• Title/Summary/Keyword: Nonlinear optimal design

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Active control of a nonlinear and hysteretic building structure with time delay

  • Liu, Kun;Chen, Long-Xiang;Cai, Guo-Ping
    • Structural Engineering and Mechanics
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    • v.40 no.3
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    • pp.431-451
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    • 2011
  • Time delay inevitably exists in active control systems, and it may cause the degradation of control efficiency or instability of the systems. So time delay needs to be compensated in control design in order to eliminate its negative effect on control efficiency. Today time delay in linear systems has been more studied and some treating methods had been worked out. However, there are few treating methods for time delay in nonlinear systems. In this paper, an active controller for a nonlinear and hysteretic building structure with time delay is studied. The nonlinear and hysteretic behavior of the system is illustrated by the Bouc-Wen model. By specific transformation and augmentation of state parameters, the motion equation of the system with explicit time delay is transformed into the standard state space representation without any explicit time delay. Then the fourth-order Runge-Kutta method and instantaneous optimal control method are applied to the controller design with time delay. Finally, numerical simulations and comparisons of an eight-story building using the proposed time-delay controller are carried out. Simulation results indicate that the control performance will deteriorate if time delay is not taken into account in the control design. The simulations also prove the proposed time delay controller in this paper can not only effectively compensate time delay to get better control effectiveness, but also work well with both small and large time delay problems.

A Study on the Power System Stabilizer Design using Object-Oriented Method (객체지향기법을 적용한 PSS 설계에 관한 연구)

  • Park, Ji-Ho;Baek, Young-Sik
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.671-677
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    • 1999
  • In this paper, we have designed power system stabilizer (PSS) using object-oriented method. There are several types of power system stabilizer. A proportional-integral(PI) controller is very simple for practical implementation. Therefore it has been widely employed by the industry. The methods of obtaining the gains(Ki,Kp) of PI controller are root-locus method and sub-optimal regulator approach. But these methods are cannot be applicable to nonlinear system and faulted power system. So we proposed a new method which can be applied to nonlinear system by numerical analysis method. The method of dynamic system simulation by numerical method is very difficult and complex. We proposed flexible simultaion method for complex power system analysis using object-oriented programming(OOP) and applied to PI controller design.

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Nonlinear Dynamic Analysis of Cantilever Tube Conveying Fluid with System Identification

  • Lim, Jae-Hoon;Jung, Goo-Choong;Park, Yeon-Sun
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1994-2003
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    • 2003
  • The vibration of a flexible cantilever tube with nonlinear constraints when it is subjected to flow internally with fluids is examined by experimental and theoretical analysis. These kinds of studies have been performed to find the existence of chaotic motion. In this paper, the important parameters of the system leading to such a chaotic motion such as Young's modulus and the coefficient of viscoelastic damping are discussed. The parameters are investigated by means of system identification so that comparisons are made between numerical analysis using the design parameters and the experimental results. The chaotic region led by several period-doubling bifurcations beyond the Hopf bifurcation is also re-established with phase portraits, bifurcation diagram and Lyapunov exponent so that one can define optimal parameters for system design.

Robust Controller Design Method for Systems with Parametric Uncertainties

  • Lee, Jietae;Koo, Doe-Gyoon;Thomas F. Edgar
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.2
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    • pp.140-148
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    • 2000
  • This paper presents iterative schemes and continuation schemes for designing robust controllers which stabilize dynamic systems having bounded parametric uncertainties. Utilizing results of the cheap control problem, some existence conditions of the robust controller are obtained, which are different from the matching conditions. continuation schemes are used to overcome the divergence problem of iterative schemes. The roust controller design method is extended to nonlinear system ans easily implementable series solution is also obtained. Results are illustrated with simple examples.

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A Design Method of Model Following Control System using Neural Networks

  • Nagashima, Koumei;Aida, Kazuo;Yokoyama, Makoto
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.485-485
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    • 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.

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A Study on Earth-Moon Transfer Orbit Design

  • No, Tae-Soo;Lee, Ji-Marn;Jeon, Gyeong-Eon;Lee, Dae-Ro;Kim, Ghang-Ho
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.1
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    • pp.106-116
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    • 2012
  • Optimal transfer trajectories based on the planar circular restricted three body problem are designed by using mixed impulsive and continuous thrust. Continuous and dynamic trajectory optimization is reformulated in the form of discrete optimization problem. This is done by the method of direct transcription and collocation. It is then solved by using nonlinear programming software. Two very different transfer trajectories can be obtained by the different combinations of the design parameters. Furthermore, it was found out that all designed trajectories permit a ballistic capture by the Moon's gravity. Finally, the required thrust profiles are presented and they are analyzed in detail.

MEASURE THEORETICAL APPROACH FOR OPTIMAL SHAPE DESIGN OF A NOZZLE

  • FARAHI M. H.;BORZABADI A. H.;MEHNE H. H.;KAMYAD A. V.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.315-328
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    • 2005
  • In this paper we present a new method for designing a nozzle. In fact the problem is to find the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the boundary condition is defined over an unspecified domain. By an embedding process, the problem is first transformed to a new shape-measure problem, and then this new problem is replaced by another in which we seek to minimize a linear form over a subset of linear equalities. This minimization is global, and the theory allows us to develop a computational method to find the solution by a finite-dimensional linear programming problem.

Effective Compensation of the Distorted 1.12 Tbps WDM Signals Using Optimization of Total Dispersion

  • Lee, Seong-Real
    • Journal of information and communication convergence engineering
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    • v.5 no.4
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    • pp.377-381
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    • 2007
  • Nonlinear effects and chromatic dispersion are the main causes of pulse degradation in high bit-rate WDM transmission systems and several architectures have been proposed to compensate them by means of optical phase conjugation. In this paper, a new method to exploit an optical phase conjugator (OPC) for nonlinearity and dispersion cancellation is disclosed. The proposed method is using optimal total dispersion of each fiber sections and it is simpler than those previously described in literature. Power penalty between WDM channels and the maximum launch power in $28{\times}40$ Gbps WDM transmission system designed by optimal total dispersion are more decreased and more increased than those in the conventional WDM transmission system with OPC, respectively. Furthermore, optimal total dispersion proposed in this research should provide the flexible design of WDM system, which less depends on OPC position.

Trajectory Optimization and Optimal Explicit Guidance Algorithm Design for a Satellite Launch Vehicle (위성발사체의 궤적최적화와 최적 유도 알고리듬 설계)

  • Roh, Woong-Rae;Kim, Yodan;Song, Taek-Lyul
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.2
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    • pp.173-182
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    • 2001
  • Ascent trajectory optimization and optimal explicit guidance problems for a satellite launch vehicle in a 2-dimensional pitch plane are studied. The trajectory optimization problem with boundary conditions is formulated as a nonlinear programming problem by parameterizing the pitch attitude control variable, and is solved by using the SQP algorithm. The flight constraints such as gravity-turn are imposed. An optimal explicit guidance algorithm in the exoatmospheric phase is also presented, the guidance algorithm provides steering command and time-to-go value directly using the current states of the vehicle and the desired orbit insertion conditions. To verify the optimality and accuracy of the algorithm simulations are performed.

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A Design for Optimal Models of Inventory-Distribution System with Back-Ordered Case (부재고를 갖는 재고.수송시스템의 최적모형설계)

  • 우태희;조남호
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.25-36
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    • 1997
  • The purpose of this paper is to structure a new integrated model that can minimize the total cost for the transportation and inventory systems between m origin points, where origin i has a supply of a commodity, such as distribution centers or warehouses, and n destination points, where destination j requires the commodity. In this case, demands of the destination points are assumed random variables which have a known probability distribution. We will find optimal distribution centers which transport the commodity to the destination points and suggest optimal inventory policy to the selected distribution center which find the optimal pair $$ and safety stock level that minimize total cost with back-ordered case. This new model is formulated as a 0-1 nonlinear integer programming problem. To solve the problem, this paper proposes heuristic computational procedures and program and provides numerical examples.

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