• Title/Summary/Keyword: Nonlinear least square Algorithm

Search Result 95, Processing Time 0.023 seconds

Study on Satellite Vibration Control using Adaptive Control Scheme

  • Oh, Se-Boung;Oh, Choong-Seok;Bang, Hyo-Choong
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.6 no.2
    • /
    • pp.1-16
    • /
    • 2005
  • Adaptive control methods are studied for the Satellite to isolate vibration in spite of the nonlinear system dynamics and parameter uncertainties of disturbance. First, a centralized control scheme is developed based on the particle swarm optimization(PSO) algorithm and feedback theory to automatically tune controller gains. A simulation study of a 3 degree-of-freedom device was conducted to evaluate the performance of the proposed control scheme. Next, since a centralized control scheme is hard to construct model dynamics and not goad at performance when controller and systems environment are easily changed, a decentralized control scheme is presented to avoid these defects of the centralized control scheme from the point of view of production and maintenance. It is based on the adaptive control methodologies to find PID controller parameters. Experiment studies were conducted to apply the adaptive control scheme and evaluate the performance of the proposed control scheme with those of the conventional control schemes.

Development of a Fatigue Damage Model of Wideband Process using an Artificial Neural Network (인공 신경망을 이용한 광대역 과정의 피로 손상 모델 개발)

  • Kim, Hosoung;Ahn, In-Gyu;Kim, Yooil
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.52 no.1
    • /
    • pp.88-95
    • /
    • 2015
  • For the frequency-domain spectral fatigue analysis, the probability density function of stress range needs to be estimated based on the stress spectrum only, which is a frequency domain representation of the response. The probability distribution of the stress range of the narrow-band spectrum is known to follow the Rayleigh distribution, however the PDF of wide-band spectrum is difficult to define with clarity due to the complicated fluctuation pattern of spectrum. In this paper, efforts have been made to figure out the links between the probability density function of stress range to the structural response of wide-band Gaussian random process. An artificial neural network scheme, known as one of the most powerful system identification methods, was used to identify the multivariate functional relationship between the idealized wide-band spectrums and resulting probability density functions. To achieve this, the spectrums were idealized as a superposition of two triangles with arbitrary location, height and width, targeting to comprise wide-band spectrum, and the probability density functions were represented by the linear combination of equally spaced Gaussian basis functions. To train the network under supervision, varieties of different wide-band spectrums were assumed and the converged probability density function of the stress range was derived using the rainflow counting method and all these data sets were fed into the three layer perceptron model. This nonlinear least square problem was solved using Levenberg-Marquardt algorithm with regularization term included. It was proven that the network trained using the given data set could reproduce the probability density function of arbitrary wide-band spectrum of two triangles with great success.

Implementation of Adaptive Hierarchical Fair Com pet ion-based Genetic Algorithms and Its Application to Nonlinear System Modeling (적응형 계층적 공정 경쟁 기반 병렬유전자 알고리즘의 구현 및 비선형 시스템 모델링으로의 적용)

  • Choi, Jeoung-Nae;Oh, Sung-Kwun;Kim, Hyun-Ki
    • Proceedings of the KIEE Conference
    • /
    • 2006.10c
    • /
    • pp.120-122
    • /
    • 2006
  • The paper concerns the hybrid optimization of fuzzy inference systems that is based on Hierarchical Fair Competition-based Parallel Genetic Algorithms (HFCGA) and information data granulation. The granulation is realized with the aid of the Hard C-means clustering and HFCGA is a kind of multi-populations of Parallel Genetic Algorithms (PGA), and it is used for structure optimization and parameter identification of fuzzy model. It concerns the fuzzy model-related parameters such as the number of input variables to be used, a collection of specific subset of input variables, the number of membership functions, the order of polynomial, and the apexes of the membership function. In the hybrid optimization process, two general optimization mechanisms are explored. Thestructural optimization is realized via HFCGA and HCM method whereas in case of the parametric optimization we proceed with a standard least square method as well as HFCGA method as well. A comparative analysis demonstrates that the proposed algorithm is superior to the conventional methods.

  • PDF

Fuzzy Polynomial Neural Network Algorithm using GMDH Mehtod and its Application to the Wastewater Treatment Process (GMDH 방법에 의한 FPNN 일고리즘과 폐스처리공정에의 응용)

  • Oh, Sung-Kwon;Hwang, Hyung-Soo;Ahn, Tae-Chon
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.7 no.2
    • /
    • pp.96-105
    • /
    • 1997
  • In this paper, A new design method of fuzzy modeling is presented for the model identification of nonlinear complex systems. The proposed FPNN(Fuzzy Polynomial Neural Network) modeling implements system structure and parameter identification using GMDH(Group Method of Data Handling) method and linguistic fuzzy implication rules from input and output data of processes. In order to identify premise structure and parameter of fuzzy implication rules, GMDH method and regression polynomial fuzzy reasoning method are used and the least square method is utilized for the identification of optimum consequence parameters. Time series data for gas furnace and those for wastewater treatment process are used for the purpose of evaluating the performance of the proposed FPNN modeling. The results show that the proposed method can produce the fuzzy model with higher accuracy than other works achieved previously.

  • PDF

Kalman Filter-based Navigation Algorithm for Multi-Radio Integrated Navigation System

  • Son, Jae Hoon;Oh, Sang Heon;Hwang, Dong-Hwan
    • Journal of Positioning, Navigation, and Timing
    • /
    • v.9 no.2
    • /
    • pp.99-115
    • /
    • 2020
  • Since GNSS is easily affected by jamming and/or spoofing, alternative navigation systems can be operated as backup system to prepare for outage of GNSS. Alternative navigation systems are being researched over the world, and a multi-radio integrated navigation system using alternative navigation systems such as KNSS, eLoran, Loran-C, DME, VOR has been researched in Korea. Least Square or Kalman filter can be used to estimate navigation parameters in the navigation system. A large number of measurements of the Kalman filter may lead to heavy computational load. The decentralized Kalman filter and the federated Kalman filter were proposed to handle this problem. In this paper, the decentralized Kalman filter and the federated Kalman filter are designed for the multi-radio integrated navigation system and the performance evaluation result are presented. The decentralized Kalman filter and the federated Kalman filter consists of local filters and a master filter. The navigation parameter is estimated by local filters and master filter compensates navigation parameter from the local filters. Characteristics of three Kalman filters for a linear system and nonlinear system are investigated, and the performance evaluation results of the three Kalman filters for multi-radio integrated navigation system are compared.

A T-S Fuzzy Identification of Interior Permanent Magnet Synchronous (매입형 영구자석 동기전동기의 T-S 퍼지 모델링)

  • Wang, Fa-Guang;Kim, Min-Chan;Kim, Hyun-Woo;Park, Seung-Kyu;Yoon, Tae-Sung;Kwak, Gun-Pyoung
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.28 no.4
    • /
    • pp.391-397
    • /
    • 2011
  • Control of interior permanent magnet (IPMSM) is difficult because its nonlinearity and parameter uncertainty. In this paper, a fuzzy c-regression models clustering algorithm which is based on T-S fuzzy is used to model IPMSM with a series linear model and weight them by memberships. Lagrangian of constrained function is built for calculating clustering centers where training output data are considered. Based on these clustering centers, least square method is applied for T-S fuzzy linear model parameters. As a result, IPMSM can be modeled as T-S fuzzy model for T-S fuzzy control of them.

Characteristics of noise cancellation for MCG signals using wavelet packets (웨이브렛 패킷을 이용한 심자도 신호의 잡음 제거 특성)

  • 박희준;김용주;정주영;원철호;김인선;조진호
    • Progress in Superconductivity
    • /
    • v.4 no.1
    • /
    • pp.53-58
    • /
    • 2002
  • Noise from electronic instrumentation is invariably present in biomedical signals, although the art of instrumentation design is such that this noise source may be negligible. And sometimes signals of interest are contaminated or degraded by signals of similar type from another source. Biomedical signals are omni-presently contaminated by these background noises that span nearly all frequency bandwidths. In the magneto-cardiogram (MCG), several digital filters have been designed for the elimination of the power-line interference, broadband white noise, surrounding magnetic noise, and baseline wondering. In addition to the introduced FIR filter, notch, adaptive filter using the least mean square (LMS) algorithm, and recurrent neural network (RNN) filter, a new filtering method for effective noise canceling in MCG signals is proposed in this paper, which is realized by the wavelet packets. The experimental results show that the proposed filter using wavelet packet performs efficiently with respect to noise rejection. To verify this, two characteristics were analyzed and compared with LMS adaptive filter, SNR of filtered signal and attractor pattern using the nonlinear dynamics.

  • PDF

OD trip matrix estimation from urban link traffic counts (comparison with GA and SAB algorithm) (링크관측교통량을 이용한 도시부 OD 통행행렬 추정 (GA와 SAB 알고리즘의 비교를 중심으로))

  • 백승걸;김현명;임용택;임강원
    • Journal of Korean Society of Transportation
    • /
    • v.18 no.6
    • /
    • pp.89-99
    • /
    • 2000
  • To cope with the limits of conventional O-D trip matrix collecting methods, several approaches have been developed. One of them is bilevel Programming method Proposed by Yang(1995), which uses Sensitivity Analysis Based(SAB) algorithm to solve Generalized Least Square(GLS) problem. However, the SAB a1gorithm has revealed two critical short-comings. The first is that when there exists a significant difference between target O-D matrix and true O-D matrix, SAB algorithm may not produce correct solution. This stems from the heavy dependance on the historical O-D information, in special when gravel Patterns are dramatically changed. The second is the assumption of iterative linear approximation to original Problem. Because of the approximation, SAB algorithm has difficulty in converging to Perfect Stackelberg game condition. So as to avoid the Problems. we need a more robust and stable solution method. The main purpose of this Paper is to show the problem of the dependency of Previous models and to Propose an alternative solution method to handle it. The Problem of O-D matrix estimation is intrinsically nonlinear and nonconvex. thus it has multiple solutions. Therefore it is necessary to require a method for searching globa1 solution. In this paper, we develop a solution algorithm combined with genetic algorithm(GA) , which is widely used as probabilistic global searching method To compare the efficiency of the algorithm, SAB algorithm suggested by Yang et al. (1992,1995) is used. From the results of numerical example, the Proposed algorithm is superior to SAB algorithm irrespective of travel patterns.

  • PDF

Modeling and Digital Predistortion Design of RF Power Amplifier Using Extended Memory Polynomial (확장된 메모리 다항식 모델을 이용한 전력 증폭기 모델링 및 디지털 사전 왜곡기 설계)

  • Lee, Young-Sup;Ku, Hyun-Chul;Kim, Jeong-Hwi;Ryoo, Kyoo-Tae
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.19 no.11
    • /
    • pp.1254-1264
    • /
    • 2008
  • This paper suggests an extended memory polynomial model that improves accuracy in modeling memory effects of RF power amplifiers(PAs), and verifies effectiveness of the suggested method. The extended memory polynomial model includes cross-terms that are products of input terms that have different delay values to improve the limited accuracy of basic memory polynomial model that includes the diagonal terms of Volterra kernels. The complexity of the memoryless model, memory polynomial model, and the suggested model are compared. The extended memory polynomial model is represented with a matrix equation, and the Volterra kernels are extracted using least square method. In addition, the structure of digital predistorter and digital signal processing(DSP) algorithm based on the suggested model and indirect learning method are proposed to implement a digital predistortion linearization. To verify the suggested model, the predicted output of the model is compared with the measured output for a 10W GaN HEMT RF PA and 30 W LDMOS RF PA using 2.3 GHz WiBro input signal, and adjacent-channel power ratio(ACPR) performance with the proposed digital predistortion is measured. The proposed model increases model accuracy for the PAs, and improves the linearization performance by reducing ACPR.

Characteristics of Gas Furnace Process by Means of Partition of Input Spaces in Trapezoid-type Function (사다리꼴형 함수의 입력 공간분할에 의한 가스로공정의 특성분석)

  • Lee, Dong-Yoon
    • Journal of Digital Convergence
    • /
    • v.12 no.4
    • /
    • pp.277-283
    • /
    • 2014
  • Fuzzy modeling is generally using the given data and the fuzzy rules are established by the input variables and the space division by selecting the input variable and dividing the input space for each input variables. The premise part of the fuzzy rule is presented by selection of the input variables, the number of space division and membership functions and in this paper the consequent part of the fuzzy rule is identified by polynomial functions in the form of linear inference and modified quadratic. Parameter identification in the premise part devides input space Min-Max method using the minimum and maximum values of input data set and C-Means clustering algorithm forming input data into the hard clusters. The identification of the consequence parameters, namely polynomial coefficients, of each rule are carried out by the standard least square method. In this paper, membership function of the premise part is dividing input space by using trapezoid-type membership function and by using gas furnace process which is widely used in nonlinear process we evaluate the performance.