• Title/Summary/Keyword: Nonlinear function

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Self-Structuring Radial -Basis Function Network for Identification of Uncertain Nonlinear Systems

  • Jun, Jae-Choon;Park, Jang-Hyun;Yoon, Pil-Sang;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.26.6-26
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    • 2001
  • In this paper we introduce a new algorithm that enables radial basis function network(RBFN) to be structured automatically and guarantees the stability of the RBFN. Because this new algorithm is efficient and also have the advantage of fast computational speed we adopt this algorithm as online learning scheme for uncertain nonlinear dynamical systems. Based on the fact that a 3-layered RBFN can represent a specific nonlinear function reasonably well by linearly combining a set of nonlinear and localized basis functions, we show that this RBFN can identify the nonlinear system very well without knowing the information of the system in advance.

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Stability Analysis and Control of the Electro-Hydraul System for Steering of the Unmaned Container Transporter(UCT) (무인 컨테이너 운반차량의 조향을 위한 전기-유압 시스템의 안정도 분석 및 해석)

  • 최재영;윤영진;허남;이영진;이만형
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 1999.10a
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    • pp.371-374
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    • 1999
  • This paper present the nonlinear control and the Lyapunov analysis of the nonlinear electro-hydraulic system for steering control of UCT. Electro-hydraulic system itself has the high nonlinearities arisen from the nonlinear characteristics of the pressure-fluid flow in valve and friction in cylinder. These nonlinearities are unmodeled terms in the transfer function. This paper presents the system modeling, analysis of stability based on the Lyapunov function and simulation of the nonlinear hydraulic servo system.

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A Study on the Identification of Nonlinear Vibration System with Stick Slip Friction (Stick-Slip 마찰이 있는 비선형 진동 시스템의 규명에 관한 연구)

  • 허인호;이병림;이재응
    • Journal of KSNVE
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    • v.10 no.3
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    • pp.451-456
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    • 2000
  • In this paper a discrete time model for the identification of nonlinear vibration system with stick-slip friction is proposed. The proposed model can handle the highly nonlinear behavior of the friction such as stick-slip phenomenon and Stribeck effect. The basic idea of the proposed model is as follows : If the nonlinearity of the system can be predicted as a simple function then this nonlinear function term cab be directly used in the discrete time model. By doing this the number of nonlinear terms in the model can be much less than those of NARMAX model which is widely used nonlinear discrete model. The simulation result shows that the proposed model can estimate the response of the nonlinear vibration system with stick-slip friction very well with less computational effort.

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On analysis of nonlinear impedance force control for robot manipulators (로봇의 비선형 임피던스 힘제어에 대한 연구)

  • Jung, Seul;Lee, Ji-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.560-563
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    • 1997
  • The conventional impedance control has been known to have the following problems: it has lack of specifying force directly and unknown environment stiffness has to be known priori in order to specify the reference trajectory. In this paper, new impedance force control that can control a desired force directly under unknown stiffness is proposed. A new nonlinear impedance function is developed based on estimation of unknown stiffness from force and position measurements. The nonlinear characteristics of the proposed impedance function are analyzed based on unknown environment position. Simulation studies with robot manipulator are carried out to test analytical results.

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The Analysis of the Nonlinear Reactor Control System (비선형 원자로제어계의 특성해석)

  • Heung Suk Yang
    • 전기의세계
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    • v.16 no.3
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    • pp.16-20
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    • 1967
  • To analyze the stability creterion and the dynamic performance of the nonlinear reactor control system which involve the on-off element and gear backlash, the concept of discribing function is developed for the system of two nonlinear elements are connected by linear element. Using the derived discribing function and frequency responce method, the stability creterion and the dynamic performance of the nonlinear reactor control system are analyzed, and the results of the analysis are conformed by analog computor.

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A LOGARITHMIC CONJUGATE GRADIENT METHOD INVARIANT TO NONLINEAR SCALING

  • Moghrabi, I.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.8 no.2
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    • pp.15-21
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    • 2004
  • A Conjugate Gradiant (CG) method is proposed for unconstained optimization which is invariant to a nonlinear scaling of a strictly convex quadratic function. The technique has the same properties as the classical CG-method when applied to a quadratic function. The algorithm derived here is based on a logarithmic model and is compared to the standard CG method of Fletcher and Reeves [3]. Numerical results are encouraging and indicate that nonlinear scaling is promising and deserves further investigation.

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Analysis on the Random Sequences Generated by LFSR with Nonlinear Function (비선형 결합함수를 이용한 단수계열의 특성 분석)

  • 김지홍;이만영
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.8
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    • pp.1-6
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    • 1994
  • In this paper, we introduce the nonlinear combiner structure which improves linear complexity and randomness properties on maximum length sequences generated by LFSR. Choosing the primitive polynomial over GF(2S04T) as feedback tap polynomial, we devise nonlinear combiner structure and analyze the random output sequences generated by LFSR with nonlinear function.

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On a Parallel-Structured High-Speed Implementation of the Word-Based Stream Cipher (워드기반 스트림암호의 병렬화 고속 구현 방안)

  • Lee, Hoon-Jae;Do, Kyung-Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.4
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    • pp.859-867
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    • 2010
  • In this paper, we propose some parallel structures of the word-based nonlinear combining functions in word-based stream cipher, high-speed versions of general (bit-based) nonlinear combining functions. Especially, we propose the high-speed structures of popular four kinds in word-based nonlinear combiners using by PS-WFSR (Parallel-Shifting or Parallel-Structured Word-based FSR): m-parallel word-based nonlinear combiner without memory, m-parallel word-based nonlinear combiner with memories, m-parallel word-based nonlinear filter function, and m-parallel word-based clock-controlled function. In addition, we propose an implementation example of the m-parallel word-based DRAGON stream cipher, and determine its cryptographic security and performance.

Decentralized Adaptive Control for Nonlinear Systems with Time-Delayed Interconnections: Intelligent Approach (시간 지연 상호 연계를 가진 비선형 시스템의 분산 적응 제어: 지능적인 접근법)

  • Yoo, Sung-Jin;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.4
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    • pp.413-419
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    • 2009
  • A decentralized adaptive control method is proposed for large-scale systems with unknown time-delayed nonlinear interconnections unmatched in control inputs. It is assumed that the time-delayed interaction terms are bounded by unknown nonlinear bounding functions. The nonlinear bounding functions and uncertain nonlinear functions of large-scale systems are compensated by the function approximation technique using neural networks. The dynamic surface control method is extended to design the proposed memoryless local controller for each subsystem of uncertain nonlinear large-scale time delay systems. Therefore, although the interconnected systems consist of a large number of subsystems, the proposed controller can be designed simply. We prove that all the signals in the total closed-loop system are semiglobally uniformly bounded and the control errors converge to an adjustable neighborhood of the origin. Finally, an example is given to demonstrate the effectiveness and applicability of the proposed scheme.

Nonlinear Programming Circuit using Neural Networks (신경회로망을 이용한 비선형 프로그래밍회로)

  • 강민제
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.4
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    • pp.77-84
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    • 2001
  • Since Hopfield introduced the neural network for liner programming problems many papers have been published about it and some of them are about nonlinear programming problems Therefore nonlinear, cost function problem has been solved however nonlinear constraints problem has not been solved In this paper I have proposed the general nonlinear programming neural networks which minimize cost function with nonlinear constraints.

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