• Title/Summary/Keyword: Nonlinear Approximation

Search Result 560, Processing Time 0.032 seconds

Realization of TDoA based Position Tracking Algorithm using Adaptive Fading Kalman Filter (적응형 칼만 필터를 이용한 TDoA 기반 정밀 위치 추정 알고리즘 구현)

  • Sung, Wook-Jin;Choi, Seoung-Ok;You, Kwan-Ho
    • Proceedings of the KIEE Conference
    • /
    • 2008.07a
    • /
    • pp.1757-1758
    • /
    • 2008
  • Extended Kalman Filter(EKF) is widely used in tracking position of nonlinear system. but there exists a divergence problem caused by approximation of nonlinear system's linearization. Adaptive fading Kalman filter (AFKF) is one of the effective methods which employs suboptimal fading factors to solve the divergence problem in an EKF In this paper we present an improved TDoA (time difference of arrival) based position tracking by using AFKF.

  • PDF

Solving Dynamic Equation Using Combination of Both Trigonometric and Hyperbolic Cosine Functions for Approximating Acceleration

  • Quoc Do Kien;Phuoc Nguyen Trong
    • Journal of Mechanical Science and Technology
    • /
    • v.19 no.spc1
    • /
    • pp.481-486
    • /
    • 2005
  • This paper introduces a numerical method for integration of the linear and nonlinear differential dynamic equation of motion. The variation of acceleration in two time steps is approximated as a combination of both trigonometric cosine and hyperbolic cosine functions with weighted coefficient. From which all necessary formulae are elaborated for the direct integration of the governing equation. A number of linear and nonlinear dynamic problems with various degrees of freedom are analysed using both the suggested method and Newmark method for the comparison. The numerical results show high advantages and effectiveness of the new method.

Large Displacement Dynamic Analysis with Frictional Contact by Linear Complementarity Formulation (선형 상보성 수식화를 이용한 마찰 접촉 대변형 동역학 문제의 해석)

  • Sung, Jae-Hyuk;Kwak, Byung-Man
    • Proceedings of the KSME Conference
    • /
    • 2001.06a
    • /
    • pp.674-679
    • /
    • 2001
  • For a large deformation nonlinear dynamic analysis of two-dimensional frictional contact, the linear complementarity formulation combined with a linearization is used. The solution procedure is based on the total Lagrangian formulation with a predictor and corrector scheme. For contact searching, a hierarchical scheme with a circular territory is used. A second-order approximation of displacements is used to detect impact time and position. The formulation is illustrated by means of numerical examples.

  • PDF

Adaptive Output-feedback Neural Control for Strict-feedback Nonlinear Systems (strict-feedback 비선형 시스템의 출력궤환 적응 신경망 제어기)

  • Park Jang-Hyun;Kim Il-Whan;Kim Seong-Hwan;Moon Chae-Joo;Choi Jun-Ho
    • Proceedings of the KIPE Conference
    • /
    • 2006.06a
    • /
    • pp.526-528
    • /
    • 2006
  • An adaptive output-feedback neural control problem of SISO strict-feedback nonlinear system is considered in this paper. The main contribution of the proposed method is that it is shown that the output-feedback control of the strict-feedback system can be viewed as that of the system in the normal form. As a result, proposed output-feedback control algorithm is much simpler than the previous backstepping-based controllers. Depending heavily on the universal approximation property of the neural network (NN) only one NN is employed to approximate lumped uncertain nonlinearity in the controlled system.

  • PDF

Multidisciplinary Design Optimization of 3-Stage Axial Compressorusing Artificial Neural Net (인공신경망 이론을 적용한 3단 축류압축기의 다분야 통합 최적설계)

  • Hong, Sang-Won;Lee, Sae-Il;Kang, Hyung-Min;Lee, Dong-Ho;Kang, Young-Seok;Yang, Soo-Seok
    • The KSFM Journal of Fluid Machinery
    • /
    • v.13 no.6
    • /
    • pp.19-24
    • /
    • 2010
  • The demands for small, high performance and high loaded aircraft compressor are increased in the world. But the design requirements become increasingly complex to design these high technical engines, the requirement of the design optimization become increased. The optimal design result of several disciplines show different tendencies and nonlinear characteristics of the compressor design, the multidisciplinary design optimization method must be considered in compressor design. Therefore, the artificial Neural Net method is adapted to make the approximation model of 3-stage axial compressor design optimization for considering the nonlinear characteristic. At last, the optimal result of this study is compared to that of previous study.

Optimal Structure of Wavelet Neural Network Systems using Genetic Algorithm (유전 알고리즘 이용한 웨이블릿 신경회로망의 최적 구조 설계)

  • 이창민;서재용;진홍태
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.10 no.4
    • /
    • pp.338-342
    • /
    • 2000
  • In order to approximate a nonlinear function, wacelet neural networks combining wacelet theory and neural networks have been proposed as an alternative to conventional multi-layered neural networks. wacelet neural networks provide better approximating performance than conventional neural networks. In this paper, an effective method to construct an optimal wavelet neural network is proposed using genetic alogorithm. Genetic Algorithm is used to determine dilationa and translations of wavelet basic functions of wavelet neural networks. Then, these determined dilations dilations and translations, wavelet neural networks are funther trained by back propagation learning algorithm. The effectiveness of the final network is verified thrifigh the approximation result of a nonlinear function and comparison with conventional neural networks.

  • PDF

A Design Method of Model Following Control System using Neural Networks

  • Nagashima, Koumei;Aida, Kazuo;Yokoyama, Makoto
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2000.10a
    • /
    • pp.485-485
    • /
    • 2000
  • A design method of model following control system using neural networks is proposed. An unknown nonlinear single-input single-output plant is identified using a multilayer neural networks. A linear controller is designed fer the linear approximation model obtained by linearinzing the identification model. The identification model is also used as a plant emulator to obtain the prediction error. Deficient servo performance due to controlling nonlinear plant with only linear controller is mended by adjusting the linear controller output using the prediction output and the parameters of the identification model. An optimal preview controller is adopted as the linear controller by reason of having good servo performance lowering the peak of control input. Validity of proposed method is illustrated through a numerical simulation.

  • PDF

Identification of Multi-Fuzzy Model by means of HCM Clustering and Genetic Algorithms (HCM 클러스터링과 유전자 알고리즘을 이용한 다중 퍼지 모델 동정)

  • 박호성;오성권
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2000.10a
    • /
    • pp.370-370
    • /
    • 2000
  • In this paper, we design a Multi-Fuzzy model by means of HCM clustering and genetic algorithms for a nonlinear system. In order to determine structure of the proposed Multi-Fuzzy model, HCM clustering method is used. The parameters of membership function of the Multi-Fuzzy ate identified by genetic algorithms. A aggregate performance index with a weighting factor is used to achieve a sound balance between approximation and generalization abilities of the model. We use simplified inference and linear inference as inference method of the proposed Multi-Fuzzy mode] and the standard least square method for estimating consequence parameters of the Multi-Fuzzy. Finally, we use some of numerical data to evaluate the proposed Multi-Fuzzy model and discuss about the usefulness.

  • PDF

On-line parameter estimation of continuous-time systems using a genetic algorithm (유전알고리즘을 이용한 연속시스템의 온라인 퍼래미터 추정)

  • Lee, Hyeon-Sik;Jin, Gang-Gyu
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.4 no.1
    • /
    • pp.76-81
    • /
    • 1998
  • This paper presents an on-line scheme for parameter estimation of continuous-time systems, based on the model adjustment technique and the genetic algorithm technique. To deal with the initialisation and unmeasurable signal problems in on-line parameter estimation of continuous-time systems, a discrete-time model is obtained for the linear differential equation model and approximations of unmeasurable states with the observable output and its time-delayed values are obtained for the nonlinear state space model. Noisy observations may affect these approximation processes and degrade the estimation performance. A digital prefilter is therefore incorporated to avoid direct approximations of system derivatives from possible noisy observations. The parameters of both the model and the designed filter are adjusted on-line by a genetic algorithm, A set of simulation works for linear and nonlinear systems is carried out to demonstrate the effectiveness of the proposed method.

  • PDF

Bayesian Mode1 Selection and Diagnostics for Nonlinear Regression Model (베이지안 비선형회귀모형의 선택과 진단)

  • 나종화;김정숙
    • The Korean Journal of Applied Statistics
    • /
    • v.15 no.1
    • /
    • pp.139-151
    • /
    • 2002
  • This study is concerned with model selection and diagnostics for nonlinear regression model through Bayes factor. In this paper, we use informative prior and simulate observations from the posterior distribution via Markov chain Monte Carlo. We propose the Laplace approximation method and apply the Laplace-Metropolis estimator to solve the computational difficulty of Bayes factor.