• Title/Summary/Keyword: Robust Relative Degree

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Robust sliding mode control of nonlinear uncertain system via geometric approach (기하학적 접근에 의한 비선형 불확실성 시스템에 대한 강건한 슬라이딩 모드 제어)

  • 박동원;김우철;김정식;최승복
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1213-1218
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    • 1993
  • Variable structure control is applied to the robust output tracking control problem of general nonlinear multi-input multi-output (MIMO) systems. Using the concept of relative degree and minimum phase, input/output(I/O) linearization is undertaken. For I/O the linearized system, a new sliding hyperplanes design method is proposed. In this procedure, we can construct very robust and efficient sliding mode controller for general nonlinear systems of relative degree higher than two. The control results are illustrated by adopting a numerical example.

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A Nonlinear Reduced Order Observer Design and Its Application to Ball and Beam System (비선형 저차화 관측기의 설계기법 및 구보시스템에의 적용)

  • 조남훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.9
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    • pp.630-637
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    • 2004
  • In this paper, we present a local reduced-order observer for a class of nonlinear systems that have full robust relative degree. The proposed observer utilizes the coordinate change which transforms a nonlinear system into an approximate normal form. The proposed reduce order observer is applied to a ball and beam system, and simulation results show that substantial improvement in the performance was achieved compared with the jacobian linearization observers.

Robust Adaptive Output Feedback Control for Nonlinear Systems with Higher Order Relative Degree

  • Michino, Ryuji;Mizumoto, Ikuro;Tao, Yuichi;Iwai, Zenta;Kumon, Makoto
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.78-83
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    • 2003
  • In this paper, it is dealt with a controller design problem for nonlinear systems with higher order relative degree. A robust adaptive control for uncertain nonlinear systems with stable zero dynamics will be proposed based on the high-gain adaptive output feedback and backstepping strategies. The proposed method is useful in the case where only the output signal is available.

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Adaptive Robust Output Tracking for Nonlinear MMO Systems

  • Im, Kyu-Mann
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.177-182
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    • 2003
  • The robust output tracking control problem of general nonlinear MIMO systems is discussed. The robustness against parameter uncertainties is considered. In this paper, we proposed the robust output tracking control scheme for a class of MIMO nonlinear dynamical systems using output feedback linearization method. The presented control scheme is based on the VSS. We assume that the nonlinear dynamical system is minimum phase, the relative degree of the system is r$_{1}$+r$_{2}$+…r$_{m}$$\leq$ n and zero dynamics is stable. It is shown that the outputs of the closed-loop system asymptotically track given output trajectories despite the uncertainties while maintaining the boundedness of all signals inside the loop. And we verified that the proposed control scheme is then applied to the control of a two degree of freedom (DOF) robotic manipulator with payload.d.

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Design of Sliding Hyperplanes in Nonlinear Variable Structure Systems with Uncertainties (불확실성을 갖는 비선형 가변구조시스템의 슬라이딩 초평면 설계)

  • 박동원;최승복;김재문
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1985-1996
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    • 1994
  • A new design method of sliding hyperplanes is proposed in the synthesis of a variable structure controller for robust tracking of general nonlinear multi-input-output(MIMO) uncertain systems of relative degree higher than two. Input/ output(I/O) linearzation is firstly undertaken by employing the concept of relative degree and minimum phase followed by the construction of sliding mode controllers. Sliding hyperplanes are then derived from the inherent properties of companion matrix and ideal sliding mode characterized in I/O linearized system. Subsequently, the gradient magnitudes of the sling hyperplanes are determined in an optimal manner by considering a quadratic performance index to be evaluated at two phases; a reaching phase and a sliding phase. The proposed design methodology is relatively straightforward and systematic compared with conventional strategies such as geometric approach or pole assignment technique. A nonlinear governor and exciter control problem for a power system is adopted herein in order to demonstrate the design efficiency and also favorable and robust control performances.

Robust output feedback control of LTI system using estimated output derivatives (출력 미분값의 추정에 의한 선형 시불변 시스템의 로버스트 출력 궤환 제어)

  • Lee, Gun-Bok
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.2
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    • pp.273-282
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    • 1996
  • This work is conceded with the estimation of output derivatives and their use for the design of robust controller for linear systems with system uncertainties due to modeling errors and disturbances. It is assumed that a nominal transfer function model and quantitative bounds for system uncertainties and known. The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted through restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Control)type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.

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Robust Controller Design of Non-Square Linear Systems and Its Applications (비정방 선형 시스템의 강인 제어기 설계 및 그 응용)

  • Son Young-Ik;Shim Hyungbo;Jo Nam-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.4
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    • pp.189-197
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    • 2003
  • The problem of designing a parallel feedforward compensator (PFC) is considered for a class of non-square linear systems such that the closed-loop system is strictly passive. If a given square system has (vector) relative degree one and is weakly minimum phase, the system can be rendered passive by a state feedback. However, when the system states are not always measurable and the given output is considered, passivation (i.e. rendering passive) of a non-minimum phase system or a system with high relative degree cannot be achieved by any other methodologies except by using a PFC. To passivate a non-square system we first determine a squaring gain matrix and design a PFC such that the composite system has relative degree one and is minimum phase. Then the system is rendered strictly passvie by a static output feedback law. Necessary and sufficient conditions for the existence of the PFC and the squaring gain matrix are given by the static output feedback formulation, which enables to utilize linear matrix inequality (LMI). As an application of the scheme, an alternative way of replacing the role of velocity measurements is provided for the PD-control law of a convey-crane system.

Development of a Robust Nonlinear Prediction-Type Controller

  • Park, Ghee-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.445-450
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    • 1998
  • In this paper, a robust nonlinear prediction-type controller (RNPC) is developed for the continuous time nonlinear system whose control objective is composed of system output and its desired value. The basic control law of RNPC is derived such that the future response of the system is first predicted by appropriate functional expansions and the control law minimizing the difference between the predicted and desired responses is then calculated. RNPC which involves two controls, i.e., the auxiliary and robust controls into the basic control, shows the stable closed loop dynamics of nonlinear system of any relative degree and provides the robustness to the nonlinear system with parameter/modeling uncertainty. Simulation tests for the position control of a two-link rigid body manipulator confirm the performance improvement and the robustness of RNPC.

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Robust Nonlinear Control for Minimum Phase Dynamic System by Using VSS (VSS 이론을 활용한 최소위상 비선형 시스템에 대한 강인성연구)

  • 임규만;양명섭
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.95-100
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    • 2001
  • In this paper, we proposed the robust control scheme for a class of nonlinear dynamical systems using output feedback linearization method. The presented control scheme is based on the VSS. We assume that the nonlinear dynamical system is minimum phase, the relative degree of the system is r<n and zero dynamics is stable. It is also shown that the global asymtotically stability is guaranted. And we verified that the proposed control scheme Is the feasible through a computer simulation.

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Estimation of Output Derivative of The System with Parameters Uncertainty (매개변수 불확실성이 있는 시스템의 출력미분치 추정)

  • 김유승;양호석;이건복
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.543-550
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    • 2002
  • This work is concerned with the estimation of output derivatives and their use for the design of robust controller for linear systems with systems uncertainties due to modeling errors and disturbance. It is assumed that a nominal transfer function model and Quantitative bounds for system uncertainties are known. The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted trough restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Controller) Type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.

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