• 제목/요약/키워드: nonlinearities

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Nonlinear Control of High Precision Pointing Stabilization Systems with Heavy Loads (대부하 정밀 표적지향 안정화 시스템의 비선형 제어기법 연구)

  • 이대옥;강태하;김학성;박광웅
    • Journal of the Korea Institute of Military Science and Technology
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    • v.4 no.2
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    • pp.157-178
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    • 2001
  • In this paper, the nonlinear control of high precision pointing stabilization system using feedback-linearization design methodology based on system parameter identification is discussed. Modern nonlinear servomechanism theory is adapted to cope with the hard nonlinearities inherent in the turret system. The mathematical models of electrical turret driving system to develop a high performance control algorithm are derived, and the parameter estimation algorithm identifying the unknown system parameters such as vicious and coulomb frictions, stiffness and inertia is developed. Through computer simulation and experiments, it is shown that pointing and tracking accuracy and stabilization against the wideband stochastic disturbance induced by vehicle running on the bump course are improved. Therefore, it is considered the proposed nonlinear control technique is effective in counteracting the nonlinearities and disturbances.

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Design of Nonlinear Controller for Tracking Control based on Genetic Fuzzy algorithm (유전 퍼지 알고리즘 기반의 추종 제어를 위한 비선형 제어기 설계)

  • Kong, Jung-Shik;Ahn, Sang-Min;Lee, Bo-Hee;Kim, Jin-Geol;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2684-2686
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    • 2005
  • This paper presents design of nonlinear controller based on genetic-fuzzy algorithm. Motor system that is included at a humanoid robot has many nonlinear parameters such as saturation, backlash and so on. So, it is hard to control a humanoid robot because of these nonlinearities. Also, tracking following ability is also reduced by these nonlinearities. In this paper, fuzzy PID controller is proposed for reducing efficiency by saturation. At that time, genetic algorithm is supplied at making fuzzy rule in order to make optimal fuzzy PID controller. Also, disturbance observer is used to reduce the efficiency of backlash. All these processes are verified by simulation and experiment in the real humanoid robot.

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Temperature control of a batch polymerization reactor using nonlinear predictive control algorithm (비선형 예측제어 알고리즘을 이용한 회분식 중합 반응기의 온도제어)

  • 나상섭;노형준;이현구
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1000-1003
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    • 1996
  • Nonlinear unified predictive control(UPC) algorithm was applied to the temperature control of a batch polymerization reactor for polymethylmethacrylate(PMMA). Before the polymerization reaction is initiated, the parameters of the process model are determined by the recursive least squares(RLS) method. During the reaction, nonlinearities due to generation of heat of reaction and variation of heat transfer coefficients are predicted through the nonlinear model developed. These nonlinearities are added to the process output from the linear process model. And then, the predicted process output is used to calculate the control output sequence. The performance of nonlinear control algorithm was verified by simulation and compared with that of the linear unified predictive control algorithm. In the experiment of a batch PMMA polymerization, nonlinear unified predictive control was implemented to regulate the temperature of the reactor, and the validity of the nonlinear model was verified through the experimental results. The performance of the nonlinear controller turned out to be superior to that of the linear controller for tracking abrupt changes in setpoint.

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Analysis of Slender RC Column Subjected to Long-term Biaxial Bending (장기 2축 휨을 받는 철근 콘크리트 장주의 해석)

  • Kwak, Hyo-Kyoung;Kwak, Ji-Hyun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.181-182
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    • 2009
  • A numerical model is suggested to calculate the long-term resisting capacity of slender Reinforced Concrete(RC) columns subject to axial load with biaxial bending moments. In this model, geometric nonlinearities by the long-term behavior of concrete and P- $\Delta$ effect as well as material nonlinearities by cracking of concrete and yielding of steel are considered. Experimental result from other researchers are compared to verify the proposed model.

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Adaptive Observer Based Speed Control of SI Engines (적응 상태 관측자를 이용한 SI 엔진 속도제어)

  • Kim, Eung-Seok;Lee, Hyo-Seub;Rhee, Hyung-Chan;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.693-695
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    • 1999
  • In this paper, the adaptive nonlinear state observer is proposed to estimate the internal states and the nonlinearities of 4-cylinders 4-cycles spark ignition(SI) engines. The observed states and nonlinearities will be used to design the adaptive feedback linearization controller for reducing the fluctuation of idle speed. The simulation results are represented to show the validity of the proposed nonlinear observer-based adaptive controller.

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Anti-Windup Controller Design for the Ship with the Rudder Saturation (Rudder 엑츄에이터 포화특성을 고려한 Anti-Windup 제어계의 설계)

  • 김영복;최명수
    • Journal of Ocean Engineering and Technology
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    • v.16 no.4
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    • pp.61-69
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    • 2002
  • In the actual control systems, there exist many kinds of restrictions or nonlinearities. However, due to the nonlinearities in actuators and sensors, the designed controller may not be applicable in some practical situations. One such nonlinearity is amplitude saturation in actuators. Although sometimes it may be ignored, in other cases failure to consider actuator saturation may severely degrade closed-loop system performance and even lead to instability. On the other hand, limiting the controller gain to avoid saturation sacrifices control effort and may lead to loss of performance. Consequently, in some cases, the actuator saturation must be explicitly taken into account to ensure desired performance. However, in this paper, an anti-windup control system design method is introduced to suppress the windup due to the amplitude saturation of the actuator. The proposed control system has very simple design process and guarantees the good control performance. The validity of the proposed control system will be shown by comparing with the results of a reported paper.

Optimal Design for A Heteropolar Magnetic Bearing Considering Nonlinearities

  • Kim, Chaesil;Lee, Jaewhoan;Park, Jong-Kweon
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.1
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    • pp.13-19
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    • 2002
  • Although the design of magnetic bearing needs a systematic optimization due to several design variables, constraints, geometric limitations, nonlinearities, and so on, the present designs for magnetic bearings have been conducted in the linear region of the characteristics for magnetic materials by trial and error considering design constraints. This article, therefore, provides the possibility of a genetic algorithm(GA) based optimization with two dimensional nonlinear finite element magnetic field analysis for the design of a radial heteropolar magnetic bearing. The magnetic bearing design by GA based optimization makes good agreements with that by a commercial optimization software DOT using the sensitivity analysis.

Cable Dynamics for Marine Applications -Nonlinearities- (해양 응용을 위한 케이블 동역학)

  • Shin, H. K.
    • Journal of Ocean Engineering and Technology
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    • v.4 no.2
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    • pp.35-40
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    • 1990
  • 해양 산업에서 심해로의 이동은 해양 구조물의 계류 장치의 중요성을 부각시켰고 그에 따른 기본적인 연구로서의 케이블 동력학에 대한 흥미를 일깨웠다. 거친 해상에서 케이블에 형성될 수 있는 큰 동장력과 기하학적 비선형성의 고려는 케이블의 비선형적 거동 해석에 주요 인자가 될 것이다. 또한 매우 큰 동장력 증폭에 의한 음의 큰 동장력은 케이블의 양의 정장력을 초과할 수 있고, 따라서 전체장력은 영 또는 음이 될 수 있다. 비선형 유체 항력을 포함한 모든 비선형성을 갖는 케이블의 이론적 해석 모델을 개발하고, 수치 결과와 기존의 실험 결과를 비교한다.

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WEAK SOLUTIONS AND ENERGY ESTIMATES FOR A DEGENERATE NONLOCAL PROBLEM INVOLVING SUB-LINEAR NONLINEARITIES

  • Chu, Jifeng;Heidarkhani, Shapour;Kou, Kit Ian;Salari, Amjad
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1573-1594
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    • 2017
  • This paper deals with the existence and energy estimates of solutions for a class of degenerate nonlocal problems involving sub-linear nonlinearities, while the nonlinear part of the problem admits some hypotheses on the behavior at origin or perturbation property. In particular, for a precise localization of the parameter, the existence of a non-zero solution is established requiring the sublinearity of nonlinear part at origin and infinity. We also consider the existence of solutions for our problem under algebraic conditions with the classical Ambrosetti-Rabinowitz. In what follows, by combining two algebraic conditions on the nonlinear term which guarantees the existence of two solutions as well as applying the mountain pass theorem given by Pucci and Serrin, we establish the existence of the third solution for our problem. Moreover, concrete examples of applications are provided.

Pole Placement Controller Design for Multivariable Nonlinear Stochastic Systems (다변수 비선형 확률 시스템에 대한 극점배치 제어기 설계)

  • Kim, Jong-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.1
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    • pp.33-44
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    • 1989
  • A controller disign method is proposed for multivariable nonlinear stochastic systems with hard nonlinearities such as Coulomb friction, backlash and saturation. In order to take the nonlinearities into account statistical linearization techniques are used. And multi- variable pole placement techniques are applied to design controller for the statistically linearized multivariable systems. The basic concept of the controller design method is to solve two coupled equations, characteristic equation and Lyapunov equation, simultaneously and iteratively for statistically linearized multivariable stochastic systems. An aircraft with saturation serves as a design example. The design example illustrates the influence of nonlinear effects. The results of the analysis are compared to Monte Carlo simulation to test their accuracy.

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