• Title/Summary/Keyword: nonlinear feedback

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A study on the performance improvement of hydraulic position control system using series-feedback compensator (직렬 피이드백 보상기를 이용한 위치제어 유압시스템의 성능향상에 관한 연구)

  • 이교일;이종극
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.332-337
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    • 1988
  • A digital series-feedback compensator algorithm for tracking time-varying signal is presented. The series-feedback compensator is composed of one closed loop pole / zero cancellation compensator and one desired-input generator. This algorithm is applied to nonlinear hydraulic position control system. The hydraulic servo system is modelled as a second order linear model and cancellation compensator is modelled from it. The desired input generator is inserted to reduce modelling error. Digital computer simulation output using this control method is present and the usefulness of this control algorithm for nonlinear hydraulic system is verified.

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Output feedback semiglobal stabilization for a nonlinear system (광범위한 안정 영역을 갖는 출력만을 이용한 제어기 설계)

  • 오성록
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.9
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    • pp.60-66
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    • 1997
  • WE consider the stabilization of a class of multivariable nonlinear system using variable structure output feedback control. A high-gain observer is used to estimate state variable while rejecting the effect of the disturbances. We design a globally bounded output feedback variable structure controller that semi-globally stabilize the closed-loop system, while state variables do not exhibit a peaking.

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A Study on the BLDC Motor Contro with Noble SMC (새로운 SMC를 이용한 BLDC 전동기 제어에 관한 연구)

  • 박승규
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.216-220
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    • 1999
  • In this paper, the feedback linearization technique is used with the sliding mode control for nonlinear system. The combination of these two control techniques can be achieved by proposing a novel sliding surface which has the nonminal dynamics of the original system controlled by feedback linearization technique. The noble design of the sliding surface is based on the augmented system whose dynamics have a higher order than that of the original system. The reaching phase is removed by using an initial virtual state which makes the initial sliding function equal to zero

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Output Feedback Stabilization using Integral Sliding Mode Control (적분 슬라이딩 모드 제어기를 이용한 출력 궤환 안정화)

  • Oh, Seung-Rohk
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.3
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    • pp.142-147
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    • 2003
  • We consider a single-input-single-output nonlinear system which can be represented in a normal form. The nonlinear system has a modeling uncertainties including the input coefficient uncertainty. A high-gain observer is used to estimate the states variables to reject a modeling uncertainty. A globally bounded output feedback integral sliding mode control is proposed to stabilize the closed loop system. The proposed integral sliding mode control can asymptotically stabilize the closed loop system in the presence of input coefficient uncertainty.

Digital Feedback Linerization of the Nonlinear System (비선형 시스템의 디지털 Feedback 선형화 기법)

  • 이홍기;전홍태;김찬호
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.6
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    • pp.33-42
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    • 1994
  • The sampling is inevitable in controlling the nonlinear continuous time system. This paper deals with digital feedback linearization problem which eliminates or reduces the effect of the sampling. Necessary and sufficient condition for reducing the sampling error up to O$(h^5)$ are obtained. Also, the effectiveness of our control scheme in accuracy and robustness is shown by comuter simulations.

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Application of simple adaptive control to an MR damper-based control system for seismically excited nonlinear buildings

  • Javanbakht, Majd;Amini, Fereidoun
    • Smart Structures and Systems
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    • v.18 no.6
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    • pp.1251-1267
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    • 2016
  • In this paper, Simple Adaptive Control (SAC) is used to enhance the seismic response of nonlinear tall buildings based on acceleration feedback. Semi-active MR dampers are employed as control actuator due to their reliability and well-known dynamic models. Acceleration feedback is used because of availability, cost-efficiency and reliable measurements of acceleration sensors. However, using acceleration feedback in the control loop causes the structure not to apparently meet some requirements of the SAC algorithm. In addition to defining an appropriate SAC reference model and using inherently stable MR dampers, a modification in the original structure of the SAC is proposed in order to improve its adaptability to the situation in which the plant does not satisfy the algorithm's stability requirements. To investigate the performance of the developed control system, a numerical study is conducted on the benchmark 20-story nonlinear building and the responses of the SAC-controlled structure are compared to an $H_2/LQG$ clipped-optimal controller under the effect of different seismic excitations. As indicated by the results, SAC controller effectively reduces the story drifts and hence the seismically-induced damage throughout the structural members despite its simplicity, independence of structural parameters and while using fewer number of dampers in contrast with the $H_2/LQG$ clipped-optimal controller.

Stabilization of Underwater Glider by Buoyancy and Moment Control: Feedback Linearization Approach (부력 및 모멘트 제어를 이용한 수중글라이더의 안정화: 피드백 선형화 접근법)

  • Jee, Sung Chul;Lee, Ho Jae;Kim, Moon Hwan;Moon, Ji Hyun
    • Journal of Ocean Engineering and Technology
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    • v.28 no.6
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    • pp.546-551
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    • 2014
  • This paper addresses a feedback linearization control problem for the nonlinear dynamics of an underwater glider system. We consider the buoyancy and moment as control inputs, which come from the mass variation and elevator control, respectively. Moment-to-force coupling increases the nonlinearities, which make the controller design difficult. By using a feedback linearization technique, we convert the nonlinear underwater glider to an equivalent linear model and design a linear controller. The controller for the equivalent converted linear system is designed using sufficient conditions in terms of linear matrix inequalities. Then, the control input of the nonlinear model of an underwater glider is formulated from the linear control input. An experimental examination is implemented to verify the effectiveness of the proposed technique.

Control of Elevator Induction Motors with High Dynamic Performance and High Power Efficiency (엘리베이터를 위한 유도전동기의 에너지절감 및 고성능제어)

  • 김규식;김재윤;최주엽;송중호
    • The Transactions of the Korean Institute of Power Electronics
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    • v.4 no.1
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    • pp.43-49
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    • 1999
  • We propose a nonlinear feedback controller that can control the induction motors with high dynamic performance and high power efficiency by means of decoupling of motor speed and rotor flux. The nonlinear feedback controller needs the information on some motor parameters. New recursive adaptation algorithms for rotor resistance and mutual inductance which can be applied to our nonlinear feedback controller are also presented in this paper. The recursive adaptation algorithms make the estimated values of rotor resistance and mutual inductance track their real values. Some simulation and experimental results show that the adaptation algorithms are robust against the variation of stator resistance and stator inductance.

The Control of Inverted Pendulum System Using Approximated Nonlinear Feedback Linearization (근사 비선형 궤환 선형화를 이용한 도립 진자 계통의 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.3
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    • pp.372-384
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    • 1993
  • The inverted pendulum system has interesting and challenging problems related to robotics and rocket attitude control view of both control theory and applications. Generally approximately linearized plant models are employed to control the system. In this paper a recently developed control theory based on differentiable manifold theory is used to control the inverted pendulum system which is typically nonlinear. First, the nonlinear model is transformed into the approximate feedback linearized system by nonlinear state feedback. Secondly, the linear controller is designed using the pole-placement method for the approximate feedback linearized plant model, the output of which are finally inverse-transformed to yield the control input to the actual system of the inverted pendulum. The proposed method is evaluated by the computer simulation to compare with the 3rd order linearization model.

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Locally Optimal and Robust Backstepping Design for Systems in Strict Feedback Form with $C^1$ Vector Fields

  • Back, Ju-Hoon;Kang, Se-Jin;Shim, Hyung-Bo;Seo, Jin-Heon
    • International Journal of Control, Automation, and Systems
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    • v.6 no.3
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    • pp.364-377
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    • 2008
  • Due to the difficulty in solving the Hamilton-Jacobi-Isaacs equation, the nonlinear optimal control approach is not very practical in general. To overcome this problem, Ezal et al. (2000) first solved a linear optimal control problem for the linearized model of a nonlinear system given in the strict-feedback form. Then, using the backstepping procedure, a nonlinear feedback controller was designed where the linear part is same as the linear feedback obtained from the linear optimal control design. However, their construction is based on the cancellation of the high order nonlinearity, which limits the application to the smooth ($C^{\infty}$) vector fields. In this paper, we develop an alternative method for backstepping procedure, so that the vector field can be just $C^1$, which allows this approach to be applicable to much larger class of nonlinear systems.