• 제목/요약/키워드: Lyapunov Stability Analysis

검색결과 236건 처리시간 0.03초

디지털 신호처리기를 사용한 산업용 로버트의 실시간 적응제어기 설계 (Design of a Real Time Adaptive Controller for Industrial Robot Using Digital Signal Processor)

    • 한국생산제조학회지
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    • 제5권4호
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    • pp.26-37
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    • 1996
  • This paper presents a new approach to the design of adaptive control system using DSPs(TMS320C30) for robotic manipulators to achieve trajectory tracking by the joint angles Digital signal processors are used in implementing real time adaptive control algorithms to provide an enhanced motion control for robotic manipulators. In the proposed control scheme adaptation laws are derived from the improved Lyapunov second stability analysis method based on the adaptive model reference control theory. The adaptive controller consists of an adaptive feedforward controller. feedback controller. and PID type time-varying auxiliary control elements. The proposed adaptive control scheme is simple in structure, fast in computation, and suitable for implementation of real-time control. Moreover, this scheme does not require a an accurate dynamic modeling, nor values of manipulator parameters and payload. Performance of the adaptive controller is illustrated by simulation and experimental results for a SCARA robot.

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PI 형 도갈법칙을 가지는 가변구조 제어 (A variable structure controller with a PI-type reaching law)

  • 전경한;이연정;최봉열
    • 제어로봇시스템학회논문지
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    • 제3권3호
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    • pp.214-218
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    • 1997
  • We propose a VSC(Variable Structure Controller) with a PI-type reaching law. In General, conventional VSCs with a reaching law including a discontinuous term have the chattering problem, and thus the system may be unstable due to the disregarded high frequency dynamics in the modeling process. To resolve this problem, the PI-type reaching law is proposed in this paper. The proposed reaching law makes it easy to determine the reaching dynamics as well as the reaching time by utilizing the 2nd-order system analysis. Furthermore, since the discontinous term is not involved in the reaching law, the chattering is considerably reduced. To show the effectiveness of the proposed scheme, the stability of the proposed system is proved by Lyapunov method and the computer simulations are performed for the Ball Balance System.

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Observer Based Nonlinear State Feedback Control of PEM Fuel Cell Systems

  • Kim, Eung-Seok
    • Journal of Electrical Engineering and Technology
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    • 제7권6호
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    • pp.891-897
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    • 2012
  • In this paper, the observer based nonlinear state feedback controller has been developed to control the pressures of the oxygen and the hydrogen in the PEM(Proton Exchange Membrane) fuel cell system. Nonlinear model of the PEM fuel cell system was introduced to study the design problems of the state observer and model based controller. A cascade observer using the filtering technique was used to estimate the pressure derivatives of the cathode and the anode in the system. In order to estimate the pressures of the cathode and the anode, the sliding mode observer was designed by using these pressure derivatives. To estimate the oxygen pressure and the hydrogen pressure in the system, the nonlinear state observer was designed by using the cathode pressure estimates and the anode it. These results will be very useful to design the state feedback controller. The validity of the proposed observers and the controller has been investigated by using the Lyapunov's stability analysis strategy.

피드백 선형화를 이용한 L1 적응제어기법 연구 (L1 Adaptive Controller Augmented with Feedback Linearization)

  • 김낙완;유창선;강영신
    • 한국항공우주학회지
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    • 제36권6호
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    • pp.558-564
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    • 2008
  • 적응제어신호를 저역필터에 통과시켜 점근적 추종과 과도구간 성능을 동시에 보장하는 적응제어 기법과 비선형 시스템을 선형 시불변 형태로 변환하는 피드백 선형화 기법을 결합하여 적응제어 기법의 적용가능 범위를 확대하였다. Barbalat의 보조정리를 이용하여 추종오차가 0으로 수렴함을 증명하고 과도구간의 추종오차도 원하는 크기로 감소시킬 수 있음을 보였다.

퍼지-슬라이딩 모드 적응제어기에 의한 유도기 속도제어 (Speed Control of Induction Motor Using Fuzzy-Sliding Adaptive Controller)

  • 윤병도;김윤호;김찬기;양성진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 A
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    • pp.331-333
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    • 1995
  • A high performance motor drive system must have a good speed command tracking, a insensitivity to a parameter variation and sampling time. In this paper, a robust speed controller for an induction motor is proposed. The speed controller is fuzzy-sliding adaptive controller and its system continuously is varied. That is, only P gain act in dynamic state, I gain in steady-state. Because this system is a sort of adaptive control system, global stability analysis is used to Lyapunov function. Consequently, in this paper application of fuzzy sliding adaptive controller to induction motor controlled by vecter control is presented and the control system is digitally implemented within DSP.

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Observer-based Distributed Consensus Algorithm for Multi-agent Systems with Output Saturations

  • Lim, Young-Hun;Lee, Gwang-Seok
    • Journal of information and communication convergence engineering
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    • 제17권3호
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    • pp.167-173
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    • 2019
  • This study investigates the problem of leader-following consensus for multi-agent systems with output saturations. This study assumes that the agents are described as a neutrally stable system, and the leader agent generates the bounded trajectory within the saturation level. Then, the objective of the leader-following consensus is to track the trajectory of the leader by exchanging information with neighbors. To solve this problem, we propose an observer-based distributed consensus algorithm. Then, we provide a consensus analysis by applying the Lyapunov stability theorem and LaSalle's invariance principle. The result shows that the agents achieve the leader-following consensus in a global sense. Moreover, we can achieve the consensus by choosing any positive control gain. Finally, we perform a numerical simulation to demonstrate the validity of the proposed algorithm.

Design of a DSP-Based Adaptive Controller for Real Time Dynamic Control of AM1 Robot

  • S. H. Han;K. S. Yoon;Lee, M. H.;Kim, S. K.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.100-104
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    • 1998
  • This paper describes the real-time implementation of an adaptive controller fur the robotic manipulator. Digital signal processors(DSPs) are special purpose micro-processors that are particularly powerful for intensive numerical computations involving sums and products of variables. TMS320C50 chips are used in implementing real time adaptive control algorithms to provide an enhanced motion for robotic manipulators. In the proposed scheme, adaptation laws are derived from the improved Lyapunov second stability analysis based on the direct adaptive control theory. The adaptive controller consists of an adaptive feedforward controller and feedback controller. The proposed control scheme is simple in structure, fast in computation, and suitable for real-time control. Moreover, this scheme does not require any accurate dynamic modeling, nor values of manipulator parameters and payload. Performance of the adaptive controller is illustrated by simulation and experimental results for a assembling robot.

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New Backstepping-DSOGI hybrid control applied to a Smart-Grid Photovoltaic System

  • Nebili, Salim;Benabdallah, Ibrahim;Adnene, Cherif
    • International Journal of Computer Science & Network Security
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    • 제22권4호
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    • pp.1-12
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    • 2022
  • In order to overcome the power fluctuation issues in photovoltaic (PV) smart grid-connected systems and the inverter nonlinearity model problem, an adaptive backstepping command-filter and a double second order generalized Integrators (DSOGI) controller are designed in order to tune the AC current and the DC-link voltage from the DC side. Firstly, we propose to present the filter mathematical model throughout the PV system, at that juncture the backstepping control law is applied in order to control it, Moreover the command filter is bounded to the controller aiming to exclude the backstepping controller differential increase. Additionally, The adaptive law uses Lyapunov stability criterion. Its task is to estimate the uncertain parameters in the smart grid-connected inverter. A DSOGI is added to stabilize the grid currents and eliminate undesirable harmonics meanwhile feeding maximum power generated from PV to the point of common coupling (PCC). Then, guaranteeing a dynamic effective response even under very unbalanced loads and/or intermittent climate changes. Finally, the simulation results will be established using MATLAB/SIMULINK proving that the presented approach can control surely the smart grid-connected system.

NONLINEAR CONTROL FOR CORE POWER OF PRESSURIZED WATER NUCLEAR REACTORS USING CONSTANT AXIAL OFFSET STRATEGY

  • ANSARIFAR, GHOLAM REZA;SAADATZI, SAEED
    • Nuclear Engineering and Technology
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    • 제47권7호
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    • pp.838-848
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    • 2015
  • One of the most important operations in nuclear power plants is load following, in which an imbalance of axial power distribution induces xenon oscillations. These oscillations must be maintained within acceptable limits otherwise the nuclear power plant could become unstable. Therefore, bounded xenon oscillation is considered to be a constraint for the load following operation. In this paper, the design of a sliding mode control (SMC), which is a robust nonlinear controller, is presented.SMCis ameansto control pressurized water nuclear reactor (PWR) power for the load following operation problem in a way that ensures xenon oscillations are kept bounded within acceptable limits. The proposed controller uses constant axial offset (AO) strategy to ensure xenon oscillations remain bounded. The constant AO is a robust state constraint for the load following problem. The reactor core is simulated based on the two-point nuclear reactor model with a three delayed neutron groups. The stability analysis is given by means of the Lyapunov approach, thus the control system is guaranteed to be stable within a large range. The employed method is easy to implement in practical applications and moreover, the SMC exhibits the desired dynamic properties during the entire output-tracking process independent of perturbations. Simulation results are presented to demonstrate the effectiveness of the proposed controller in terms of performance, robustness, and stability. Results show that the proposed controller for the load following operation is so effective that the xenon oscillations are kept bounded in the given region.

이중여자 유도발전기 기반 풍력발전 시스템의 퍼지 모델링 및 안정도 해석 (Fuzzy Modeling and Stability Analysis of Wind Power System with Doubly-fed Induction Generator)

  • 김진규;주영훈
    • 한국지능시스템학회논문지
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    • 제22권1호
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    • pp.56-61
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    • 2012
  • 본 논문에서는 이중여자 유도발전기 기반 가변속도 풍력발전 시스템의 퍼지 모델링 및 안정도 해석에 관하여 다루고자 한다. 일반적인 풍력발전 시스템은 복잡한 비선형성 기반 동적방정식으로 구성되며, 플랜트를 구성하는 각 파라미터 수치 역시 주변 환경에 의해 변화할 여지가 있다. 풍력발전 시스템의 해석을 위하여 본 논문에서는 비선형성 및 불확실성에 강인한 퍼지 제어 기법을 기반으로 제어이론을 구성하고자 한다. 이중여자 유도발전기 기반 풍력발전 시스템의 퍼지 모델링 및 시스템 안정화를 위한 퍼지 제어기 설계 기법이 제안된다. 해당 제어 기법은 리아푸노프 기반 안정도 해석에 의해 점근 안정도를 보장받게 되며, 가상 시뮬레이션을 통한 시스템 효율성을 입증하게 된다.