• Title/Summary/Keyword: Input output Feedback linearization

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Switching Control of Ball and Beam System using Partial State Feedback: Jacobian and Two-Step Linearization Methods (자코비안 및 2단 선형화 기법과 부분 상태궤환을 이용한 볼-빔 시스템의 스위칭 제어)

  • Lee, Kyung-Tae;Choi, Ho-Lim
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.5
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    • pp.819-832
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    • 2017
  • We propose a new switching control scheme for a ball and beam system by utilizing two linearization methods. First, the Jacobian linearization is applied and state observer is developed afterward. Then, motivated [6], the approximate input-output linearization is carried out, and after that, the Jacobian linearization is applied along with the design of state observer. Since the second approach requires two linearizations, it is called a two-step linearization method. The state observer is needed for the estimation of the velocities of ball and motor movement. Since the Jacobian linearization based controller tends to provide faster response at the initial time, and after that, the two-step linearization based controller tends to provide better response in terms of output overshoot and convergence to the origin, it is natural to give a switching control scheme to provide the best overall control response. The validity of our control scheme is shown in both simulation and experimental results.

Design of Input-Output Feedback Linearization Controller using Neural Network (신경회로망을 이용한 입력-출력 피드백 선형화 제어기 설계)

  • Cho, Gyu-Sang
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.936-938
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    • 1999
  • In this Paper, the design of a feedback linearization controller using multilayer neural network is proposed. The Proposed feedback linearization control scheme is designed by finding Lie derivatives from an identified neural networks. Lie derivatives are expressed as a combination of weights and neuron outputs. The proposed method is applied to an antenna arm problem and the simulation results show performance comparisons between the ordinary feedback linearization and the Proposed method.

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Advanced Control of Three-Phase Four-Wire Inverters using Feedback Linearization under Unbalanced and Nonlinear Load Conditions (불평형 비선형 부하시 궤환선형화 기법을 이용한 3상 4선식 인버터의 제어 성능 개선)

  • Vo, Nguyen Qui Tu;Lee, Dong-Choon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.18 no.4
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    • pp.333-341
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    • 2013
  • In this paper, a feedback linearization control is proposed to regulate the output voltages of a three-phase four-wire inverter under the unbalanced and nonlinear load conditions. First, the nonlinear model of system including the output LC filters is derived in the d-q-0 synchronous reference frame. Then, the system is linearized by the multi-input multi-output feedback linearization. The tracking controllers for d-q-0-components of three-phase line-to-neutral load voltages are designed by linear control theory. The experimental results have shown that the proposed control method gives the good performance in response to the load conditions.

Nonlinear Controller and Observer Design for Ball and Beam (볼빔에 대한 비선형 제어기 및 관측기 설계)

  • 임규만
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2001.06a
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    • pp.125-128
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    • 2001
  • In this paper, We proposed the nonlinear controller and observer design for a ball and beam system. Unfortunately, for the ball and beam system, the control coefficient is zero whenever the angular velocity or ball position are zero. Therefore, the relative degree of the ball and beam system is not well defined. The presented the nonlinear controller and observer design is based on the approximation input-output feedback linearization. And we verified that the proposed nonlinear controller and observer scheme is the feasible through a computer simulation.

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Equivalent classes of decouplable and controllable linear systems

  • Ha, In-Joong;Lee, Sung-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.405-412
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    • 1992
  • The problem we consider in this paper is more demanding than the problem of input-output linearization with state equivalence recently solved by Cheng, Isidori, Respondek, and Tarn. We request that the MIMO nonlinear system, for which the problem of input-output linearization with state-equivalence is solvable, can be decoupled. In exchange for further requirement like this, our problem produces more usable and informative results than the problem of input-output linearization with state-equivalence. We present the necessary and sufficient conditions for our problem to be solvable. We characterize each of the nonlinear systems satisfying these conditions by a set of parameters which are invariant under the group action of state feedback and transformation. Using this set of parameters, we can determine directly the unique one, among the canonical forms of decouplable and controllable linear systems, to which a nonlinear system can be transformed via appropriate state feedback and transformation. Finally, we present the necessary and sufficient conditions for our problem to be solvable with internal stability, that is, for stable decoupling.

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Application of nonlinear control via output redefinition to missile autopilot (출력재정의를 통한 비선형제어 기법의 미사일 오토파일롯 응용)

  • 류진훈;탁민제
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1496-1499
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    • 1996
  • A nonlinear tracking control technique developed for the control of nonlinear systems has been applied to the autopilot design of missile system. The difficulties in the application of inversion based control methods such as input-output feedback linearization and sliding mode control due to nonminimum phase characteristics are discussed. To avoid the stability problem associated with unstable zero dynamics, the input-output feedback linearization is applied with output-redefinition method to normal acceleration control. The output-redefinition method gives an indirect way to apply the nonlinear controls to nonminimum phase plants by redefining the plant output such that the tracking control of the modified output ensures the asymptotic tracking of the original output. The numerical simulation shows satisfactory results both for nominal and for slightly perturbed missile systems adopting the sliding mode control technique. However, the robustness problem in this method is briefly investigated and verified with the simulation.

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Power system stabilization via adaptive feedback linearization (비선형 적응제어를 이용한 전력계통 안정화)

  • 윤태웅;이도관
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1221-1224
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    • 1996
  • As in most industrial processes, the dynamic characteristics of an electric power system are subject to changes. Amongst those effects which cause the system to be uncertain, faults on transmission lines are considered. For the stabilization of the power system, we present an indirect adaptive control method, which is capable of tracking a sudden change in the effective reactance of a transmission line. As the plant dynamics are nonlinear, an input-output feedback linearization method is combined with an identification algorithm which estimates the effect of a fault.

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A Study on an Input-Output Controller Based on the Time-Scale Properties of an Underwater Vehicle Dynamics (수중 운동체의 운동 특성을 고려한 입/출력 제어기 구성에 관한 고찰)

  • Jo, Gyung-Nam;Seo, Dong-C.;Choi, Hang-S.
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.5
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    • pp.469-476
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    • 2008
  • In this paper, it is shown that an input-output (I/O) feedback linearized controller can be designed rationally by utilizing the time-scale properties of heave and pitch for an underwater vehicle. It is assumed that the dynamics of the vehicle is restricted to the vertical plane. An output-feedback control is designed, which stabilizes steady cruising paths. It is shown that the vehicle dynamics with acceleration as output becomes minimum phase. The dynamics can be transformed into a reduced system through a kind of partial linearization and singular perturbation technique. The reduced system is not only minimum phase but also exactly I/O linearizable via feedback. The I/O dynamic characteristics of the heave and pitch modes can be made linear and decoupled. Furthermore it becomes independent of cruising condition such as vehicle velocity. This study may help for designing autopilot systems for underwater vehicles.

A CLASS OF ASYMPTOTICALLY STABILIZING STATE FEEDBACK FOR UNCERTAIN NONLINEAR SYSTEMS

  • Hashimoto, Yuuki;Wu, Hansheng;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.271-274
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    • 1995
  • This paper is concerned with the problem of robust stabilization of uncertain single-input and single-output nonlinear systems. Based on the input/output linearization approach for nonlinear state feedback synthesis in conjunction with Lyapunov methods, a stabilizing state feedback controller is proposed. Compared with the controllers reported in the control literature, instead of uniform ultimate boudedness, the controller proposed in this paper can guarantee uniform asymptotic stability of nonlinear systems in the presence of uncertainties. The required information about uncertain dynamics in the system is only that the uncertainties are bounded in Euclidean norm by known functions of the system state.

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