• 제목/요약/키워드: Lyapunov Methods

검색결과 118건 처리시간 0.023초

Adaptive Feedback Linearization Control Based on Airgap Flux Model for Induction Motors

  • Jeon Seok-Ho;Baang Dane;Choi Jin-Young
    • International Journal of Control, Automation, and Systems
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    • 제4권4호
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    • pp.414-427
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    • 2006
  • This paper presents an adaptive feedback linearization control scheme for induction motors with simultaneous variation of rotor and stator resistances. Two typical modeling techniques, rotor flux model and stator flux model, have been developed and successfully applied to the controller design and adaptive observer design, respectively. By using stator fluxes as states, over-parametrization in adaptive control can be prevented and control strategy can be developed without the need of nonlinear transformation. It also decrease the relative degree for the flux modulus by one, thereby, yielding, a simple control algorithm. However, when this method is used for flux observer, it cannot guarantee the convergence of flux. Similarly, the rotor flux model may be appropriate for observers, but it is not so for adaptive controllers. In addition, if these two existing methods are merged into overall adaptive control system, it brings about structural complexies. In this paper, we did not use these two modeling methods, and opted for the airgap flux model which takes on only the positive aspects of the existing rotor flux model and stator flux model and prevents structural complexity from occuring. Through theoretical analysis by using Lyapunov's direct method, simulations, and actual experiments, it is shown that stator and rotor resistances converge to their actual values, flux is well estimated, and torque and flux are controlled independently with the measurements of rotor speed, stator currents, and stator voltages. These results were achieved under the persistent excitation condition, which is shown to hold in the simulation.

웨어러블 센싱 기반 고령자를 위한 보행 편의성 평가 (Walkability Evaluation for Elderly People using Wearable Sensing)

  • 양강혁;황성주;김현수
    • 대한건축학회논문집:계획계
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    • 제35권7호
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    • pp.119-126
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    • 2019
  • The active living of the elderly leads to improve their lives and enhance social networks. In the view of the active living, the walkability is an essential factor for the elderly's daily life. To support the active living, making age-friendly environment is important. Considering that the elderly mainly carry out activities through walking, making the age-friendly walking environment is a preliminary action. The existing studies applied various methods such as surveys by experts. In spite of the benefits in theirs, there is still a limitation that current walkability measurement methods did not incorporate the actual elderly's walking activity. Thus, the purposes of this study is to measure the elderly's walking quantitatively using a wearable sensor, and to investigate the feasibility of comparing several walking environments based on the data collected from the actual elderly's walking. To do this, experiment was conducted in four types environments with 22 senior subjects. The walkability was measured by walking stability represented quantitatively as Maximum Lyapunov Exponent (MaxLE). Through the experiment results, it was confirmed that the stability of the elderly walking was different according to the walking environment, which also meant that bodily responses (walking stability) is highly related to walkability. The results will provide an opportunity for the continuous diagnosis of walking environments, thereby enhancing the active living of the elderly.

Icevaning control of an Arctic offshore vessel and its experimental validation

  • Kim, Young-Shik;Kim, Jinwhan
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.208-222
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    • 2021
  • Managing with the presence of sea ice is the primary challenge in the operation of floating platforms in the Arctic region. It is widely accepted that offshore structures operating in Arctic conditions need station-keeping methods as well as ice management by icebreakers. Dynamic Positioning (DP) is one of the station-keeping methods that can provide mobility and flexibility in marine operations. The presence of sea ice generates complex external forces and moments acting on the vessel, which need to be counteracted by the DP system. In this paper, an icevaning control algorithm is proposed that enables Arctic offshore vessels to perform DP operations. The proposed icevaning control enables each vessel to be oriented toward the direction of the mean environmental force induced by ice drifting so as to improve the operational safety and reduce the overall thruster power consumption by having minimum external disturbances naturally. A mathematical model of an Arctic offshore vessel is summarized for the development of the new icevaning control algorithm. To determine the icevaning action of the Arctic offshore vessel without any measurements and estimation of ice conditions including ice drift, task and null space are defined in the vessel model, and the control law is formulated in the task space. A backstepping technique is utilized to handle the nonlinearity of the Arctic offshore vessel's dynamic model, and the Lyapunov stability theory is applied to guarantee the stability of the proposed icevaning control algorithm. Experiments are conducted in the ice tank of the Korea Research Institute of Ships and Ocean Engineering to demonstrate the feasibility of the proposed approach.

역최적화 방법을 이용한 강인한 퍼지 제어기의 설계 (Design of Robust Fuzzy Controllers via Inverse Optimal Approach)

  • 곽기호;임재환;박주영
    • 한국지능시스템학회논문지
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    • 제11권6호
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    • pp.477-486
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    • 2001
  • 본 논문은 TS(Takagi-Sugeno) 퍼지 모델로 근산 혹은 표현될 수 있는 비선형 시스템을 위한 TS 퍼지 제어기의 설계를 다룬다 본 논문에서 사용하는 주된 전략은, 안정도, 감쇠률 및 불확실성에 대한 강인성등의 설계요건을 만족시키는 리아푸노프 함수와 그에 대응하는 제어입력이 먼저결정된 후에 비용함수가 결정되는 역최적화 방법이다. 이러한 설계방법은, 설계요건뿐만 아니라 최적제어기 고유의 강인성까지 만족시키는 제어기를 제공하므로 매우 유용하다. 본 논문에서 확립되는 설계절차는 모두 선형행렬분등식을 푸는 형태로 이루어진다. 선형행렬부등식 문제는 내부점 방법에 의하여 주어진 허용 오차 이내에서 풀릴수 있으므로, 본 논문에서 제시하는 설계방법은 실용적인 특성을 갖는다. 제안된 설계 절차의 적용 방법은 설계 예제를 통하여 예시된다.

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파라미터 투영 기법이 필요 없는 비선형 시스템의 적응 퍼지 슬라이딩 모드 제어 (Adaptive Fuzzy Sliding Mode Control for Nonlinear Systems without Parameter Projection Method)

  • 서삼준
    • 한국지능시스템학회논문지
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    • 제21권4호
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    • pp.499-505
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    • 2011
  • 본 논문은 파라미터 투영 기법이 필요없는 비선형 계통에 대한 적응 퍼지 슬라이딩 모드 제어를 제안한다. 제어기의 구조를 약간 수정하여 추정된 입력 이득항이 영으로 되지 않도록 보장하고 온라인 동작중의 어떤 순간이라고 추정된 입력 이득항이 영이 되더라도 구현에 문제를 야기하지 않는다. 입력 이득 함수의 하한 추정치만이 필요한것을 제외하면 제안한 제어 기법은 바운딩 파라미터에 대한 정확한 값이 사전에 필요하지 않다. 리아프노프 합성기법을 기초로 전체 제어 시스템이 추종오차가 점근적으로 안정하고 제어기 내의 모든 신호가 유계임을 보장한다. 역진자 시스템의 적용하여 제안한 제어기의 유용성을 입증한다.

측후방 충돌 회피를 위한 조향 보조 토크 및 차등 제동 분배 제어 알고리즘 개발 (Development of a coordinated control algorithm using steering torque overlay and differential braking for rear-side collision avoidance)

  • 이준영;김동욱;이경수;유현재;정혁진;고봉철
    • 자동차안전학회지
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    • 제5권2호
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    • pp.24-31
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    • 2013
  • This paper describes a coordinated control algorithm for rear-side collision avoidance. In order to assist driver actively and increase driver's safety, the proposed coordinated control algorithm is designed to combine lateral control using a steering torque overlay by Motor Driven Power Steering (MDPS) and differential braking by Vehicle Stability Control (VSC). The main objective of a combined control strategy is twofold. The one is to prevent the collision between the subject vehicle and approaching vehicle in the adjacent lanes. The other is to limit actuator's control inputs and vehicle dynamics to safe values for the assurance of the driver's comfort. In order to achieve these goals, the Lyapunov theory and LMI optimization methods has been employed. The proposed coordinated control algorithm for rear-side collision avoidance has been evaluated via simulation using CarSim and MATLAB/Simulink.

시계열 데이터의 성격과 예측 모델의 예측력에 관한 연구 (Relationships Between the Characteristics of the Business Data Set and Forecasting Accuracy of Prediction models)

  • 이원하;최종욱
    • 지능정보연구
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    • 제4권1호
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    • pp.133-147
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    • 1998
  • Recently, many researchers have been involved in finding deterministic equations which can accurately predict future event, based on chaotic theory, or fractal theory. The theory says that some events which seem very random but internally deterministic can be accurately predicted by fractal equations. In contrast to the conventional methods, such as AR model, MA, model, or ARIMA model, the fractal equation attempts to discover a deterministic order inherent in time series data set. In discovering deterministic order, researchers have found that neural networks are much more effective than the conventional statistical models. Even though prediction accuracy of the network can be different depending on the topological structure and modification of the algorithms, many researchers asserted that the neural network systems outperforms other systems, because of non-linear behaviour of the network models, mechanisms of massive parallel processing, generalization capability based on adaptive learning. However, recent survey shows that prediction accuracy of the forecasting models can be determined by the model structure and data structures. In the experiments based on actual economic data sets, it was found that the prediction accuracy of the neural network model is similar to the performance level of the conventional forecasting model. Especially, for the data set which is deterministically chaotic, the AR model, a conventional statistical model, was not significantly different from the MLP model, a neural network model. This result shows that the forecasting model. This result shows that the forecasting model a, pp.opriate to a prediction task should be selected based on characteristics of the time series data set. Analysis of the characteristics of the data set was performed by fractal analysis, measurement of Hurst index, and measurement of Lyapunov exponents. As a conclusion, a significant difference was not found in forecasting future events for the time series data which is deterministically chaotic, between a conventional forecasting model and a typical neural network model.

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An Adaptive Complementary Sliding-mode Control Strategy of Single-phase Voltage Source Inverters

  • Hou, Bo;Liu, Junwei;Dong, Fengbin;Mu, Anle
    • Journal of Electrical Engineering and Technology
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    • 제13권1호
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    • pp.168-180
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    • 2018
  • In order to achieve the high quality output voltage of single-phase voltage source inverters, in this paper an Adaptive Complementary Sliding Mode Control (ACSMC) is proposed. Firstly, the dynamics model of the single-phase inverter with lumped uncertainty including parameter variations and external disturbances is derived. Then, the conventional Sliding Mode Control (SMC) and Complementary Sliding Mode Control (CSMC) are introduced separately. However, when system parameters vary or external disturbance occurs, the controlling performance such as tracking error, response speed et al. always could not satisfy the requirements based on the SMC and CSMC methods. Consequently, an ACSMC is developed. The ACSMC is composed of a CSMC term, a compensating control term and a filter parameters estimator. The compensating control term is applied to compensate for the system uncertainties, the filter parameters estimator is used for on-line LC parameter estimation by the proposed adaptive law. The adaptive law is derived using the Lyapunov theorem to guarantee the closed-loop stability. In order to decrease the control system cost, an inductor current estimator is developed. Finally, the effectiveness of the proposed controller is validated through Matlab/Simulink and experiments on a prototype single-phase inverter test bed with a TMS320LF28335 DSP. The simulation and experimental results show that compared to the conventional SMC and CSMC, the proposed ACSMC control strategy achieves more excellent performance such as fast transient response, small steady-state error, and low total harmonic distortion no matter under load step change, nonlinear load with inductor parameter variation or external disturbance.