• 제목/요약/키워드: Robustness bound

검색결과 51건 처리시간 0.026초

QFT(Quantitative Feedback Theory)를 이용한 불안정한 시스템의 안정화를 위한 강인 제어기 설계 (A Design of the Robust Controller for Stabilization of the Unstable System Using QFT(Quantitative Feedback Theory))

  • 강민구;변기식
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.57-64
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    • 2001
  • 본 논문은 시스템의 불확실성과 외란의 불확실성에도 불구하고 원하는 시스템 성능을 만족할 수 있는 강인한 제어기 설계에 대하여 서술한다. QFT(Quantitative Feedback Theory)에 근거한 강인한 제어기 설계과정은 시스템 파라미터 변동과 설계사양을 고려하여 결정되는 템플레이트, 한계조건 그리고 루프형성을 거친다. 설계된 제어기의 성능을 입증하기 위해 파라미터 변동에 매우 민감하고, 비선형성이 강하며 불안정한 특성을 지닌 도립진자시스템에 대하여 적용한다. 설계된 제어기에 대한 시뮬레이션과 실험결과들은 파라메파 변동과 외란에 강인한 제어성능을 보인다.

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Robust Relay Design for Two-Way Multi-Antenna Relay Systems with Imperfect CSI

  • Wang, Chenyuan;Dong, Xiaodai;Shi, Yi
    • Journal of Communications and Networks
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    • 제16권1호
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    • pp.45-55
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    • 2014
  • The paper investigates the problem of designing the multiple-antenna relay in a two-way relay network by taking into account the imperfect channel state information (CSI). The objective is to design the multiple-antenna relay based upon the CSI estimates, where the estimation errors are included to attain the robust design under the worst-case philosophy. In particular, the worst-case transmit power at the multiple-antenna relay is minimized while guaranteeing the worst-case quality of service requirements that the received signal-to-noise ratio (SNR) at both sources are above a prescribed threshold value. Since the worst-case received SNR expression is too complex for subsequent derivation and processing, its lower bound is explored instead by minimizing the numerator and maximizing the denominator of the worst-case SNR. The aforementioned problem is mathematically formulated and shown to be nonconvex. This motivates the pursuit of semidefinite relaxation coupled with a randomization technique to obtain computationally efficient high-quality approximate solutions. This paper has shown that the original optimization problem can be reformulated and then relaxed to a convex problem that can be solved by utilizing suitable randomization loop. Numerical results compare the proposed multiple-antenna relay with the existing nonrobust method, and therefore validate its robustness against the channel uncertainty. Finally, the feasibility of the proposed design and the associated influencing factors are discussed by means of extensive Monte Carlo simulations.

원료채집기의 제어: 모델링, 계수추정, 견실한 스미스 예측기의 설계 (Reclaimer Control: Modeling , Parameter Estimation, and a Robust Smith Predictor Design)

  • 김성훈;홍금식;강동헌
    • 제어로봇시스템학회논문지
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    • 제5권8호
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    • pp.923-931
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    • 1999
  • In this paper, a modeling and a robust time-delay control for the reclaimer are investigated. Supplying the same amount of a raw material throughout the reclamation process from the raw yard to a sinter plant is important to keep the quality of the molten steel uniform in blast furnaces. As the actual parameter values of the reclaimer are not available, the boom rotational dynamics are modeled as a second order differential equation with unknown coefficients. The unknown parameters in the nominal model are estimated using a recursive estimation method. Another important factor in the control design of the reclaimer is the large time-delay in output measurement. Assuming a multiplicative uncertainty, that accounts for both the unstructured uncertainty neglected in the modeling and the structured uncertainty contained in the parameter estimation, a robust Smith predictor is designed. A robust stability criterion for the multiplicative uncertainty is also derived. Following the work of Goodwin et al. [4], a quantifying procedure of the multiplicative uncertainty bound, through experiments , is described. Experimental and simulation results are provided.

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Quasi-LQG/$H_{infty}$/LTR Control for a Nonlinear Servo System with Coulomb Friction and Dead-zone

  • Han, Seong-Ik
    • International Journal of Precision Engineering and Manufacturing
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    • 제1권2호
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    • pp.24-34
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    • 2000
  • In this paper we propose a controller design method, called Quasi-LQG/$H_{\infty}$/LTR for nonlinear servo systems with hard nonlinearities such as Coulomb friction, dead-zone. Introducing the RIDF method to model Coulomb friction and dead-zone, the statistically linearized system is built. Then, we consider $H_{\infty}$ performance constraint for the optimization of statistically linearized systems, by replacing a covariance Lyapunov equation into a modified Riccati equation of which solution leads to an upper bound of the LQG performance. As a result, the nonlinear correction term is included in coupled Riccati equation, which is generally very difficult to thave a numerical solution. To solve this problem, we use the modified loop shaping technique and show some analytic proofs on LTR condition. Finally, the Quasi-LQG/$H_{\infty}$/LTR controller for a nonlinear system is synthesized by inverse random input describing function techniques (ITIDF). It is shown that the proposed design method has a better performance robustness to the hard nonlinearity than LQG/$H_{\infty}$/LTR method via simulations and experiments for the timing-belt driving servo system that contains the Coulomb friction and dead-zone.

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Well-Conditioned 관측기 설계 - A Linear Matrix Inequality Approach - (Design of the Well-Conditioned Observer - A Linear Matrix Inequality Approach -)

  • 정종철;허건수
    • 대한기계학회논문집A
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    • 제28권5호
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    • pp.503-510
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    • 2004
  • In this paper, the well-conditioned observer for a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic uncertainties such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic uncertainties such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_{2}$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic uncertainties. In stochastic viewpoints, the estimation variance represents the robustness to the stochastic uncertainties and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

IIR(SPKF)/FIR(MRHKF 필터) 융합 필터 및 성능 분석 (IIR(SPKF)/FIR(MRHKF Filter) Fusion Filter and Its Performance Analysis)

  • 조성윤
    • 제어로봇시스템학회논문지
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    • 제13권12호
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    • pp.1230-1242
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    • 2007
  • This paper describes an IIR/FIR fusion filter for a nonlinear system, and analyzes the stability of the fusion filter. The fusion filter is applied to INS/GPS integrated system, and the performance is verified by simulation and experiment. In the fusion filter, an IIR-type filter (SPKF) and FIR-type filter (MRHKF filter) are processed independently, then the two filters are merged using the mixing probability calculated using the residuals and residual covariance information of the two filters. The merits of the SPKF and the MRHKF filter are embossed and the demerits of the filters are diminished via the filter fusion. Consequently, the proposed fusion filter has robustness against to model uncertainty, temporary disturbing noise, large initial estimation error, etc. The stability of the fusion filter is verified by showing the closeness of the states of the two sub filters in the mixing/redistribution process and the upper bound of the error covariance matrices. This fusion filter is applied into INS/GPS integrated system, and important factors for filter processing are presented. The performance of the INS/GPS integrated system designed using the fusion filter is verified by simulation under various error environments and is confirmed by experiment.

크레인 공간에 기반한 강인한 전달정렬 기법 (Robust Transfer Alignment Method based on Krein Space)

  • 최성혜;박기영;김형민;양철관
    • 한국항행학회논문지
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    • 제25권6호
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    • pp.543-549
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    • 2021
  • 본 논문에서는 불확실성의 크기가 유한한 파라미터를 갖는 스트랩다운 관성항법시스템에 대한 강인한 전달정렬 기법을 제안하였다. 크레인 공간을 이용하면 에너지가 유한한 불확실성을 갖는 강인한 필터는 일반적인 칼만필터와 동일한 구조를 갖게 된다. 단지 측정 행렬과 측정 잡음의 공분산값을 수정하면 된다. 본 논문에서 제안한 강인한 전달정렬 기법의 성능을 분석하기 위해서 항체가 고기동 운항을 하면서 측정치에 시간 지연이 발생하는 경우를 가정하여 시뮬레이션을 수행하였고 제안한 기법의 강인성을 검증하였다.

천연고무로 결합된 과산화수소 정량 바이오센서의 전류법 속도론 (Amperometric Kinetics of Hydrogen Peroxide Biosensor Bound with Natural Rubber)

  • 유근배;윤길중
    • 공업화학
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    • 제21권6호
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    • pp.689-693
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    • 2010
  • 톨루엔에 녹인 천연고무를 탄소가루의 결합재로 사용하여 바이오센서를 제작하였을 때, 반죽은 용매가 증발한 후 기계적 물성을 보였다. 이 특성은 탄소반죽전극 실용화의 선행 조건을 만족시키는 것으로, 이 특성의 활용성을 살펴보기 위하여 과산화수소 정량을 위한 바이오센서를 제작하고, 그것의 전기화학적인 정량 및 정성적 특성을 파악하기 위하여 여러 가지 속도론적 파라메타, 즉 대칭인자(0.37), 교환전류밀도($i_0$, $0.075mAcm^{-2}$), 이중층의 축전용량($C_d$, $9.7{\times}10^{-3}F$), 시간상수(${\tau}_A$, 0.92 s), 최대전류($i_{max}$, $5.92{\times}10^{-7}Acm^{-2}$), Michaelis 상수($K_M$, $1.99{\times}10^{-3}M$) 및 기타 상수들을 도출하였다. 이 실험적 결과는 천연고무가 탄소가루의 결합재로 활용될 수 있음을 보여 주었다.

A numerical application of Bayesian optimization to the condition assessment of bridge hangers

  • X.W. Ye;Y. Ding;P.H. Ni
    • Smart Structures and Systems
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    • 제31권1호
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    • pp.57-68
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    • 2023
  • Bridge hangers, such as those in suspension and cable-stayed bridges, suffer from cumulative fatigue damage caused by dynamic loads (e.g., cyclic traffic and wind loads) in their service condition. Thus, the identification of damage to hangers is important in preserving the service life of the bridge structure. This study develops a new method for condition assessment of bridge hangers. The tension force of the bridge and the damages in the element level can be identified using the Bayesian optimization method. To improve the number of observed data, the additional mass method is combined the Bayesian optimization method. Numerical studies are presented to verify the accuracy and efficiency of the proposed method. The influence of different acquisition functions, which include expected improvement (EI), probability-of-improvement (PI), lower confidence bound (LCB), and expected improvement per second (EIPC), on the identification of damage to the bridge hanger is studied. Results show that the errors identified by the EI acquisition function are smaller than those identified by the other acquisition functions. The identification of the damage to the bridge hanger with various types of boundary conditions and different levels of measurement noise are also studied. Results show that both the severity of the damage and the tension force can be identified via the proposed method, thereby verifying the robustness of the proposed method. Compared to the genetic algorithm (GA), particle swarm optimization (PSO), and nonlinear least-square method (NLS), the Bayesian optimization (BO) performs best in identifying the structural damage and tension force.

금연법 강화가 흡연에 미치는 영향 (The Impacts of Smoking Bans on Smoking in Korea)

  • 김범수;김아람
    • KDI Journal of Economic Policy
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    • 제31권2호
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    • pp.127-153
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    • 2009
  • 국내외적으로 간접흡연이나 환경 속 담배연기가 미칠 수 있는 해악에 대한 관심이 고조되고 있으며, 그 결과 작업공간 내 금연정책이 점차 늘어나고 있다. 한국에서도 작업공간 내 금연정책이 2003년 국민건강증진법 개정으로 훨씬 강화되었다. 본 논문에서는 2001년과 2005년에 이루어진 국민건강영양조사를 이용하여 강화된 금연정책이 흡연율과 일평균 흡연 개비 수에 미친 영향을 분석하고자 한다. 금연법강화가 실내 작업공간 위주로 이루어진 점에 착안하여 법 개정의 영향을 많이 받은 실내근무자 직업군과 영향을 비교적 덜 받는 실외근무자 직업군을 비교하였다. 추정 결과, 금연법 강화로 95% 수준에서 유의하게 흡연율은 4.1%p 감소하였고, 흡연자 중 일평균 흡연 개비는 2.5개비 줄어든 것으로 나타났다.

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