• Title/Summary/Keyword: Uncertain parameters

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A Study on the Analysis of Stochastic Nonlinear Dynamic System (확률적 비선형 동적계의 해석에 관한 연구)

  • 남성현;김호룡
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.697-704
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    • 1995
  • The dynamic characteristics of a system can be critically influenced by system uncertainty, so the dynamic system must be analyzed stochastically in consideration of system uncertainty. This study presents the stochastic model of a nonlinear dynamic system with uncertain parameters under nonstationary stochastic inputs. And this stochastic system is analyzed by a new stochastic process closure method and moment equation method. The first moment equation is numerically evaluated by Runge-Kutta method and the second moment equation is numerically evaluated by stochastic process closure method, 4th cumulant neglect closure method and Runge-Kutta method. But the first and the second moment equations are coupled each other, so this equations are approximately evaluated by a iterative method. Finally the accuracy of the present method is verified by Monte Carlo simulation.

Robust Positive Real Control of Linear Systems with Repeated Scalar Block Parameter Uncertainty (반복된 스칼라 블록 파라미터를 포함한 불확실성을 갖는 선형 시스템의 가인 양실 제어)

  • 이보형;심덕선;이장규
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.574-578
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    • 1998
  • This paper considers the robust positive real problem for linear systems with linear fractional-type norm-bounded repeated scalar block parameter uncertainty. It is shown that the robust positive real problem can be converted into the standard positive real problem without uncertainty that can be used for the analysis of the given uncertain linear system and the synthesis of a controller that robustly stabilizes and achieves the extended strict positive realness property of the closed-loop transfer function. These results can be also applied to the linear system with general structured uncertainty containing repeated scalar block parameters and are extensions of the previous works that consider only norm-boundedness of the affine unstructured uncertainty.

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Optimal Design of Inverse Electromagnetic Problems with Uncertain Design Parameters Assisted by Reliability and Design Sensitivity Analysis

  • Ren, Ziyan;Um, Doojong;Koh, Chang-Seop
    • Journal of Magnetics
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    • v.19 no.3
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    • pp.266-272
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    • 2014
  • In this paper, we suggest reliability as a metric to evaluate the robustness of a design for the optimal design of electromagnetic devices, with respect to constraints under the uncertainties in design variables. For fast numerical efficiency, we applied the sensitivity-assisted Monte Carlo simulation (S-MCS) method to perform reliability calculation. Furthermore, we incorporated the S-MCS with single-objective and multi-objective particle swarm optimization algorithms to achieve reliability-based optimal designs, undertaking probabilistic constraint and multi-objective optimization approaches, respectively. We validated the performance of the developed optimization algorithms through application to the optimal design of a superconducting magnetic energy storage system.

A Bayesian Approach to Software Optima I Re lease Policy (소프트웨어 최적출하정책의 베이지안 접근방법)

  • 김희수;이애경
    • Proceedings of the Korean Reliability Society Conference
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    • 2002.06a
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    • pp.273-273
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    • 2002
  • In this paper, we investigate a software release policy with software reliability growth factor during the warranty period by assuming that the software reliability growth is assumed to occur after the testing phase with probability p and the software reliability growth is not assumed to occur after the testing phase with probability 1-p. The optimal release policy to minimize the expected total software cost is discussed. Numerical examples are shown to illustrate the results of the optimal policy. And we consider a Bayesian decision theoretic approach to determine an optimal software release policy. This approach enables us to update our uncertainty when determining optimal software release time, When the failure time is Weibull distribution with uncertain parameters, a bayesian approach is established. Finally, numerical examples are presented for illustrative propose.

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Development of finite element model updating program (유한요소 모델 개선 프로그램 개발)

  • Wang, S.M.;Ko, C.S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1633-1640
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    • 2000
  • The finite element analysis (FEA) is widely used in modem structural dynamics because the performance of structure can be predicted in early stage. However, due to the difficult in determination of various uncertain parameters, it is not be easy to obtain a reliable finite element model. To overcome these difficulties, updating program of FE model is developed by consisting of pretest, correlation and updating. In correlation, it calculates modal assurance criteria, cross orthogonality, mixed orthogonality and coordinate modal assurance criteria. For the model updating, the continuum sensitivity analysis and design optimization tool (DOT) are used. The SENSUP program is developed for model updating to obtain physical parameter sensitivity. The developed program is applied to practical examples such as the base plate of HDD, BLDC spindle motor, and upper housing of induction motor. And the sensor placement for the square plate is compared using several methods.

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Robust Predictive Control of Robot Manipulators with Uncertainties (불확실 로봇 매니퓰레이터의 견실 예측 제어기 설계)

  • 김정관;한명철
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.1
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    • pp.10-14
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    • 2004
  • We present a predictive control algorithm combined with the robust robot control that is constructed on the Lyapunov min-max approach. Since the control design of a real manipulator system may often be made on the basis of the imperfect knowledge about the model, it is an important trend to design a robust control law that guarantees the desired properties of the manipulator under uncertain elements. In the preceding robust control work, we need to tune several control parameters in the admissible set where the desired stability can be achieved. By introducing an optimal predictive control technique in robust control we can find out much more deterministic controller for both the stability and the performance of manipulators. A new class of robust control combined with an optimal predictive control is constructed. We apply it to a simple type of 2-link robot manipulator and show that a desired performance can be achieved through the computer simulation.

A Novel Estimation of State Voltage for the Sensorless Control of Induction Motors (속도센서 없는 유도전동기 제어를 위한 고정자 전압 추정)

  • Lim, Hong-Sun;Lee, Sang-Hoon;Ha, In-Joong;Hong, Bok-Young;Chang, Sang-Don
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.471-475
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    • 1997
  • PWM-VSI based ac-drives have high nonlinearity due to dead-time in the inverter and the voltage drop across the switching devices. In this paper, we introduced a new nonlinear model of PWM-VSl including parastic capacitor and also showed validity of the model by circuit simulations and experiments. Furthermore, we proposed an on-line identification algorithm for the uncertain model parameters.

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A study of improvement of control performance of ship by fuzzy neutral network (퍼지 신경회로망에 의한 선박의 제어성능 개선에 관한 연구)

  • Kang, Chang-Nam
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.671-672
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    • 2008
  • Hybrid intelligent technique is used in ship steering control. It can make full use of the advantage of all kinds of intelligent algorithms. This provides an efficient way for this paper. An RBF neural network and GA optimization are employed in a fuzzy neural controller to deal with the nonlinearity, time varying and uncertain factors. Utilizing the designed network to substitute the conventional fuzzy inference, the rule base and membership functions can be auto-adjusted by GA optimization. The parameters of neural network can be decreased by using union-rule configuration in the hidden layer of the network. The ship control quality is effectively improved in case of appending additional sea state disturbance. The performance of controller is evaluated by the system simulation using Matlab.

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Structural Optimization using Reliability Analysis (신뢰성 해석을 이용한 구조최적화)

  • Park, Jae-Yong;Lim, Min-Kyu;Oh, Young-Kyu;Park, Jae-Yong;Han, Seog-Young
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.2
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    • pp.224-229
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    • 2010
  • This paper presents a reliability-based topology optimization (RBTO) using bi-directional evolutionary structural optimization (BESO). An actual design involves uncertain conditions such as material property, operational load and dimensional variation. Deterministic topology optimization (DTO) is obtained without considering of uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In this paper, the reliability index approach (RIA) is adopted to evaluate the probabilistic constraint. RBTO based on BESO starting from various design domains produces a similar optimal topology each other. Numerical examples are presented to compare the DTO with the RBTO.

Iterative Learning Control for Industrial Robot Manipulators (반복 학습 알고리즘을 이용한 산업용 로봇의 제어)

  • Ha, Tae-Jun;Yeon, Je-Sung;Park, Jong-Hyeon;Son, Seung-Woo;Lee, Sang-Hun
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.745-750
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    • 2008
  • Uncertain dynamic parameters and joint flexibility have been problem to control robot manipulator precisely. Hence, even if the controller tracks the desired trajectory well with the feedback of the motor encoders, it is hard to achieve the desired behavior at the end-effector. In this paper, robot trajectory is taught by a general heuristic iterative learning control (ILC) algorithm in order to reduce tracking error of the tool center point (TCP) and the results of tracking with 6 DOF industrial robot manipulator are presented. The performance is verified based on ISO 9283.

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