• Structural Engineering and Mechanics
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• 제83권5호
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• pp.593-607
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• 2022

To solve the problem of detecting structural damage, a two-stage method using the Kalman filter and Particle Swarm Optimization (PSO) is proposed. In this method, the first PSO population is enhanced using the Kalman filter method based on dynamic responses. Due to noise in the sensor responses and errors in the damage detection process, the accuracy of the damage detection process is reduced. This method proposes a novel approach for solve this problem by integrating the Kalman filter and sensitivity analysis. In the Kalman filter, an approximate damage equation is considered as the equation of state and the damage detection equation based on sensitivity analysis is considered as the observation equation. The first population of PSO are the random damage scenarios. These damage scenarios are estimated using a step of the Kalman filter. The results of this stage are then used to detect the exact location of the damage and its severity with the PSO algorithm. The efficiency of the proposed method is investigated using three numerical examples: a 31-element planer truss, a 52-element space dome, and a 56-element space truss. In these examples, damage is detected for several scenarios in two states: using the no noise responses and using the noisy responses. The results show that the precision and efficiency of the proposed method are appropriate in structural damage detection.

• 한국항공우주학회지
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• 제48권11호
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• pp.881-888
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• 2020

본 논문에서는 관측자가 얻을 수 있는 시선각(LOS) 측정값을 사용하여 관심표적의 상태변수를 추정하는 연구를 수행하였다. 관심상태변수는 표적의 위치, 속도 및 가속도로 설정하였다. 시선각 측정값은 필터에 표적운동모델 적용을 어렵게 하는 비선형성이 강한 측정값이다. 이러한 문제해결을 위해 가측정치 공식(Pseudomeasurement equation)을 사용하여 시선각 측정값 수식을 변경한 후 3D 가변선회(3D Variable Turn) 표적운동모델을 적용하였다. 또한 필터의 성능을 위해 기구학적구속조건(Kinematic Constraint)을 적용하였다. 필터는 초기조건에 강건한 특성을 가진 Bias Compensation Pseudomeasurement Filter (BCPMF)를 사용하였다. 병렬 계산의 이점을 위해 Two Stage Kalman Filter 형태를 추가적으로 적용하였다. 이 기법들을 사용하여 TBCPMF 3DVT-KC 필터를 제안하였고 시뮬레이션을 통해 성능을 확인하였다.

• Smart Structures and Systems
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• 제17권4호
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• pp.647-667
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• 2016

In this paper, dynamic displacement is estimated with high accuracy by blending high-sampling rate acceleration data with low-sampling rate displacement measurement using a two-stage Kalman estimator. In Stage 1, the two-stage Kalman estimator first approximates dynamic displacement. Then, the estimator in Stage 2 estimates a bias with high accuracy and refines the displacement estimate from Stage 1. In the previous Kalman filter based displacement techniques, the estimation accuracy can deteriorate due to (1) the discontinuities produced when the estimate is adjusted by displacement measurement and (2) slow convergence at the beginning of estimation. To resolve these drawbacks, the previous techniques adopt smoothing techniques, which involve additional future measurements in the estimation. However, the smoothing techniques require more computational time and resources and hamper real-time estimation. The proposed technique addresses the drawbacks of the previous techniques without smoothing. The performance of the proposed technique is verified under various dynamic loading, sampling rate and noise level conditions via a series of numerical simulations and experiments. Its performance is also compared with those of the existing Kalman filter based techniques.

• International Journal of Control, Automation, and Systems
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• 제6권6호
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• pp.948-953
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• 2008

In high dynamic situations, the GPS carrier tracking loop requires a wide bandwidth to track a carrier signal because the Doppler frequency changes more rapidly with time. However, a wide bandwidth allows noises within the bandwidth of the tracking loop to pass through the loop filter. As these noises are used in the numerical controlled oscillator(NCO), the carrier tracking loop of a GPS receiver shows a degraded performance in high dynamic situations. To solve this problem, an adaptive two-stage Kalman filter, which offers the NCO a less noisy phase error, can be used. This filter is based on a carrier phase dynamic model and can adapt to an incomplete dynamic model and a quickly changed Doppler frequency. The performance of the proposed tracking loop is verified by several simulations.

• Smart Structures and Systems
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• 제15권1호
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• pp.57-80
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• 2015

Extended Kalman Filter (EKF) has been widely used for structural identification and damage detection. However, conventional EKF approaches require that external excitations are measured. Also, in the conventional EKF, unknown structural parameters are included as an augmented vector in forming the extended state vector. Hence the sizes of extended state vector and state equation are quite large, which suffers from not only large computational effort but also convergence problem for the identification of a large number of unknown parameters. Moreover, such approaches are not suitable for intelligent structural damage detection due to the limited computational power and storage capacities of smart sensors. In this paper, a two-stage and two-step algorithm is proposed for the identification of structural damage as well as unknown external excitations. In stage-one, structural state vector and unknown structural parameters are recursively estimated in a two-step Kalman estimator approach. Then, the unknown external excitations are estimated sequentially by least-squares estimation in stage-two. Therefore, the number of unknown variables to be estimated in each step is reduced and the identification of structural system and unknown excitation are conducted sequentially, which simplify the identification problem and reduces computational efforts significantly. Both numerical simulation examples and lab experimental tests are used to validate the proposed algorithm for the identification of structural damage as well as unknown excitations for structural health monitoring.

• 전자공학회논문지
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• 제51권8호
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• pp.148-155
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• 2014

본 연구에서는 Xilinx의 Zynq SoC(system on chip)를 이용하여 초음파신호의 포락선을 검출하기 위한 신호처리 시스템을 설계하였다. 설계 툴로 Vivado IDE(integrated design environment)를 이용하여, 초음파 신호처리를 위한 전체 과정을 계층적 블록의 형태로 설계하였다. 제안된 시스템은 Zynq-7010의 내장 ADC, FIR(finite impulse response) 밴드패스 필터, 절대값 계산모듈, FIR 로우패스 필터 및 Kalman 필터 등으로 구성되며, 최종 단으로서 FIR 로우패스 필터를 사용하는 HW design 방식과 Kalman 필터를 사용하는 HW/SW co-design 방식에 대해 성능과 유효성을 비교하였다. 비교결과, 포락선 검출 성능에 있어서는 두 방식이 서로 유사한 특성을 갖지만, 시스템 개발에 소요되는 시간 측면에서는 HW/SW co-design 방식이 HW design 방식에 비해 훨씬 더 효율적임이 확인되었다.

• Transactions on Control, Automation and Systems Engineering
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• 제4권4호
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• pp.270-276
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• 2002

An integrated robust fault diagnosis and fault accommodation strategy for a class of linear stochastic systems subjected to unknown disturbances is presented under the assumption that only a single fault may occur at a given time. The strategy is based on the fault isolation and estimation using a bank of robust two-stage Kalman filters and introduction of the additive compensation input for cancelling out the fault's effect on the system. Each filter is set up such that the residual is decoupled from unknown disturbances and fault with the influence vector designed in the filter. Simulation results for the simplified longitudinal flight control system with parameter uncertainties, process and sensor noises demonstrate the effectiveness of the present approach.

• Smart Structures and Systems
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• 제26권6호
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• pp.693-701
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• 2020

The conventional Kalman Filter (KF) provides a promising way for structural state estimation. However, the physical parameters of structural systems or models should be available for the estimation. Moreover, it is not applicable when the loadings applied to the structures are unknown. To circumvent the aforementioned limitations, a two-stage KF with unknown input approach is proposed for the simultaneous identification of structural parameters and unknown loadings. In stage 1, a modified observation equation is employed. The structural state vector is estimated by KF on the basis of structural parameters identified at the previous time-step. Then, the unknown input is identified by Least Squares Estimation (LSE). In stage 2, based on the concept of sensitivity matrix, the structural parameters are updated at the current time-step by using the estimated structural states obtained from stage 1. The effectiveness of the proposed approach is numerically validated via a five-story shearing model under random and earthquake excitations. Shaking table tests on a five-story structure are also employed to demonstrate the performance of the proposed approach. It is demonstrated from numerical and experimental results that the proposed approach can be used for the identification of parameters of structure and the external force applied to it with acceptable accuracy.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2002년도 춘계종합학술대회
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• pp.167-170
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• 2002

본 논문에서는 다양한 기동표적에 대해 적은 연산량으로 효과적인 추적을 위한 방법에 대해 기술한다. 일반적으로 사용하는 KF는 기동하지 않는 표적의 추적에는 효과적인 반면 표적이 기동하는 경우에는 열악한 추적 성능을 발휘한다. 이에 대해 여러 운동상태를 고려한 IMM이 적합한 대안으로 고려된다. 하지만 IMM은 모델의 수가 증가할수록 연산량이 증가한다는 제한사항을 가지고 있다. 따라서 기동표적 추적에서 IMM의 제한사항을 보완하기 위해 KF를 Two-Stage로 나누어 각각 필터링을 수행하는 Optimal Two-Stage Kalman Estimator (OTSKE)를 IMM 구조에 적용하고 더 나아가 기존의 IAC 알고리즘에 적용하여 IMM과 유사한 추적성능을 발휘하면서도 연산량은 약 58% 감소시킬 수 있었다.

• 항공우주기술
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• 제3권1호
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• pp.179-187
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• 2004

본 논문에서는 여분의 관성센서 시스템의 고장 검출 및 분리를 위한 Modified SPRT 기법의 문제점을 분석하였고, Modified SPRT 기법의 문제점들을 해결한 Advanced SPRT 기법을 제안하였다. 관성센서 시스템을 대상으로 한 Modified SPRT 기법의 문제점은 패러티 벡터에 포함된 관성센서 오차 요인들과 패러티 벡터 요소들 간의 상관관계 영향에 의해 발생한다. 관성센서 오차 요인을 제거하기 위해 two-stage Kalman filter를 이용한 보상된 패러티 벡터를 제안하였고 패러티 요소들 간의 상관관계 영향을 줄이기 위해 제어된 패러티 벡터를 제안하였다. 그리고 제안된 두 패러티 벡터를 이용하여 Advanced SPRT 기법을 설계하였다. 여분의 관성센서 시스템을 대상으로 한 Advances SPRT 기법의 성능은 시뮬레이션을 통해 확인하였다.