothed Perturbation Analysis for Performance Measures in a Markov Renewal Process

  • Park, Heung-Sik
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.445-456
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    • 1996
  • In this paper, we derive unbiased estimators for the sensitivities of expected performance measures in a Markov renewal process. We restrict our derivation to the performance measures during a busy cycle and apply smoothed perturbation analysis method to find those esti-mators. The results show all the terms in the derived estimators can be obtained from a single sample path.

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On a Stability Region of Liner Time-Varying Systems (선형시변 시스템의 안정도 영역에 관하여)

  • 최종호;장태정
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.484-489
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    • 1988
  • Sufficient conditions concerning the perturbation region of system parameters, which guarantee the asymptotic stability of linear time- varying systems, are presented. These conditions are obtained by Lyapunov function approach for continuous-time and discrete-time systems. Also, a computational algorithm using nonlinear programming is proposed for finding the maximum perturbation region which satisfies the sufficient condition for the continuous-time systems. The technique of finding the solution for the continuous-time systems can also be applied to the discrete-time systems. In the continuous-time case, it is shown by an example that the method proposed in this paper yields much larger perturbation region of parameters than other previously reported results. An example of the perturbation region of system paramters for the discrete-time system is also given.

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Interval finite element method for complex eigenvalues of closed-loop systems with uncertain parameters

  • Zhang, XiaoMing;Ding, Han
    • Structural Engineering and Mechanics
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    • v.26 no.2
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    • pp.163-178
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    • 2007
  • In practical engineering, the uncertain concept plays an important role in the control problems of the vibration structures. In this paper, based on matrix perturbation theory and interval finite element method, the closed-loop vibration control system with uncertain parameters is discussed. A new method is presented to develop an algorithm to estimate the upper and lower bounds of the real parts and imaginary parts of the complex eigenvalues of vibration control systems. The results are derived in terms of physical parameters. The present method is implemented for a vibration control system of the frame structure. To show the validity and effectiveness, we compare the numerical results obtained by the present method with those obtained by the classical random perturbation.

Optimization of Queueing Network by Perturbation Analysis (퍼터베이션 분석을 이용한 대기행렬 네트워크의 최적화)

  • 권치명
    • Journal of the Korea Society for Simulation
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    • v.9 no.2
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    • pp.89-102
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    • 2000
  • In this paper, we consider an optimal allocation of constant service efforts in queueing network to maximize the system throughput. For this purpose, using the perturbation analysis, we apply a stochastic optimization algorithm to two types of queueing systems. Our simulation results indicate that the estimates obtained from a stochastic optimization algorithm for a two-tandem queuing network are very accurate, and those for closed loop manufacturing system are a little apart from the known optimal allocation. We find that as simulation time increases for obtaining a new gradient (performance measure with respect to decision variables) by perturbation algorithm, the estimates tend to be more stable. Thus, we consider that it would be more desirable to have more accurate sensitivity of performance measure by enlarging simulation time rather than more searching steps with less accurate sensitivity. We realize that more experiments on various types of systems are needed to identify such a relationship with regards to stopping rule, the size of moving step, and updating period for sensitivity.

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Layngeal Function Assessment by Electroglottographic Signal Analysis during Sustained Vowel Phonation (연속모음에서의 Electroglottograph 신호해석에 의한 후두기능 평가)

  • Song, Chul-Gyu;Lee, Myoung-Ho
    • Proceedings of the KOSOMBE Conference
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    • v.1994 no.05
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    • pp.79-81
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    • 1994
  • Petubation in the fundamental frequency and in the peak amplitude of the EGG signal derived with a four-electrode EGG system were investigated for the purpose of developing useful measures for the detection of layngeal pathology. The data were compared to the degree of amplitude perturbation and frequency perturbation. There was a close relation between amplitude perturbation and frequency perturbation analysis of EGG signal and degree of laryngeal pathology.

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Sliding Mode Control with RLSN Predictor-Based Perturbation Estimation (RLSN 예측기 기반 섭동 추정기를 갖는 슬라이딩 모드 제어)

  • Nam Yun-Joo;Lee Yuk-Hyung;Park Myeong-Kwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.8 s.251
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    • pp.880-888
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    • 2006
  • This paper presents the sliding mode control with the perturbation estimator for a nonlinear control system in the presence of perturbations including external disturbances, unpredictable parameter variations, ana unstructured dynamics. The proposed perturbation estimator is based on the Recursive Linear Smoothed Newton predictive algorithm so that it is effective to attenuate an undesired noise in high frequency band and to predict the present perturbation signal from the previous ones. Compared to conventional sliding mode control (SMC) and sliding mode control with perturbation estimation (SMCPE) introduced by Elmali and Olgac, the control algorithm proposed in this study can offer better tracking control performances and more feasible estimation characteristics. The effectiveness and superiority of the proposed control strategy are demonstrated by a series of simulations on the position tracking control of a simple two-link robot manipulator subject to velocity feedback signals including white noises.

System Condensation Technique-Based Inverse Perturbation Method of Damage Detection (시스템 축소기법이 적용된 역섭동법을 이용한 손상탐지)

  • Choi, Young-Jae;Lee, U-Sik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.7
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    • pp.98-104
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    • 2002
  • System condensation technique improves the efficiency of the inverse perturbation method of damage detection developed in the previous work. The technique is applied to transform the unmeasured DOFs to the measured DOFs. This approach makes it possible to eliminate the unmeasured DOFs, which accelerates the computational efficiency. The numerical instability problems due to the system condensation technique are also resolved by updating the transformation matrix for each step, and also by adopting the accelerated improved reduced system(AIRS) condensation method.

Robust Adaptive Control of 3D Crane Systems with Uncertainty (불확실성 요소를 갖는 3D 크레인 시스템의 강인적응제어)

  • Jeong, Sang-Chul;Kim, Dong-Won;Lee, Hyung-Ki;Cho, Hyun-Cheol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.1
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    • pp.102-108
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    • 2008
  • This paper presents robust and adaptive control method for complicated three dimensional crane systems with uncertain effect. We consider an overhead crane system in which a trolly located on its top is moved to x- and y-axis independently. We first approximate the complicated crane model through linearization approach to simply construct a PD control and then design an adaptive control system for compensating modeling error and control deviation which is feasibly occurred due to system perturbation in practice. An adaptive control scheme is analytically derived using Lyapunov stability theory for a given bound of system perturbation. We accomplish numerical simulation for evaluation of the proposed control system and demonstrate its superiority comparing with the traditional control strategy.

Robust Deterministic Control of Singularly Perturbed Uncertain Systems (특이섭동 불확실시스템의 견실확정제어)

  • 강철구
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1542-1550
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    • 1994
  • For a class of singularly perturbed uncertain system, an output feedback control law is designed. The controller structure is designed based on the uncertain reduced-order system, and the controller parameters are determined by information on the reduced-order and full-order systems. It has been shown that the reduces-order system with the designed controller possesses a stability property(specifically, a global uniform attractivity). Furthermore, the stability property of this control scheme is robust with respect to singular perturbation ; i.e., the full-order system, subject to the same controller, possesses the global uniform attractivity, provided the singular perturbation parameter $\mu<\mu^{*}$, where a threshold value $\mu^{*}$ can be computed from the information available on the full-order system.

Eigenvalue Perturbation for Controller Parameter and Small Signal Stability Analysis of Large Scale Power Systems (제어기정수에 대한 고유치 PERTURBATION과 대규모 전력계통의 미소신호안정도 해석)

  • Shim, Kwan-Shik;Song, Sung-Gun;Moon, Chae-Ju;Lee, Ki-Young;Nam, Hae-Kon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.11
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    • pp.577-584
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    • 2002
  • This paper presents a novel approach based on eigenvalue perturbation of augmented matrix(AMEP) to estimate the eigenvalue for variation of controller parameter. AMEP is a useful tool in the analysis and design of large scale power systems containing many different types of exciters, governors and stabilizers. Also, it can be used to find possible sources of instability and to determine the most sensitivity parameters for low frequency oscillation modes. This paper describes the application results of AMEP algorithm with respect to all controller parameter of KEPCO systems. Simulation results for interarea and local mode show that the proposed AMEP algorithm can be used for turning controller parameter, and verifying system data and linear model.