• Title/Summary/Keyword: Error Matrix

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BWIM Using Measured Acceleration and Strain Data

  • Paik, In-Yeol;Lee, Seon-Dng;Shin, Soo-Bong
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.3
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    • pp.233-245
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    • 2011
  • A new BWIM(bridge weigh-in-motion) algorithm using both measured strain and acceleration data is proposed. To consider the effects of bridge vibration on the estimation of moving loads, the dynamic governing equation is applied with the known stiffness and mass properties but damping is ignored. Dynamic displacements are computed indirectly from the measured strains using the beam theory and accelerations are measured directly by accelerometers. To convert a unit moving load to its equivalent nodal force, a transformation matrix is determined. The incompleteness in the measured responses is considered in developing the algorithm. To examine the proposed BWIM algorithm, simulation studies, laboratory experiments and field tests were carried. In the simulation study, effects of measurement noise and estimation error in the vehicle speed on the results were investigated.

Optimal Selection of Master States for Order Reduction (동적시스템의 차수 줄임을 위한 주상태의 최적선택)

  • 오동호;박영진
    • Journal of KSNVE
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    • v.4 no.1
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    • pp.71-82
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    • 1994
  • We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.

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Robust Observer for Nonlinear Systems with Delayed Output (지연된 출력을 갖는 비선형 시스템의 강인 관측기)

  • Lee, Sungryul
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.253-257
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    • 2013
  • This paper proposes the robust observer design for nonlinear systems with delayed output and external disturbance. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the nonlinear error dynamics with time delay can be transformed into the linear one with time delay. Sufficient conditions for existence of a robust observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

Observer Design for Discrete-Time Nonlinear Systems with Output Delay (출력지연을 갖는 이산시간 비선형 시스템의 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.3
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    • pp.26-30
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    • 2012
  • This paper presents the observer design method for discrete-time nonlinear systems with delayed output. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the discrete-time nonlinear error dynamics with time delay can be transformed into the discrete-time linear one with time delay. Sufficient conditions for existence of state observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

A Balanced Model Reduction for Linear Parameter Varying Systems (시변 파라메터를 갖는 선형시스템의 균형화된 모델 간략화)

  • Yoo, Seog-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.5
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    • pp.351-356
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    • 2002
  • This papaer deals with a model reduction problem for linear systems with time varying parameters. For this problem, a controllability Grammian and an observability Grammian are introduced and computed by solving linear matrix inequalities. Using the controllability/observability Grammian, a balanced state space realization for linear parameter varying systems is obtained. From the balanced state space realization, a reduced model can be obtained by truncating not only states but also time varying parameters and an upper bound of the model reduction error is derived as well.

Regularized Zero-Forcing Beam Design under Time-Varying Channels

  • Yu, Heejung;Kim, Taejoon
    • ETRI Journal
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    • v.38 no.3
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    • pp.435-443
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    • 2016
  • In this paper, an efficient beam tracking algorithm for a regularized zero-forcing (RZF) approach in slowly fading multiple-input and single-output (MISO) broadcast channels is considered. By modifying an RZF equation, an RZF beam tracking algorithm is proposed using matrix perturbation theory. The proposed algorithm utilizes both beams from the previous time step and channel difference (between the previous and current time steps) to calculate the RZF beams. The tracking performance of the proposed algorithm is analyzed in terms of the mean square error (MSE) between a tracking approach and an exact recomputing approach, and in terms of the additional MSE caused by the beam tracking error at the receiver. Numerical results show that the proposed algorithm has almost the same performance as the exact recomputing approach in terms of the sum rate.

Actuator and sensor failure detection using direct approach

  • Li, Zhiling;Nagarajaiah, Satish
    • Structural Monitoring and Maintenance
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    • v.1 no.2
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    • pp.213-230
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    • 2014
  • A novel real-time actuator failure detection algorithm is developed in this paper. Actuator fails when the input to the structure is different from the commanded one. Previous research has shown that one error function can be formulated for each actuator through interaction matrix method. For output without noise, non-zero values in the actuator functions indicate the instant failure of the actuator regardless the working status of other actuators. In this paper, it is further demonstrated that the actuator's error function coefficients will be directly calculated from the healthy input of the examined actuator and all outputs. Hence, the need for structural information is no longer needed. This approach is termed as direct method. Experimental results from a NASA eight bay truss show the successful application of the direct method for isolating and identifying the real-time actuator failure. Further, it is shown that the developed method can be used for real-time sensor failure detection.

A Learning Method of PID Controller by Jacobian in Multi Variable System (다변수 시스템에서 자코비안을 이용한 PID 제어기 학습법)

  • 임윤규;정병묵
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.2
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    • pp.112-119
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    • 2003
  • Generally, PID controller is not suitable to control multi variable system because it is very difficult to tune the PID gains. However, this paper shows that it is not hard to tune the PID gains if we can find a Jacobian matrix of the system. The Jacobian matrix expresses the ratio of output variations according to input variations. It is possible to adjust the input values in order to reduce the output error using the Jacobian. When the colt function is composed of error related terms, the gradient approach can tune the PID gains to minimize the function. In simulation, a hydrofoil catamaran with two inputs and two outputs is applied as a multi variable system. We can easily get the multi variable PID controller by the proposed teaming method. When the controller is compared with LQR controller, the performance is as good as that of LQR controller with a modeling equation.

A developed hybrid method for crack identification of beams

  • Vosoughi, Ali.R.
    • Smart Structures and Systems
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    • v.16 no.3
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    • pp.401-414
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    • 2015
  • A developed hybrid method for crack identification of beams is presented. Based on the Euler-Bernouli beam theory and concepts of fracture mechanics, governing equation of the cracked beams is reformulated. Finite element (FE) method as a powerful numerical tool is used to discritize the equation in space domain. After transferring the equations from time domain to frequency domain, frequencies and mode shapes of the beam are obtained. Efficiency of the governed equation for free vibration analysis of the beams is shown by comparing the results with those available in literature and via ANSYS software. The used equation yields to move the influence of cracks from the stiffness matrix to the mass matrix. For crack identification measured data are produced by applying random error to the calculated frequencies and mode shapes. An objective function is prepared as root mean square error between measured and calculated data. To minimize the function, hybrid genetic algorithms (GAs) and particle swarm optimization (PSO) technique is introduced. Efficiency, Robustness, applicability and usefulness of the mixed optimization numerical tool in conjunction with the finite element method for identification of cracks locations and depths are shown via solving different examples.

Quantification of Angular Prediction Accuracy for Phased Array Radar Tracking (위상배열레이더 추적 각도예측의 정확도 정량화)

  • Hong, Sun-Mog
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.1
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    • pp.74-79
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    • 2012
  • Scalar quantification of the angular prediction error covariance matrix is considered for characterizing tracking performances in phased array radar tracking. Specifically, the maximum eigenvalue and the trace of the covariance matrix are examined in terms of consistency in parameterizing the probability of detection, taking antenna beam-pointing losses into account, and it is shown numerically that the latter is more consistent.