• Title/Summary/Keyword: Lyapunov Redesign

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Robust Fuzzy Load-Frequency Control of Nonlinear Power Systems Using Intelligent Digital Redesign Technique (지능형 디지털 재설계 기법을 이용한 비선형 전력 계통의 강인 퍼지 부하 주파수 제어)

  • 이남수;이연우;전상원;주영훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.142-145
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    • 2000
  • A new robust load-frequency control (LFC) methodology is proposed for nonlinear power systems with the valve position limits of the governor in the presence of parametric uncertainties. The Takagi-Sugeno (TS) fuzzy model is adopted for fuzzy modeling of the nonlinear power system. A sufficient condition of the robust stability is presented in the sense of Lyapunov for the TS fuzzy model with parametric uncertainties. The intelligent digital redesign technique for the uncertain nonlinear power system is also studied. The effectiveness of the proposed robust fuzzy LFC controller design method is demonstrated through a numerical simulation.

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Design of Robust Fuzzy Controller for Load-Frequency Control of Power Systems Using Intelligent Digital Redesign Technique (지능형 디지털 재설계 기법을 이용한 전력 계통의 부하 주파수 제어를 위한 강인한 퍼지 제어기 설계)

  • Joo, Young-Hoon;Jeo, Sang-Won;Kwon, Oh-Sin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.4
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    • pp.357-367
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    • 2000
  • A new robust load-frequency control methodology is proposed for nonlinear power systems with valve position limits of the governor in the presence of parametric uncertaines. The TSK fuzzy model is adopted and formulated for fuzzy modeling of the nonlinear power system. A sufficient condition of the robust stabilitry is presented in the sense of lyapunov for the TSK model with parametric uncertainties. The intekkigent digital redesign technique for the uncertain power systems is also studied. The effectiveness of the robust digital fuzzy controller disign mothod is demonstrated through a numerical simulation.

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Robust Nonlinear Control of AC Brushless Motor for Electric Vehicles Application

  • Langarica-Cordoba, Diego;Guerrero-Ramirez, Gerardo V.;Claudio-Sanchez, Abraham;Duran-Fonseca, Miguel A.;Adam-Medina, Manuel;Astorga-Zaragoza, Carlos-Manuel
    • Journal of Power Electronics
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    • v.11 no.4
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    • pp.430-438
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    • 2011
  • This article proposes a robust nonlinear control based on Lyapunov's redesign, whose purpose is to deal with parametric uncertainty in the resistance of the motor windings. The robust controller design is based on the passivity properties of the motor, as well as energy shaping and damping injection. The application of this control technique is focused on electric vehicles mainly formed by a battery bank, a power inverter, an AC brushless motor and the mechanical transmission. The sine PWM technique is used to trigger the switching devices of inverter. The results were obtained from simulation, where is shown that robust control makes a proper tracking of electromagnetic torque.

Model Reference Adaptive Control of a Flexible Structure

  • Yang, Kyung-Jinn;Hong, Keum-Shik;Rhee, Eun-Jun;Yoo, Wan-Suk
    • Journal of Mechanical Science and Technology
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    • v.15 no.10
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    • pp.1356-1368
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    • 2001
  • In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

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A Sliding Surface Design for Linear Systems with Mismatched Uncertainties based on Linear Matrix Inequality

  • Jang, Seung-Ho;Kim, Sang-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.561-565
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    • 2005
  • Sliding mode control (SMC) is an effective method of controlling systems with uncertainties which satisfy the so-called matching condition. However, how to effectively handle mismatched uncertainties of systems is still an ongoing research issue in SMC. Several methods have been proposed to design a stable sliding surface even if mismatched uncertainties exist in a system. Especially, it is presented that robustness and efficiency of SMC for linear systems with mismatched uncertainties can be improved by reducing mismatched uncertainties in the reduced-order system. The reduction method needs a new sliding surface with an additional component based on Lyapunov redesign technique. In this paper, a stable sliding surface which contains additional component to reduce the influence of mismatched uncertainties, is introduced. It is designed by using linear matrix inequalities that guarantees the stability of the system. A numerical example demonstrates the validity of the proposed scheme.

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Robust Vehicle Stability Control Using Disturbance Observer (외란 관측기를 이용한 견실한 차량 안정성 제어)

  • Hahn, Jin-Oh;Yi, Kyong-Su;Kang, Soo-Joon;Lee, Il-Kyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2519-2526
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    • 2002
  • A disturbance observer-based vehicle stability controller is proposed in this paper. The lumped disturbance to the vehicle yaw rate dynamics caused by the uncertain factors such as uncertain tire forces and parameters is estimated by the disturbance observer, which is utilized by the robust controller to stabilize the lateral dynamics of the vehicle. The dynamics of the hydraulic actuator is incorporated in the vehicle stability controller design using the model reduction technique. Modular control design methodology is adopted to effectively deal with the mismatched uncertainty. Simulation results indicate that the proposed disturbance observer-based vehicle stability controller can achieve the desired reference tracking performance as well as sufficient level of robustness.

Nonlinear Robust Control of Passenger Car Torque Converter Bypass Clutch (승용차용 토크컨버터 바이패스 클러치의 비선형 견실제어)

  • Han, Jin-Oh;Kang, Soo-Joon;Lee, Kyo-Il
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.8
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    • pp.1251-1258
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    • 2003
  • This paper presents a nonlinear robust approach to the slip control problem for a torque converter bypass clutch in a passenger car. The proposed nonlinear robust controller builds upon only the measurements avail-able from inexpensive sensors that are already installed in passenger cars for control. The issue of torque estimation problems for the implementation of the proposed controller is addressed. The stability of the internal dynamics is investigated, upon which a nonlinear robust controller is designed using input-output feedback linearization and Lyapunov redesign technique. The performance of the designed controller is validated by simulation studies.

Robust Nonlinear Control of a 6 DOF Parallel Manipulator : Task Space Approach

  • Kim, Hag-Seong;Youngbo Shim;Cho, Young-Man;Lee, Kyo-Il
    • Journal of Mechanical Science and Technology
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    • v.16 no.8
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    • pp.1053-1063
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    • 2002
  • This paper presents a robust nonlinear controller for a f degree of freedom (DOF) parallel manipulator in the task space coordinates. The proposed control strategy requires information on orientations and translations in the task space unlike the joint space or link space control scheme. Although a 6 DOF sensor may provide such information in a straightforward manner, its cost calls for a more economical alternative. A novel indirect method based on the readily available length information engages as a potential candidate to replace a 6 DOF sensor. The indirect approach generates the necessary information by solving the forward kinematics and subsequently applying alpha-beta-gamma tracker With the 6 DOF signals available, a robust nonlinear task space control (RNTC) scheme is proposed based on the Lyapunov redesign method, whose stability is rigorously proved. The performance of the proposed RNTC with the new estimation scheme is evaluated via experiments. First, the results of the estimator are compared with the rate-gyro signals, which indicates excellent agreement. Then, the RNTC with on-line estimated 6 DOF data is shown to achieve excellent control performance to sinusoidal inputs, which is superior to those of a commonly used proportional-plus-integral-plus-derivative controller with a feedforward friction compensation under joint space coordinates and the nonlinear controller under task space coordinates.