• 제목/요약/키워드: Lyapunov Function

검색결과 494건 처리시간 0.024초

건설장비용 동력전달계의 관성영역에서의 자기학습 제어기법 (Self-Learning Supervisory Control of a Power Transmission System in a Construction Vehicle during Inertia Phase)

  • 최길우;한진오;허재웅;조영만;이교일
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.723-729
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    • 2001
  • Electro-hydraulic shift control of a vehicle automatic transmission has been predominantly carried out via an open-loop control based on numerous time-consuming calibrations. Despite remarkable success in practice, the variations of system characteristics inevitably deteriorate the performance of the tuned open-loop controller. As a result, the controller parameters need to be continuously updated in order to maintain satisfactory shift quality. This paper presents a self-learning algorithm for automatic transmission shift control in a construction vehicle during inertia phase. First, an observer reconstructs the turbine acceleration signal (impossible to measure in a construction vehicle) from the readily accessible turbine speed measurement. Then, a control algorithm based on a quadratic function of the turbine acceleration is shown to guarantee the asymptotic convergence (within a specified target bound) of the error between the actual and the desired turbine accelerations. A Lyapunov argument plays a crucial role in deriving adaptive laws for control parameters. The simulation and hardware-in-the-loop simulation (HILS) studies show that the proposed algorithm actually delivers the promise of satisfactory performance despite the system characteristics variations and uncertainties.

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탄성매니퓰레이터의 고성능 제어기 설계에 관한 연구 (A Study on High Performance Controller Design of Elastic Maniplator)

  • 이지우;한성현;이만형
    • 한국정밀공학회지
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    • 제9권3호
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    • pp.73-82
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    • 1992
  • An industrial robot, installed real manufacturing processes an element of the system autmation, can be considered as an uncertain system due to dynamic uncertainties in inertial parameters and varying payloads. Most difficuties in controlling a robot manipulator are caused by the fact that the dynamic equations describing the motions of the manipulator are inherently nonlinear and heavily coupled effects between joints and associated links. Existing robot conrol systems have constant predefined gains and do not cover the complex dynamic interactions between manipulator joints. As a result, the manipulator is severly limited in range of application, speed of operation and variation of payload. The proposed controller is operated by adjusting its gains based on the response of the manipulator in such a way that the manipulator closely matches the reference model trajectories defined by the desinger. The proposed manipulator studied has two loops, an inner loop of model reference adaptive controller and an outer loop of state feedback controller with integral action to guarantee the stability of the adaptive scheme. This adaptation algorithm is based on the hyperstailiy approach with an improved Lyapunov function. The coupling among joints and the nonlinearity in the dynamic equation are explicitly considered. The designed manipulator controller shows good tracking performance in practical working environment, various load variations and parameter uncertainties.

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마찰력 및 리플력 추정을 통한 리니어 모터의 비선형 적응제어 (Nonlinear Adaptive Control for Linear Motor through the Estimation of Friction Forces and Force Ripples)

  • 김홍빈;이병휘;한상오;허건수
    • 대한기계학회논문집A
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    • 제31권1호
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    • pp.18-25
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    • 2007
  • Linear motor is easily affected by load disturbance, force ripple, friction, and parameter variations because there is no mechanical transmission to reduce the effects of model uncertainties and external disturbance. These nonlinear effects have been reduced for high-speed/high-accuracy position control either through the better motor design or via the better control algorithm that can compensate the nonlinear effects. In this paper, a nonlinear adaptive control algorithm is designed and applied for the position control of permanent magnet linear synchronous motor. In order to estimate and compensate the nonlinear effects such as friction and force ripple, the estimation and the nonlinear adaptive control laws are derived based on the virtual control input and a suitable Lyapunov function. The proposed controller is evaluated through the computer simulations. The control algorithm is also implemented to a DSP board and interfaced to the PMLSM for verifying the realtime control performance.

상태 궤환을 이용한 H 반복 제어 시스템 설계 (Design of H Repetitive Control Systems using State Feedback)

  • 도태용
    • 제어로봇시스템학회논문지
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    • 제20권1호
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    • pp.6-11
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    • 2014
  • Repetitive control is a specialized control scheme to track and/or attenuate a periodic reference trajectory and/or disturbance. Most researches about repetitive control have been performed in the frequency domain. Recently, several approaches to deal with repetitive control systems in the state space are developed by representing a q filter as a state-space equation. This paper presents a design method of a repetitive control system in the state space to satisfy $H_{\infty}$ performance. The overall system is composed of a plant, a repetitive controller, and a state-feedback controller, which can be converted to a standard form used in $H_{\infty}$ control. A LMI (Linear Matrix Inequality)-based stability condition is derived for fixed state-feedback gains. Under a given q filter, another LMI condition is derived to improve $H_{\infty}$ performance and is employed to find state-feedback gains by solving an optimization problem. Finally, to verify the feasibility of the proposed method, a numerical example is demonstrated.

제어불가능 불안정 선형화를 가지는 비선형 시스템에 대한 다이나믹 안정화 (Dynamic Stabilization for a Nonlinear System with Uncontrollable Unstable Linearization)

  • 서상보;심형보;서진헌
    • 전자공학회논문지SC
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    • 제46권4호
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    • pp.1-6
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    • 2009
  • 본 논문에서 우리는 비선형 시스템에 대한 다이나믹 스무스 상태 궤환 안정화기를 설계한다. 이 시스템은 우반평면에 고유값이 존재함으로 제어불가능 모드를 가질 수 있다. 이 시스템을 지수적으로 안정화하기 위해서 우리는 추가 다이나믹스를 고려한 다이나믹 제어기를 제안한다. 추가 다이나믹스의 설계 후에 다이나믹 차수 보정법과 역진기법을 이용하여 안정화기와 미분 가능, positive definite, proper인 리아푸노프 함수를 설계한다. 설계된 제어기의 수렴성은 차수 지표자라는 새로운 개념의 도입으로 증명될 것이다.

Quasi-LQG/$H_{infty}$/LTR Control for a Nonlinear Servo System with Coulomb Friction and Dead-zone

  • Han, Seong-Ik
    • International Journal of Precision Engineering and Manufacturing
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    • 제1권2호
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    • pp.24-34
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    • 2000
  • In this paper we propose a controller design method, called Quasi-LQG/$H_{\infty}$/LTR for nonlinear servo systems with hard nonlinearities such as Coulomb friction, dead-zone. Introducing the RIDF method to model Coulomb friction and dead-zone, the statistically linearized system is built. Then, we consider $H_{\infty}$ performance constraint for the optimization of statistically linearized systems, by replacing a covariance Lyapunov equation into a modified Riccati equation of which solution leads to an upper bound of the LQG performance. As a result, the nonlinear correction term is included in coupled Riccati equation, which is generally very difficult to thave a numerical solution. To solve this problem, we use the modified loop shaping technique and show some analytic proofs on LTR condition. Finally, the Quasi-LQG/$H_{\infty}$/LTR controller for a nonlinear system is synthesized by inverse random input describing function techniques (ITIDF). It is shown that the proposed design method has a better performance robustness to the hard nonlinearity than LQG/$H_{\infty}$/LTR method via simulations and experiments for the timing-belt driving servo system that contains the Coulomb friction and dead-zone.

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신경회로망 기반의 적응제어기를 이용한 AUV의 운동 제어 (Motion Control of an AUV Using a Neural-Net Based Adaptive Controller)

  • 이계홍;이판묵;이상정
    • 한국해양공학회지
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    • 제16권1호
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    • pp.8-15
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    • 2002
  • This paper presents a neural net based nonlinear adaptive controller for an autonomous underwater vehicle (AUV). AUV's dynamics are highly nonlinear and their hydrodynamic coefficients vary with different operational conditions, so it is necessary for the high performance control system of an AUV to have the capacities of learning and adapting to the change of the AUV's dynamics. In this paper a linearly parameterized neural network is used to approximate the uncertainties of the AUV's dynamic, and the basis function vector of network is constructed according to th AUV's physical properties. A sliding mode control scheme is introduced to attenuate the effect of the neural network's reconstruction errors and the disturbances in AUV's dynamics. Using Lyapunov theory, the stability of the presented control system is guaranteed as well as the uniformly boundedness of tracking errors and neural network's weights estimation errors. Finally, numerical simulations for motion control of an AUV are performed to illustrate the effectiveness of the proposed techniques.

이산 가변구조제어기를 이용한 자율무인잠수정의 심도제어 (Depth Control of an Autonomous Underwater Vehicle with System Uncertainties Based on Discrete Variable Structure System)

  • 이판묵;홍석원;전봉환
    • 한국해양공학회지
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    • 제11권4호
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    • pp.169-179
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    • 1997
  • This paper presents a discrete-time sliding mode control of an autonomous underwater vehicle with parameter uncertainties and long sample interval based on discrete variable structure system. Although conventional sliding mode montrol techniques are robust to system uncertainties, in the case of the system with long sample interval, the sliding control system reveals chattering phenomenon and even makes the system unstable. This paper considers the AUV which acquires position informations from a surface ship through an acoustic telemetry system with a certain discrete interval. The control system is designed on the basis of a Lyapunov function and a sufficient condition of the switching gain to make the system stable is give. Each component of the switching gain can be determined separately one another. The controller is robust to the uncertainties, and reaching condition of the control system is satisfied for any initial condition. This control law is a generalized form of the discrete sliding mode control and reduce the chattering problem considerably. Motion control of the AUV in the vertical plane shows the effectiveness of the proposed technique.

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MRAS를 이용한 매입형 영구자석 동기전동기의 상수 추정 및 적응제어기법 (Parameter estimation of permanent magnet synchronous motor and adaptive control by MRAS)

  • 양현석
    • 한국산학기술학회논문지
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    • 제17권2호
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    • pp.697-702
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    • 2016
  • 매입형 영구자석 동기전동기의 원활한 제어를 위해서는 전동기의 상수인 고정자 저항이나 각종 인덕턴스의 값, 그리고 쇄교 자속의 값 등을 정확하게 알아야 한다. 그러나 이러한 상수들은 전동기 운행에 따른 전동기 온도의 상승이나 각 작동점 등의 변화에 따라 계속적으로 변하기 때문에 이들의 값을 정확하게 추정하는 것은 매우 어렵다. 이러한 문제점을 극복하기 위해서 실시간으로 상수의 값을 추정하는 기법이 필요한데 본 논문에서는 MRAS(Model Reference Adaptive System) 기법을 이용한 상수의 추정 및 적응제어 기법을 제시한다. 시스템의 관계식이 이들 상수에 대해 비선형으로 구성되어 있어 일반적인 제어기법을 적용하는데 문제가 있어 일부 논문에서는 상수의 일부를 안다고 가정하였지만 본 논문에서는 이러한 가정 없이 모든 상수를 추정하는 제어기법을 제시하고 적응제어 기법의 수렴성을 입증하였다. 제시하는 알고리즘의 우수성은 시뮬레이션을 통해 입증하도록 한다.

특이섭동을 포함한 타카기 - 수게노 형태의 비선형 시스템을 위한 새로운 샘플치 제어기의 설계기법 제안 (Sampled-Data Controller Design for Nonlinear Systems Including Singular Perturbation in Takagi-Sugeno Form)

  • 문지현;이재준;이호재
    • 한국지능시스템학회논문지
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    • 제26권1호
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    • pp.50-55
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    • 2016
  • 본 논문은 특이섭동을 포함한 비선형 시스템을 위한 샘플치 제어 기법을 논한다. 비선형 시스템은 타카기--수게노(Takagi--Sugeno: T--S) 퍼지모델 형태로 표현됨을 가정한다. 새로운 리아푸노프 함수와 추가적인 항등식을 이용하여 선형행렬부등식 형태의 샘플치 폐루프 T--S 퍼지시스템의 점근적 안정도 조건을 제시한다. 분석결과에 대한 몇 가지 논의점을 언급한다. 모의실험에 의하여 제안된 기법의 타당성을 보인다.