• Title/Summary/Keyword: nonlinear algorithm

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Identification and Control for Nonlinear Discrete Time Systems Using an Interconnected Neural Network

  • Yamamoto, Yoshihiro
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.994-998
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    • 2005
  • A new control method, called a simple model matching, has been recently developed by the author. This is very simple and be applied for linear and nonlinear discrete time systems with/without time lag. Based on this formulation, identification is examined in this paper using an interconnected neural network with the EBP-EWLS learning algorithm. With this result, a control method is also presented for a nonlinear discrete time system.

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Sliding Mode Control with Nonlinear Interpolation in Variable Boundary Layer

  • Kim, Yookyung;Jeon, Gijoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.35.1-35
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    • 2002
  • $\textbullet$ Sliding mode control (SMC) with nonlinear interpolation in variable boundary layer (VBL) is proposed $\textbullet$ A sigmoid function is used for nonlinear interpolation in VBL. $\textbullet$ The Parameter of the sigmoid function is tuned by fuzzy controller $\textbullet$ The choice of parameter for the sigmoid function is guided by FC. $\textbullet$ The parameter is continuously updated as boundary layer thickness varies. $\textbullet$ The proposed method hasbetter tracking performance than the conventional linear interpolation $\textbullet$ To demonstrate its performance the proposed control algorithm is applied to a nonlinear system.

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GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS

  • Al Said, Elsa-A.;Noor, Muhammad-Aslam
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.659-668
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    • 1998
  • In this paper we introduce and study a new class of gen-eralized mildly nonlinear complementarity problems for fuzzy map-pings. We use the change of variabes technique to establish the equivalence between the generalized mildly nonlinear complementar-ity problems and the Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithm for solv-ing the generalized mildly nonlinear complemetarity problems.

Control Method of Nonlinear System using Dynamical Neural Network (동적 신경회로망을 이용한 비선형 시스템 제어 방식)

  • 정경권;이정훈;김영렬;이용구;손동설;엄기환
    • Proceedings of the IEEK Conference
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    • 2002.06c
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    • pp.33-36
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    • 2002
  • In this paper, we propose a control method of an unknown nonlinear system using a dynamical neural network. The method proposed in this paper performs for a nonlinear system with unknown system, identification with using the dynamical neural network, and then a nonlinear adaptive controller is designed with these identified informations. In order to verify the effectiveness of the proposed algorithm, we simulated one-link manipulator. The simulation result showed the effectiveness of using the dynamical neural network in the adaptive control of one-link manipulator.

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Nonlinear vibration of oscillatory systems using semi-analytical approach

  • Bayat, Mahmoud;Bayat, Mahdi;Pakar, Iman
    • Structural Engineering and Mechanics
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    • v.65 no.4
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    • pp.409-413
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    • 2018
  • In this paper, He's Variational Approach (VA) is used to solve high nonlinear vibration equations. The proposed approach leads us to high accurate solution compared with other numerical methods. It has been established that this method works very well for whole range of initial amplitudes. The method is sufficient for both linear and nonlinear engineering problems. The accuracy of this method is shown graphically and the results tabulated and results compared with numerical solutions.

SYSTEM OF GENERALIZED NONLINEAR REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES

  • Salahuddin, Salahuddin
    • Korean Journal of Mathematics
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    • v.24 no.2
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    • pp.181-198
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    • 2016
  • In this work, we suggest a new system of generalized nonlinear regularized nonconvex variational inequalities in a real Hilbert space and establish an equivalence relation between this system and fixed point problems. By using the equivalence relation we suggest a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of generalized nonlinear regularized nonconvex variational inequalities.

Nonlinear System Identification using an Adaptive Nonlinear Recursive State-Space Filter and its performance analysis (ANRSS 필터를 이용한 비선형 시스템의 인식 및 성능분석)

  • Kim, Hyun-Sang;Nam, Sang-Won
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.937-940
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    • 1995
  • The purpose of this paper is to present a nonlinear system identification method, where an adaptive nonlinear recursive state-spare(ANRSS) filter is employed as its filter structure, and a variable step (VS) algorithm is applied as its adaptation law. To demonstrate the validity of the proposed method, some simulation results are included.

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Approximation Solvability for a System of Nonlinear Variational Type Inclusions in Banach Spaces

  • Salahuddin, Salahuddin
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.101-123
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    • 2019
  • In this paper, we consider a system of nonlinear variational type inclusions involving ($H,{\varphi},{\eta}$)-monotone operators in real Banach spaces. Further, we define a proximal operator associated with an ($H,{\varphi},{\eta}$)-monotone operator and show that it is single valued and Lipschitz continuous. Using proximal point operator techniques, we prove the existence and uniqueness of a solution and suggest an iterative algorithm for the system of nonlinear variational type inclusions. Furthermore, we discuss the convergence of the iterative sequences generated by the algorithms.

Hopfield neuron based nonlinear constrained programming to fuzzy structural engineering optimization

  • Shih, C.J.;Chang, C.C.
    • Structural Engineering and Mechanics
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    • v.7 no.5
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    • pp.485-502
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    • 1999
  • Using the continuous Hopfield network model as the basis to solve the general crisp and fuzzy constrained optimization problem is presented and examined. The model lies in its transformation to a parallel algorithm which distributes the work of numerical optimization to several simultaneously computing processors. The method is applied to different structural engineering design problems that demonstrate this usefulness, satisfaction or potential. The computing algorithm has been given and discussed for a designer who can program it without difficulty.

High precision tracking contorl algorithm for micro electrostatic actuator with nonlinearity (Nonlinearity를 갖는 Micro Electorstatic Actuator의 초정밀 추종제어)

  • 김경한;최현택;송재욱;정완균
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.464-467
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    • 1997
  • In this paper, a high precision track following control algorithm is proposed for micro electrostatic actuator considering of the application for hard disk drive. The micro electrostatic actuator proposed has nonlinear voltage-displacement characteristic in a working range of 0.8.mu.m and has uni-directional movement. Mid range reference and open-loop bias are proposed for the revision of negative position error, and inverse model for linearization.

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