• Title/Summary/Keyword: Nonlinear optimization

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Reliability Optimization By using a Nonlinear Programming (비선형계량법(非線型計量法)을 이용한 신뢰성(信賴性)의 최적화(最適化))

  • Lee, Chang-Ho
    • Journal of Korean Society for Quality Management
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    • v.9 no.2
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    • pp.31-36
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    • 1981
  • This paper deals with the reliability optimization of parallel - in - series system subject to several linear constraints. The model of nonlinear constrained optimization is transformed to a saddle point problem by using Lagrange multipliers. Then Newton - Raphson method is used to solve the resulting problem and these step - by - step solution procedures are programmed in Basic Level II of micro - computer TRS-80. An example which has two linear constraints is solved and the results are analyzed.

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The Stiffness Analysis and Optimization of the Rubber Seat Considering Nonlinear Behavior (비선형거동을 고려한 방진고무의 강성해석 및 최적설계)

  • Lee, Dong-Hoon;Seo, Sang-Ho;Yun, Young-Hoon;Park, Jin-Goo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.244-249
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    • 2002
  • Rubber seat is extensively used to reduce the vibration of machine or structure. Over the years an enormous effort has been put into developing procedures to provide properties of rubber material for design function. However, there are still a lot of difficulties to analyze static characteristics of rubber components with hyper elasticity and nonlinear large deformation. In this paper material property is obtained by strain-stress curve using a tension test. Mooney-Rivlin Coefficients are gotten by fitting strain-stress curve. The visco-elastic characteristics of refrigerator rubber mount is determined by using ANSYS. And to minimize the rubber stiffness, the rubber seat shape optimization is performed.

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Real-Time Optimization for Mobile Robot Based on Algorithmic Control

  • Kobayashi, Tomoaki;Maenishi, Junichi;Imae, Joe;Zhai, Guisheng
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2102-2107
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    • 2005
  • In this paper, a real-time optimization method for nonlinear dynamical systems is proposed. The proposed method is based on the algorithms of numerical solutions for optimal control problems. We deal with a real-time collision-free motion control of a nonholonomic mobile robot, which has input restrictions of actuators. The effectiveness of the algorithmic method is demonstrated through numerical and experimental results. The mobile robot which we have developed is able to avoid moving obstacles skillfully. Therefore the proposed controller works well in real time.

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Optimal Intelligent Digital Redesign for a Class of Fuzzy-Model-Based Controllers

  • Chang-wook;Joo, Young-hoon;Park, Jin-bae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.113-118
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    • 2001
  • In this paper, we develop an optimal intelligent digital redesign method for a class of fuzzy-model-based controllers, effective for stabilization of continuous-time complex nonlinear systems. Takagi-Sugeno (TS) fuzzy model is used to extend the results of the classical digital redesign technique to complex nonlinear systems. Unlike the conventional intelligent digital redesign technique reported in the literature, the proposed method utilized the recently developed LMI optimization technique to obtain a digitally redesigned fuzzy-model-based controller. Precisely speaking, the intelligent digital redesign problem is converted to an equivalent optimization problem, and the LMI optimization method is used to find the digitally redesigned fuzzy-model-based controller. A numerical example is provided to evaluate the feasibility of the proposed approach.

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Optimal Design of a Squeeze Film Damper Using an Enhanced Genetic Algorithm

  • Ahn, Young-Kong;Kim, Young-Chan;Yang, Bo-Suk
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1938-1948
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    • 2003
  • This paper represents that an enhanced genetic algorithm (EGA) is applied to optimal design of a squeeze film damper (SFD) to minimize the maximum transmitted load between the bearing and foundation in the operational speed range. A general genetic algorithm (GA) is well known as a useful global optimization technique for complex and nonlinear optimization problems. The EGA consists of the GA to optimize multi-modal functions and the simplex method to search intensively the candidate solutions by the GA for optimal solutions. The performance of the EGA with a benchmark function is compared to them by the IGA (Immune-Genetic Algorithm) and SQP (Sequential Quadratic Programming). The radius, length and radial clearance of the SFD are defined as the design parameters. The objective function is the minimization of a maximum transmitted load of a flexible rotor system with the nonlinear SFDs in the operating speed range. The effectiveness of the EGA for the optimal design of the SFD is discussed from a numerical example.

A nonlinear optimization model of lower extremity movement in seated foot operation (비선형 최적화기법을 이용한 하지근력 예측 인체공학 모형)

  • 황규성;정의승;이동춘
    • Journal of the Ergonomics Society of Korea
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    • v.13 no.2
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    • pp.65-79
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    • 1994
  • A biomechanical model of lower extremity in seated postures was developed to assess muscular activities of lower extremity involved in a variety of foot pedal operations. The model incorporated four rigid body segments with the twenty-four muscles to represent lower extremity. This study deals with quasi-static movement to investigate dymanic movement effect in seated foot operation. It is found that optimization method which has been used for modeling the articulated body segments does not predict the forces generated from biarticular muscles and antagonistic muscles reasonably. So, the revised nonlinear optimization scheme was employed to consider the synergistic effects of biarticular muscles and the antagonistic muscle effects from the stabilization of the joint. For the model validation, three male subjects performen the experiments in which EMG activities of the nine lower extremity muscles were measured. Predicted muscle forces were compared with the corresponding EMG amplitudes and it showed no statistical difference. For the selection of optimal seated posture, a physiological meaningful criterion for muscular load sharing developed.

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OPTIMAL CONTROL AND OPTIMIZATION ALGORITHM OF NONLINEAR IMPULSIVE DELAY SYSTEM PRODUCING 1,3-PROPANEDIOL

  • Li, Kezan;Feng, Enmin;Xiu, Zhilong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.387-397
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    • 2007
  • According to the controllability of pulse times and the amount of jumps in the states at these times in the process of fed-batch culture producing 1,3-propanediol, this paper proposes a terminal optimal control model, whose constraint condition is the nonlinear impulsive delay system. The existence of optimal control is discussed and an optimization algorithm which is applied to each subinternal over one cycle for this optimal control problem is constructed. Finally, the numerical simulations show that the terminal intensity of producing 1,3-propanediol has been increased obviously.

The Design of Fuzzy Controller Based on Genetic Optimization and Neurofuzzy Networks

  • Oh, Sung-Kwun;Roh, Seok-Beom
    • Journal of Electrical Engineering and Technology
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    • v.5 no.4
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    • pp.653-665
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    • 2010
  • In this study, we introduce a neurofuzzy approach to the design of fuzzy controllers. The development process exploits key technologies of Computational Intelligence (CI), namely, genetic algorithms (GA) and neurofuzzy networks. The crux of the design methodology deals with the selection and determination of optimal values of the scaling factors of fuzzy controllers, which are essential to the entire optimization process. First, the tuning of the scaling factors of the fuzzy controller is carried out. Next, we form a nonlinear mapping for the scaling factors, which are realized by GA-based neurofuzzy networks by using a fuzzy set or fuzzy relation. The proposed approach is applied to control nonlinear systems like the inverted pendulum. Results of comprehensive numerical studies are presented through a detailed comparative analysis.

Shape Optimization of 3D Nonlinear Electromagnetic Device Using Design Sensitivity Analysis and Mesh Relocation Method (설계 민감도법과 요소망 변형법을 이용한 3차원 비선형 전자소자의 형상최적화)

  • Ryu, Jae-Seop;Yingying, Yao;Koh, Chang-Seop
    • Proceedings of the KIEE Conference
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    • 2002.11d
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    • pp.124-127
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    • 2002
  • This paper presents a 3D shape optimization algorithm for electromagnetic devices using the design sensitivity analysis with finite element method. The structural deformation analysis based on the deformation theory of the elastic body under stress is used for mesh renewing. The design sensitivity and adjoint variable formulae are derived for the 3D nonlinear finite element method with edge element. The proposed algorithm is applied to the shape optimization of 3D electromagnet to get a uniform flux density at the air gap.

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Fuzzy Controller Design by Means of Genetic Optimization and NFN-Based Estimation Technique

  • Oh, Sung-Kwun;Park, Seok-Beom;Kim, Hyun-Ki
    • International Journal of Control, Automation, and Systems
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    • v.2 no.3
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    • pp.362-373
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    • 2004
  • In this study, we introduce a noble neurogenetic approach to the design of the fuzzy controller. The design procedure dwells on the use of Computational Intelligence (CI), namely genetic algorithms and neurofuzzy networks (NFN). The crux of the design methodology is based on the selection and determination of optimal values of the scaling factors of the fuzzy controllers, which are essential to the entire optimization process. First, tuning of the scaling factors of the fuzzy controller is carried out, and then the development of a nonlinear mapping for the scaling factors is realized by using GA based NFN. The developed approach is applied to an inverted pendulum nonlinear system where we show the results of comprehensive numerical studies and carry out a detailed comparative analysis.