• 제목/요약/키워드: Uncertainty Bound

검색결과 130건 처리시간 0.022초

신호 전송의 양과 질에서 위너의 MMSE와 샤논의 정보 이론적 정보량 극한 과 격자 코드 와의 만남 (Encounter of Lattice-type coding with Wiener's MMSE and Shannon's Information-Theoretic Capacity Limits in Quantity and Quality of Signal Transmission)

  • 박대철;이문호
    • 전자공학회논문지
    • /
    • 제50권8호
    • /
    • pp.83-93
    • /
    • 2013
  • 통계적 신호 전송에 관한 위너의 MMSE와 정보이론 관점에서 처음으로 증명한 샤논의 상호 정보량을 비교함으로서 둘 사이의 관련성을 연구하였다. 위너가 신호 전송에서 보려했던 것은 잡음이 존재하는 채널에서 복원하려는 신호의 전송 품질의 근본적 극한(limit)를 계산해내려는 것이라 해석할 수 있다. 반면, 샤논은 엔트로피 개념을 적용하여 상호 정보에 대한 불확실성의 차를 최대화로 하는 전송 정보량의 근본적 상한(upper bound)의 극한(limits)을 계산을 계산하려는 것이라 해석할 수 있다. 본 논문의 관심은 샤논의 점 대 점 채널 용량의 근본적 극한을 계산하는 샤논의 공식을 유도함에 있어 위너의 최소 평균 자승 오차(MMSE) 컴바이너에 의한 최적 위너 필터를 사용했을 때 위너의 MMSE와 샤논의 상호 정보량이 미적분관계로 연결되어 있음을 확인하는 것이며, 위너 필터의 MMSE 와 샤논의 상호 정보량이 만나는 점에서 대역 효율성의 상한과 에너지 효율성의 하한을 계산하였다. mod-${\Lambda}$ AWGN 채널 모델에 의한 적절한 성형 격자 ${\Lambda}$의 선택과 ${\alpha}$의 MMSE 추정에 의해 격자형 부호 방식이 샤논의 원래 채널 용량 극한에 미치게 됨을 확인하였다.

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

  • Wang, Chenyuan;Dong, Xiaodai;Shi, Yi
    • Journal of Communications and Networks
    • /
    • 제16권1호
    • /
    • pp.45-55
    • /
    • 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.

CAN 통신을 이용한 분산제어 시스템의 시간지연보상을 위한 $\mu$-제어기에 관한 연구 (A study on the $\mu$-controller for the compensation of the network induced delays in the distributed)

  • 안세영;임동진
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
    • /
    • pp.657-659
    • /
    • 2004
  • CAN is a serial communication bus for real-time controls and automations in distributed control systems. In distributed control systems, occasionally a sensor module and a controller are not in the same node and physically separated. In order for the signal from a sensor node to reach the controller node, the signal must travel through network. CAN has a certain capabilities to deal with real-time data. However, when many nodes on the networks try to send data on the same network, the arbitration mechanism to solve the data collision problem is necessary. This situation causes the time delay which has detrimental effects on the performance of the control systems. This paper proposes a method to solve the problem due to the time delay in distributed control system using CAN. Time delay is approximated to an element with a rational transfer function using Pade approximation and Mu~synthesis method is applied. Since time delay in the network is not constant, the time delay element is considered to be an uncertainty block with a bound. The proposed method is applied to the experimental system with CAN and proved to be effective.

  • PDF

Robust Adaptive Wavelet-Neural-Network Sliding-Mode Speed Control for a DSP-Based PMSM Drive System

  • El-Sousy, Fayez F.M.
    • Journal of Power Electronics
    • /
    • 제10권5호
    • /
    • pp.505-517
    • /
    • 2010
  • In this paper, an intelligent sliding-mode speed controller for achieving favorable decoupling control and high precision speed tracking performance of permanent-magnet synchronous motor (PMSM) drives is proposed. The intelligent controller consists of a sliding-mode controller (SMC) in the speed feed-back loop in addition to an on-line trained wavelet-neural-network controller (WNNC) connected in parallel with the SMC to construct a robust wavelet-neural-network controller (RWNNC). The RWNNC combines the merits of a SMC with the robust characteristics and a WNNC, which combines artificial neural networks for their online learning ability and wavelet decomposition for its identification ability. Theoretical analyses of both SMC and WNNC speed controllers are developed. The WNN is utilized to predict the uncertain system dynamics to relax the requirement of uncertainty bound in the design of a SMC. A computer simulation is developed to demonstrate the effectiveness of the proposed intelligent sliding mode speed controller. An experimental system is established to verify the effectiveness of the proposed control system. All of the control algorithms are implemented on a TMS320C31 DSP-based control computer. The simulated and experimental results confirm that the proposed RWNNC grants robust performance and precise response regardless of load disturbances and PMSM parameter uncertainties.

슬라이딩 모드 관측기와 제어기를 이용한 서보시스템의 정밀제어 (Precise Control for Servo Systems Using Sliding Mode Observer and Controller)

  • 한성익;공준희;신대왕;김종식
    • 한국정밀공학회지
    • /
    • 제19권7호
    • /
    • pp.154-162
    • /
    • 2002
  • The effect of nonlinear friction in the low velocity is dominant in precise controlled mechanisms and it is difficult to model. This paper is concerned with the compensation for friction using the variable structure system approach as nonmodel based method. The problem of chattering in the sliding mode controller is suppressed by the implementation of the boundary layer concept. And the estimation for friction using sliding mode observer makes the upper bound of matched uncertainty reduced. Accordingly, the effect of chattering can be more suppressed. And the sliding surface is constructed by adding an integral component to the switching function that is made by using error dynamics. This sliding surface guarantees the good tracking performance. Experimental results for a XY table system show that the proposed method has a good performance especially in the low velocity.

비정상성 Bayesian Beta 분포를 이용한 시 단위 극치자료 추정기법 개발 (An Hourly Extreme Data Estimation Method Developed Using Nonstationary Bayesian Beta Distribution)

  • 김용탁;김진영;이재철;권현한
    • 한국물환경학회지
    • /
    • 제33권3호
    • /
    • pp.256-272
    • /
    • 2017
  • Extreme rainfall has become more frequent over the Korean peninsula in recent years, causing serious damages. In a changing climate, traditional approaches based on historical records of rainfall and on the stationary assumption can be inadequate and lead to overestimate (or underestimate) the design rainfalls. A main objective of this study is to develop a stochastic disaggregation method of seasonal rainfall to hourly extreme rainfall, and offer a way to derive the nonstationary IDF curves. In this study, we propose a novel approach based on a Four-Parameter Beta (4P-beta) distribution to estimate the nonstationary IDF curves conditioned on the observed (or simulated) seasonal rainfall, which becomes the time-varying upper bound of the 4P beta distribution. Moreover, this study employed a Bayesian framework that provides a better way to take into account the uncertainty in the model parameters. The proposed model showed a comparable design rainfall to that of GEV distribution under the stationary assumption. As a nonstationary rainfall frequency model, the proposed model can effectively translate the seasonal variation into the sub-daily extreme rainfall.

선형 시변시스템을 위한 신경망 기반의 새로운 이득계획 QFT 기법 (A New Gain Scheduled QFT Method Based on Neural Networks for Linear Time-Varying System)

  • 최재원;임기홍
    • 제어로봇시스템학회논문지
    • /
    • 제6권9호
    • /
    • pp.758-767
    • /
    • 2000
  • The properties of linear time-varying(LTV) systems vary because of the time-varying property of plant parameters. The generalized controller design method for linear time-varying systems does not exit because the analytic soultion of dynamic equation has not been found yet. Hence, to design a controller for LTV systems, the robust control methods for uncertain LTI systems which are the approximation of LTV systems have been generally ised omstead. However, these methods are not sufficient to reflect the fast dynamics of the original time-varying systems such as missiles and supersonic aircraft. In general, both the performance and the robustness of the control system which is designed with these are not satisfactory. In addition, since a better model will give the more robustness to the controlled system, a gain scheduling technique based on LTI controller design methods has been uesd to solve time problem. Therefore, we propose a new gain scheduled QFT method for LTV systems based on neural networks in this paper. The gain scheduled QFT involves gain dcheduling procedured which are the first trial for QFT and are well suited consideration of the properties of the existing QFT method. The proposed method is illustrated by a numerical example.

  • PDF

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

  • 조성윤
    • 제어로봇시스템학회논문지
    • /
    • 제13권12호
    • /
    • pp.1230-1242
    • /
    • 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.

불확실한 비선형 계통에 대한 SPR 조건이 필요 없는 적응 퍼지 관측기 (Adaptive Fuzzy Observer without SPR Condition for Uncertain Nonlinear Systems)

  • 박장현;김성환
    • 전기전자학회논문지
    • /
    • 제7권2호
    • /
    • pp.156-165
    • /
    • 2003
  • 본 논문은 불확실한 비선형 계통에 대해서 강인한 적응 퍼지 관측기를 설계하는 방법을 제시한다. 새로 제시하는 관측기는 관측기 설계시 관측오차의 동특성식이 SPR (strictly positive real)이어야 한다는 조건이 불필요하다. 또한 불확실한 항에 대한 유계상수도 추정하는 알고리듬을 사용하여 강인항의 이득값을 설계자가 미리 결정할 필요가 없게 된다. 설계된 관측기를 포함한 전체 폐루프 계통에 대해서 리아프노브 안정도를 증명하였으며 관측오차를 포함한 계통의 모든 신호들의 반전역적 유계(semi-global uniform ultimate boundedness)임을 증명하였다. 이론적으로 도출된 결과를 mass-spring-damper 계통에 대한 모의실험을 수행하여 제안된 관측기의 효율성과 성능을 보였다.

  • PDF

Adaptive Bandwidth Algorithm for Optimal Signal Tracking of DGPS Reference Receivers

  • Park, Sang-Hyun;Cho, Deuk-Jae;Seo, Ki-Yeol;Suh, Sang-Hyun
    • 한국항해항만학회지
    • /
    • 제31권9호
    • /
    • pp.763-769
    • /
    • 2007
  • A narrow loop noise bandwidth method is desirable to reduce the error of raw measurements due to the thermal noise. However, it degrades the performance of GPS initial synchronization such as mean acquisition time. And it restricts the loop noise bandwidth to a fixed value determined by the lower bound of the allowable range of carrier-to-noise power ratio, so that it is difficult to optimally track GPS signal. In order to make up for the weak points of the fixed-type narrow loop noise bandwidth method and simultaneously minimize the error of code and carrier measurements, this paper proposes a stepwise-type adaptive bandwidth algorithm for DGPS reference receivers. In this paper, it is shown that the proposed adaptive bandwidth algorithm can provide more accurate measurements than those of the fixed-type narrow loop noise bandwidth method, in view of analyzing the simulation results between two signal tracking algorithms. This paper also carries out sensitivity analysis of the proposed adaptive bandwidth algorithm due to the estimation uncertainty of carrier-to-noise power ratio. Finally the analysis results are verified by the experiment using GPS simulator.