• Title/Summary/Keyword: fuzzy Lyapunov

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Stabilization of Input-Delayed TS Fuzzy Systems

  • Lee, Ho-Jae;Park, Jin-Bae;Cha, Dae-Beum;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.140-143
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    • 2001
  • In this paper, a control problem of the Takagi-Sugeno(TS) fuzzy system with time-varying input delay is considered. It is well known that the delay is one of the major sources responsible for the instability of the controlled system. A systematic design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the global asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

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The Sliding Controller designed by the Indirect Adaptive Fuzzy Control Method (간접 적응 퍼지 제어기법에 의한 슬라이딩 제어기 설계)

  • Choi, Chang-Ho;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2283-2286
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    • 2000
  • Sliding control is a powerful approach to controlling nonlinear and uncertain systems. Conventional sliding mode control suffer' from high control gain and chattering problem. also it needs mathematic! modeling equations for control systems. A Fuzzy controller is endowed with control rules and membership function that are constructed on the knowledge of expert, as like intuition and experience. but It is very difficult to obtain the exact values which are the membership function and consequent parameters. In this paper, without mathematical modeling equations, the plant parameters in sliding mode are estimated by the indirect adaptive fuzzy method. the proposed algorithm could analyze the system's stability and convergence behavior using Lyapunov theory. so sliding modes are reconstructed and decreased tracking error. moreover convergence time took a short. An example of inverted pendulum is given for demonstration of the robustness of proposed methodology.

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A Design of Tracking Controller of Wheeled Mobile Robot using Fuzzy Logic and Genetic Algorithm (퍼지논리와 유전알고리즘을 이용한 차륜형 이동로봇의 제어기 설계)

  • Kim, Dae-Jun;Choi, Young-Kiu
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2837-2839
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    • 2000
  • We design a stable controller for a mobile robot with variable gains and reference velocity in order to apply the proper gains and reference velocity, which are generated with fuzzy logic in on-line. The stability is guranteed by the Lyapunov theory. The fuzzy logic rules is found in off-line with GA strategy which drives each object function to be the least. The proposed controller is applied smooth path tracking due to the local path planing. Simulation results show robust performances under a different initial conditions.

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Adaptive Fuzzy Wavelet Control for a class of Uncertain Nonlinear Systems (불확실성을 갖는 비선형 시스템의 적응 퍼지 웨이브렛 제어)

  • Jang, Jin-Su;Park, Ki-Kwang;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1726-1727
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    • 2007
  • In this paper, a systematic guideline is introduced to design a stable adaptive fuzzy wavelet controller with sliding mode for a class of uncertain nonlinear systems. Based on the Lyapunov synthesis approach, we construct the fuzzy wavelet controller such that it can basically control and guarantee the stability of the whole control system. On the other hand, a robust controller is design to restrain or eliminate the disturbance and assure the desired output accuracy of a control system. Some experimental results for a chaotic system are provided here to demonstrate the effectiveness of the control algorithm.

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Robust Tracking Controller Design for TS Fuzzy System with Uncertaintie (불확실한 TS 퍼지 시스템을 위한 강인한 추종 제어기의 설계)

  • Jeon, Sang-Won;Lee, Sang-Jun;Lee, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1955-1957
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    • 2001
  • This paper propose the design method of robust tracking controller for nonlinear TS fuzzy system with uncertainties. The robust tracking controller design is presented by constraint of robust stability for nonlinear system. A sufficient condition of the robust stability is presented by LMI(Linear Matrix Inequality) soltuion in the sense of Lyapunov for TS fuzzy system with uncertainties. The effectiveness of the proposed robust tracking con design is demonstrated through a numerical simulatio.

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

  • Yoon, Byung-Do;Kim, Yoon-Ho;Kim, Chan-Ki;Yang, Sung-Jin
    • Proceedings of the KIEE Conference
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    • 1995.07a
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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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NNDI decentralized evolved intelligent stabilization of large-scale systems

  • Chen, Z.Y.;Wang, Ruei-Yuan;Jiang, Rong;Chen, Timothy
    • Smart Structures and Systems
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    • v.30 no.1
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    • pp.1-15
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    • 2022
  • This article focuses on stability analysis and fuzzy controller synthesis for large neural network (NN) systems consisting of several interconnected subsystems represented by the NN model. Advanced and fuzzy NN differential inclusion (NNDI) for stability based on the developed algorithm with H infinity can be designed based on the evolved biological design. This representation is constructed using sector linearity for NN models. Sector linearity transforms a non-linear model into a linear model based on proposed operations. New sufficient conditions are realized in the form of LMI (linear matrix inequalities) to ensure the asymptotic stability of the trans-Lyapunov function. This transforms the nonlinear model into a linear model based on multiple rules. At last, a numerical case study with simulations is derived as illustration to prove its feasibility in real nonlinear structures.

Neuro-Fuzzy Control of Interior Permanent Magnet Synchronous Motors: Stability Analysis and Implementation

  • Dang, Dong Quang;Vu, Nga Thi-Thuy;Choi, Han Ho;Jung, Jin-Woo
    • Journal of Electrical Engineering and Technology
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    • v.8 no.6
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    • pp.1439-1450
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    • 2013
  • This paper investigates a robust neuro-fuzzy control (NFC) method which can accurately follow the speed reference of an interior permanent magnet synchronous motor (IPMSM) in the existence of nonlinearities and system uncertainties. A neuro-fuzzy control term is proposed to estimate these nonlinear and uncertain factors, therefore, this difficulty is completely solved. To make the global stability analysis simple and systematic, the time derivative of the quadratic Lyapunov function is selected as the cost function to be minimized. Moreover, the design procedure of the online self-tuning algorithm is comparatively simplified to reduce a computational burden of the NFC. Next, a rotor angular acceleration is obtained through the disturbance observer. The proposed observer-based NFC strategy can achieve better control performance (i.e., less steady-state error, less sensitivity) than the feedback linearization control method even when there exist some uncertainties in the electrical and mechanical parameters. Finally, the validity of the proposed neuro-fuzzy speed controller is confirmed through simulation and experimental studies on a prototype IPMSM drive system with a TMS320F28335 DSP.

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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    • v.8 no.3
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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.

Guaranteed Cost and $H_{\infty}$ Filtering for Delayed Fuzzy Dynamic Systems (시간지연 퍼지 시스템의 보장비용 및 $H_{\infty}$ 필터링)

  • 이갑래;조희수;박홍배
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.2
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    • pp.10-18
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    • 2003
  • This paper presents a method for designing guaranteed cost fuzzy filter with a desired H$_{\infty}$ disturbance rejection constraint of delayed fuzzy dynamic systems. This method not only guarantees an induced L$_2$ norm bound constraint on disturbance attenuation, but also minimizes an upper bound on a linear quadratic performance measure. A sufficient condition for the existence of guaranteed cost fuzzy filter with H$_{\infty}$ constraint is then presented in terms of linear matrix inequalities(LMIs). A simulation example is given to illustrate the design procedures and performances of the proposed methods.