• Title/Summary/Keyword: fuzzy Lyapunov

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An Adaptive Tracking Control for Robotic Manipulators based on RBFN

  • Lee, Min-Jung;Jin, Tae-Seok
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.2
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    • pp.96-101
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    • 2007
  • Neural networks are known as kinds of intelligent strategies since they have learning capability. There are various their applications from intelligent control fields; however, their applications have limits from the point that the stability of the intelligent control systems is not usually guaranteed. In this paper we propose an adaptive tracking control for robot manipulators using the radial basis function network (RBFN) that is e. kind of neural networks. Adaptation laws for parameters of the RBFN are developed based on the Lyapunov stability theory to guarantee the stability of the overall control scheme. Filtered tracking errors between actual outputs and desired outputs are discussed in the sense of the uniformly ultimately boundedness(UUB). Additionally, it is also shown that parameters of the RBFN are bounded. Experimental results for a SCARA-type robot manipulator show that the proposed adaptive tracking controller is adaptable to the environment changes and is more robust than the conventional PID controller and the neuro-controller based on the multilayer perceptron.

Advances in Nonlinear Predictive Control: A Survey on Stability and Optimality

  • Kwon, Wook-Hyun;Han, Soo-Hee;Ahn, Choon-Ki
    • International Journal of Control, Automation, and Systems
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    • v.2 no.1
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    • pp.15-22
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    • 2004
  • Some recent advances in stability and optimality for the nonlinear receding horizon control (NRHC) or the nonlinear model predictive control (NMPC) are assessed. The NRHCs with terminal conditions are surveyed in terms of a terminal state equality constraint, a terminal cost, and a terminal constraint set. Other NRHCs without terminal conditions are surveyed in terms of a control Lyapunov function (CLF) and cost monotonicity. Additional approaches such as output feedback, fuzzy, and neural network are introduced. This paper excludes the results for linear receding horizon controls and concentrates only on the analytical results of NRHCs, not including applications of NRHCs. Stability and optimality are focused on rather than robustness.

Adaptive self-structuring fuzzy controller of wind energy conversion systems (풍력 발전 계통의 자기 구조화 적응 퍼지 제어기 설계)

  • Park, Jang-Hyun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.2
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    • pp.151-157
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    • 2013
  • This paper proposes an online adaptive fuzzy controller for a wind energy conversion system (WECS) that is intrinsically highly nonlinear plant. In real application, to obtain exact system parameters such as power coefficient, many measuring instruments and off-line implementations are required, which is very difficult to perform. This shortcoming can be avoided by introducing fuzzy system in the controller design in this paper. The proposed adaptive fuzzy control scheme using self-structuring algorithm requires no system parameters to meet control objectives. Even the structure of the fuzzy system is automatically grows on-line, which distinguishes our proposed algorithm over the previously proposed fuzzy control schemes. Combining derivative estimator for wind velocity, the whole closed-loop system is shown to be stable in the sense of Lyapunov.

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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Design and Stability Analysis of a Fuzzy Adaptive SMC System for Three-Phase UPS Inverter

  • Naheem, Khawar;Choi, Young-Sik;Mwasilu, Francis;Choi, Han Ho;Jung, Jin-Woo
    • Journal of Power Electronics
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    • v.14 no.4
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    • pp.704-711
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    • 2014
  • This paper proposes a combined fuzzy adaptive sliding-mode voltage controller (FASVC) for a three-phase UPS inverter. The proposed FASVC encapsulates two control terms: a fuzzy adaptive compensation control term, which solves the problem of parameter uncertainties, and a sliding-mode feedback control term, which stabilizes the error dynamics of the system. To extract precise load current information, the proposed method uses a conventional load current observer instead of current sensors. In addition, the stability of the proposed control scheme is fully guaranteed by using the Lyapunov stability theory. It is shown that the proposed FASVC can attain excellent voltage regulation features such as a fast dynamic response, low total harmonic distortion (THD), and a small steady-state error under sudden load disturbances, nonlinear loads, and unbalanced loads in the existence of the parameter uncertainties. Finally, experimental results are obtained from a prototype 1 kVA three-phase UPS inverter system via a TMS320F28335 DSP. A comparison of these results with those obtained from a conventional sliding-mode controller (SMC) confirms the superior transient and steady-state performances of the proposed control technique.

Stabilization Power Systems withan Adaptive Fuzzy Control (적응퍼지제어를 이용한 전력계통 안정화)

  • 박영환;박귀태
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.2
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    • pp.117-127
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    • 1998
  • Power systems have uncertain dynamics due to a variety of effects such as lightning, severe storms and equipment failures. The variation of the effective reactance of a transmission line due to a fault is an example of uncertainty in power system dynamics. Hence, a robust controller to cope with these uncertainties is needed. Recently, fuzzy controllers are becoming quite popular for robust control due to its potential of dealing with uncertain systems. Thus in this paper we design an adaptive fuzzy controller based on an input-output linearization approach for the transient stabilization and voltage regulation of a power system under a sudden fault. Also this paper proposes a fuzzy system that estimates the upper bound of uncertain term in the system dynamics to guarantee the Lyapunov stability. Simulation results show that good performance is achieved by the proposed controller.

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Smart composite repetitive-control design for nonlinear perturbation

  • ZY Chen;Ruei-Yuan Wang;Yahui Meng;Timothy Chen
    • Steel and Composite Structures
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    • v.51 no.5
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    • pp.473-485
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    • 2024
  • This paper proposes a composite form of fuzzy adaptive control plan based on a robust observer. The fuzzy 2D control gains are regulated by the parameters in the LMIs. Then, control and learning performance indices with weight matrices are constructed as the cost functions, which allows the regulation of the trade-off between the two performance by setting appropriate weight matrices. The design of 2D control gains is equivalent to the LMIs-constrained multi-objective optimization problem under dual performance indices. By using this proposed smart tracking design via fuzzy nonlinear criterion, the data link can be further extended. To evaluate the performance of the controller, the proposed controller was compared with other control technologies. This ensures the execution of the control program used to track position and trajectory in the presence of great model uncertainty and external disturbances. The performance of monitoring and control is verified by quantitative analysis. The goals of this paper are towards access to adequate, safe and affordable housing and basic services, promotion of inclusive and sustainable urbanization and participation, implementation of sustainable and disaster-resilient buildings, sustainable human settlement planning and manage. Therefore, the goal is believed to achieved in the near future by the ongoing development of AI and control theory.

Saturation Compensation of a DC Motor System Using Neural Networks

  • Jang, Jun-Oh;Ahn, Ihn-Seok
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.5 no.2
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    • pp.169-174
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    • 2005
  • A neural networks (NN) saturation compensation scheme for DC motor systems is presented. The scheme that leads to stability, command following and disturbance rejection is rigorously proved. On-line weights tuning law, the overall closed loop performance and the boundness of the NN weights are derived and guaranteed based on Lyapunov approach. The simulation and experimental results show that the proposed scheme effectively compensate for saturation nonlinearity in the presence of system uncertainty.

Robust Fuzzy controller Design for Uncertain Nonlinear systems (불확실성을 가지는 비선형 시스템의 견실 퍼지 제어기 설계)

  • 정은태;권성하;조중선
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.3
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    • pp.26-32
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    • 1998
  • 본 논문은 파라미터 불확실성을 가지는 비선형 시스템을 안정화하는 견실 퍼지 제어기 설계 기법을 제시한다. 견실 퍼지 제어기를 설계하기 위하여, 비선형 시스템을 Takagi-Sugeon(T-S)모델로 표현하고 퍼지 제어기는 병렬 분한 보상(PDC : parallel distributed compensation)의 개념을 이용한다. Lyapunov함수를 이용하여 파라미터 불확실성을 가지는 T-S퍼지 모델의 안정성을 논하고, 견실 퍼지 제어기가 존재할 충분조건을 선형 행렬 부등식(LMI " linear materix inequality)을 이용하여 나타낸다. 이러한 선형 행렬 부등식의 해들로부터 견실 퍼지 제어기를 직접적으로 구할 수 있다.

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Stability Analysis for Fuzzy PWM System (퍼지 PWM 시스템에 대한 안정도 분석)

  • Seong, Hwa-Chang;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.373-376
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    • 2008
  • 본 논문은 퍼지 펄스 폭 변조 (Pulse-width-modulation: PWM) 시스템의 안정도에 대해 다루게 된다. 복잡성을 가진 비선형 시스템은 Takagi-Sugeno (T-S) 퍼지 모델에 의해 효율적으로 논의될 수 있다. 본 논문에서는 기존의 LTI 시스템에서 논의 되었던 PWM 제어기 설계 문제를 퍼지 시스템으로 확장시킴으로써 PWM 제어기에 대한 논의의 저변을 확대시키고자 한다. 또한, 리아푸노프 (Lyapunov) 안정도에 기반 한 안정도 증명을 통해 퍼지 PWM 시스템의 안정도를 분석하고자 한다.

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