• 제목/요약/키워드: Robust Relative Degree

검색결과 25건 처리시간 0.025초

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

  • 박동원;김우철;김정식;최승복
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
    • /
    • pp.1213-1218
    • /
    • 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.

  • PDF

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

  • 조남훈
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제53권9호
    • /
    • pp.630-637
    • /
    • 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
    • /
    • 제어로봇시스템학회 2003년도 ICCAS
    • /
    • pp.78-83
    • /
    • 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.

  • PDF

Adaptive Robust Output Tracking for Nonlinear MMO Systems

  • Im, Kyu-Mann
    • 융합신호처리학회 학술대회논문집
    • /
    • 한국신호처리시스템학회 2003년도 하계학술대회 논문집
    • /
    • pp.177-182
    • /
    • 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.

  • PDF

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

  • 박동원;최승복;김재문
    • 대한기계학회논문집
    • /
    • 제18권8호
    • /
    • pp.1985-1996
    • /
    • 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.

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

  • Lee, Gun-Bok
    • 대한전기학회논문지
    • /
    • 제45권2호
    • /
    • pp.273-282
    • /
    • 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.

  • PDF

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

  • 손영익;심형보;조남훈
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제52권4호
    • /
    • pp.189-197
    • /
    • 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
    • /
    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
    • /
    • pp.445-450
    • /
    • 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.

  • PDF

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

  • 임규만;양명섭
    • 융합신호처리학회논문지
    • /
    • 제2권1호
    • /
    • pp.95-100
    • /
    • 2001
  • 본 논문에서는 불확실성을 갖는 비선형 시스템에 제어기를 설계하기 위해서 출력제환 선형화 방법을 통하여 비선형 시스템을 선형시스템으로 변환하고 슬라이딩 모드 제어기법을 사용하여 파라미터들을 갱신하고 이를 통하여 제어입력을 갱신하는 강인성제어기를 제안하고자 한다. 비선형시스템은 최소 위상시스템이고, 시스템의 상대차수는 r<n 이며, 제로 다이나믹스는 안정하다고 가정한다. 제안된 제어기에 대해서 대역적 점근적 안정도가 보장됨을 보였으며, 제안된 제어기에 대해서 컴퓨터 시뮬레이션을 통하여 타당성을 검증하였다.

  • PDF

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

  • 김유승;양호석;이건복
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 2002년도 춘계학술대회 논문집
    • /
    • pp.543-550
    • /
    • 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.

  • PDF