• 제목/요약/키워드: Lyapunov's function

검색결과 108건 처리시간 0.02초

RBFNN을 가진 적응형 슬라이딩 모드를 이용한 쿼드로터 무인항공기의 제어 (Control of Quadrotor UAV Using Adaptive Sliding Mode with RBFNN)

  • 탁한호
    • 융합신호처리학회논문지
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    • 제23권4호
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    • pp.185-193
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    • 2022
  • 본 논문은 쿼드로터 무인기의 위치 및 자세 추적 제어 성능을 향상시키기 위해 RBFNN 방식을 이용한 적응형 슬라이딩 모드 제어를 제안한다. RBFNN은 UAV 동적 모델에서 비선형 함수의 근사화에 활용되며, RBFNN의 가중치는 슬라이딩 표면에 부딪혀 미끄러지는 상태를 보장하기 위해 Lyapunov 안정성 분석의 적응 법칙에 따라 온라인으로 조정된다. 네트워크 근사 오류를 보상하고 기존 채터링 문제를 제거하기 위해 슬라이딩 모드 제어 항은 적응 법칙에 의해 조정되어 시스템의 강력한 성능을 향상시킨다. 제안된 제어 방법의 시뮬레이션 결과는 비선형 쿼드로터 무인 항공기에 적용된 제안된 제어기의 효율성을 확인하였다. 그 결과, 제안된 제어 시스템이 만족스러운 제어 성능과 견고성을 달성함을 알 수 있었다.

새로운 적응 슬라이딩 모드 관측기를 이용한 PMSM 센서리스 속도 응답특성 향상 (Enhancement of the Speed Response of PMSM Sensorless Control Using A New Adaptive Sliding Mode Observer)

  • 김홍열;손주범;이장명
    • 전기학회논문지
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    • 제59권1호
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    • pp.160-167
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    • 2010
  • This paper proposes an adaptive sliding mode observer (SMO), which adds the estimation function of the stator resistance to a new sliding mode observer for the robust sensorless control of permanent magnet synchronous motor (PMSM) with variable parameters. To reduce the chattering problem commonly found in the conventional sliding mode observer where the low-pass filter and additional position compensation of the rotor are used, the sigmoid function is used for the control of a switching function in this research. With the estimation of the stator resistance, the proposed observer can improve the control performance by reducing the estimation error of the motor's speed. Note that the stator resistance is varying with the ambient temperature and becomes an error source for the sensorless control of PMSM. The new sliding mode observer has better efficiency than the conventional adaptive sliding mode observer by reducing the time consuming integral calculations. The stability of the proposed adaptive sliding mode observer is verified by the Lyapunov function in determining the observer gains, and the effectiveness of the observer is demonstrated by simulations and experiments.

시간 지연을 가지는 비선형 마르코비안 점프 시스템의 퍼지 제어 (Stabilization for Markovian Jump Nonlinear Systems with Time-Delay via T-S Fuzzy Control)

  • 송민국;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 학술대회 논문집 정보 및 제어부문
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    • pp.235-236
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    • 2008
  • This paper is concerned with the stabilization problem of Markovian jump nonlinear systems with time-delay via Takagi-Sugeno (T-S) fuzzy control approach. The T-S fuzzy models are employed to represent nonlinear systems with Markovian jump parameters and time-delay. The purpose of this paper is to design a mode-independent fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. Based on a stochstic Lyapunov function, stabilization sufficient conditions using a mode-independent fuzzy controller are derived for the Markovian jump fuzzy system in terms of Linear Matrix Inequalities (LMIs). Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.

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시간 지연을 포함하는 비선형 네트워크 시스템의 퍼지 제어 (Networked Nonlinear Control Systems with Time-Delay via T-S Fuzzy Approach)

  • 송민국;박진배;주영훈;김종선
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
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    • pp.390-392
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    • 2009
  • This paper is concerned with the stabilization problem of nonlinear networked control systems with time-delay via Takagi-Sugeno(T-S) fuzzy control approach. The T-S fuzzy models are employed to represent nonlinear systems with Markovian jump parameters and time-delay. The purpose of this paper is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. Based on a stocastic Lyapunov function, stabilization sufficient conditions using a mode-independent fuzzy controller are derived for the Markovian jump fuzzy system in terms of Linear Matrix Inequalities(LMIs). Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.

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시간 지연을 포함하는 비선형 네트워크 시스템의 퍼지 제어 (Networked Nonlinear Control Systems with Time-Delay via T-S Fuzzy Approach)

  • 송민국;박진배;김진규;주영훈
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
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    • pp.329-331
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    • 2009
  • This paper is concerned with the stabilization problem of nonlinear networked control systems with time-delay via Takagi-Sugeno(T-S) fuzzy control approach. The T-S fuzzy models are employed to represent nonlinear systems with Markovian jump parameters and time-delay. The purpose of this paper is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. Based on a stocastic Lyapunov function, stabilization sufficient conditions using a mode-independent fuzzy controller are derived for the Markovian jump fuzzy system in terms of Linear Matrix Inequalities(LMIs). Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.

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불완전한 전반부 정합 하에서의 관측기 기반 구간 2형 T-S 퍼지 시스템의 H 퍼지 제어기 설계 (Observer-based H Fuzzy Controller Design of Interval Type-2 Takagi-Sugeno Fuzzy Systems Under Imperfect Premise Matching)

  • 황성환;박진배;주영훈
    • 전기학회논문지
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    • 제66권11호
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    • pp.1620-1627
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    • 2017
  • In this paper, we design an observer-based $H_{\infty}$ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the $H_{\infty}$ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.

ENHANCED FUZZY SLIDING MODE CONTROLLER FOR LAUNCH CONTROL OF AMT VEHICLE USING A BRUSHLESS DC MOTOR DRIVE

  • Zhao, Y.S.;Chen, L.P.;Zhang, Y.Q.;Yang, J.
    • International Journal of Automotive Technology
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    • 제8권3호
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    • pp.383-394
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    • 2007
  • Due to the clutch's non-linear dynamics, time-delays, external disturbance and parameter uncertainty, the automated clutch is difficult to control precisely during the launch process or automatic mechanical transmission (AMT) vehicles. In this paper, an enhanced fuzzy sliding mode controller (EFSMC) is proposed to control the automated clutch. The sliding and global stability conditions are formulated and analyzed in terms of the Lyapunov full quadratic form. The chattering phenomenon is handled by using a saturation function to replace the pure sign function and fuzzy logic adaptation system in the control law. To meet the real-time requirement of the automated clutch, the region-wise linear technology s adopted to reduce the fuzzy rules of the EFSMC. The simulation results have shown hat the proposed controller can achieve a higher performance with minimum reaching time and smooth control actions. In addition, our data also show that the controller is effective and robust to the parametric variation and external disturbance.

브레이크 게인 적응 휠 슬립 제어에 관한 연구 (A Study on Brake Gain Adaptive Wheel Slip Control)

  • 조준상;유승진;이교일
    • 유공압시스템학회논문집
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    • 제4권1호
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    • pp.13-17
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    • 2007
  • The brake gain adaptive wheel slip controller for a vehicle is designed in this paper. The brake gain from braking pressure to braking torque defined by friction coefficient, friction area and effective friction radius is estimated by the adaptive law based on the wheel slip dynamics. And the wheel slip controller is designed based on the estimated brake gain. The robustness of the designed controller is analyzed using Lyapunov function and the convergence of brake gain is verified. Proposed wheel slip controller is verified via CarSim simulation with two kinds of desired wheel slip ratio.

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Fuzzy H$\infty$ Filtering for Nonlinear Systems with Time-Varying Delayed States

  • Lee, Kap-Rai;Lee, Jang-Sik;Oh, Do-Chang;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권2호
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    • pp.99-105
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    • 1999
  • This paper presents a fuzzy H$\infty$ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown inital state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadraic Lyapunov function, the stability and L2 gain performance from the noise signals to the estimation error are discussed. Sufficient conditions for the existence of fuzzy H$\infty$ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also be directly obtained from the solutions of LMIs.

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유전 알고리듬과 퍼지논리 시스템을 이용한 비선형 시스템의 피드백 선형화 제어 (Feedback linearization control of a nonlinear system using genetic algorithms and fuzzy logic system)

  • 최영길;김성현;심귀보;전홍태
    • 전자공학회논문지S
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    • 제34S권3호
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    • pp.46-54
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    • 1997
  • In this paper, we psropose the feedback linearization technique for a nonlinear system using genetic algorithms (GAs) and fuzzy logic system. The proposed control scheme approximates the nonlinear term of a nonlinear system using the fuzzy logic system and computes the control input for cancelling the nonlinear term. Then in the fuzzy logic system, the number and shape of membership function of the premise aprt will be tuned to minimize the control error boundary using GAs. And the parameters of the consequence of fuzzy rule will be tuned by the adaptive laws based on lyapunov stability theory in order to guarantee the closed loop stability of control system. The evolution of fuzzy logic system is processed during the on-line adaptive control. The effectiveness of proposed method will be demonstrated by computer simulation of simple nonlinear sytem.

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