• Title/Summary/Keyword: fuzzy stability

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Stabilized Adaptive Fuzzy LMS Algorithms for Active Noise Control (능동소음제어를 위한 안정화된 퍼지 LMS 알고리즘)

  • Ahn, Dong-Jun;Baek, Kwang-Hyun;Nam, Hyun-Do
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.1
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    • pp.150-155
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    • 2011
  • In an active noise control systems, an IIR filter may cause a problem in stability beacause of its poles. For IIR filter, its poles goes sometimes out of a unit circle in a z-plane in the transition state, where the adaptive algorithm converges to the optimum value, which causes the system to diverge. Fuzzy LMS algorithm has a better convergence property than conventional LMS algorithms, but is not applicable to IIR filter because of the reasons. Stabilized adaptive algorithm could be improves stability by moving the pole of IIR filer toward the origin forcibly in the transient state, and by introducing forgetting factor to maintain the optimum convergence when it reaches to the steady state. In this paper, We proposed stabilized adaptive fuzzy LMS algorithms with IIR filter structures, for single channel active noise control with ill conditioned signal case. Computer simulations were performed to show the effectiveness of a proposed algorithm.

Design of Buoyancy and Moment Controllers of a Underwater Glider Based on a T-S Fuzzy Model (T-S 퍼지 모델 기반 수중글라이더의 부력 및 모멘트 제어기 설계)

  • Lee, Gyeoung Hak;Kim, Do Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.12
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    • pp.2037-2045
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    • 2016
  • This paper presents a fuzzy-model-based design approach to the buoyancy and moment controls of a class of nonlinear underwater glider. Through the linearization and the sector nonlinearity methodologies, the underwater glider dynamics is represented by a Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived to guarantee the asymptotic stability of the closed-loop system in the format of linear matrix inequality (LMI). Simulation results demonstrate the effectiveness of the proposed buoyancy and moment controllers for the underwater glider.

Adaptive Fuzzy Excitation Controller for Power System Stabilization (전력계통 안정화를 위한 적응 퍼지 여자 제어기)

  • Park, Jang-Hyun;Chang, Young-Hak;Lee, Jin;Moon, Chae-Joo
    • Proceedings of the KIPE Conference
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    • 2005.07a
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    • pp.693-696
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    • 2005
  • We propose a robust adaptive fuzzy controller for the transient stability and voltage regulation of a single-machine inflnite bus power system. The proposed control scheme is based on the input-output linearization to eliminate the system nonlinearities. To deal with uncertainties due to a parameter variation or a fault, we introduce fuzzy systems with universal function approximating capability which estimate the uncertainties on-line.

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A STUDY OF TWO SPECIES MODEL WITH HOLLING TYPE RESPONSE FUNCTION USING TRIANGULAR FUZZY NUMBERS

  • P. VINOTHINI;K. KAVITHA
    • Journal of applied mathematics & informatics
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    • v.41 no.4
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    • pp.723-739
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    • 2023
  • In this paper, we developed three theoretical models based on prey and predator that exhibit holling-type response functions. In both a fuzzy and a crisp environment, we have provided a mathematical formulation for the prey predator concept. We used the signed distance method to defuzzify the triangular fuzzy numbers using the alpha-cut function. We can identify equilibrium points for all three theoretical models using the defuzzification technique. Utilizing a variational matrix, stability is also performed with the two species model through three theoretical models. Results are presented, followed by discussion. MATLAB software is used to provide numerical simulations.

A fuzzy grey predictor for civil frame building via Lyapunov criterion

  • Chen, Z.Y.;Meng, Yahui;Wang, Ruei-Yuan;Chen, Timothy
    • Computers and Concrete
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    • v.30 no.5
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    • pp.357-367
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    • 2022
  • In this paper, we propose an efficient control method that can be transformed into a general building control problem for building structure control using these reliability criteria. To facilitate the calculation of controller H∞, an efficient solution method based on Linear Matrix Inequality (LMI) is introduced, namely H∞-based LMI control. In addition, a self-tuning predictive grey fuzzy controller is proposed to solve the problem caused by wrong parameter selection to eliminates the effect of dynamic coupling between degrees of freedom (DOF) in Self-Tuning Fuzzy Controllers. We prove stability using Lyapunov's stability theorem. To check the applicability of the proposed method, the proposed controller is applied and the control characteristics are determined. The simulation assumes system uncertainty in the controller design and emphasizes the use of acceleration feedback as a practical consideration. Simulation results show that the performance of the proposed controller is impressive, stable, and consistent with the performance of LMI-based methods. Therefore, an effective control method is suitable for seismic reinforcement of civil buildings.

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.

Design and Evaluation of AFS and ARS Controllers with Sliding Mode Control and Fuzzy Logic Control Method (Sliding Mode Control 및 Fuzzy Logic Control 방법을 이용한 AFS 및 ARS 제어기 설계 및 성능 평가)

  • Song, Jeonghoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.2
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    • pp.72-80
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    • 2013
  • This study is to develop and evaluate an AFS and an ARS controllers to enhance lateral stability of a vehicle. A sliding mode control (SMC) and a fuzzy logic control (FLC) methods are applied to calculate the desired additional steering angle of AFS equipped vehicle or desired rear steer angle of ARS equipped vehicle. To validate AFS and ARS systems, an eight degree of freedom, nonlinear vehicle model and an ABS controllers are also used. Several road conditions are used to test the performances. The results showed that the yaw rate of the AFS and the ARS vehicle followed the reference yaw rate very well within the adhesion limit. However, the AFS improves the lateral stability near the limit compared with the ARS. Because the SMC and the FLC show similar vehicle responses, performance discrimination is small. On split-${\mu}$ road, the AFS and the ARS vehicle had enhanced the lateral stability.

Design of an observer-based decentralized fuzzy controller for discrete-time interconnected fuzzy systems (이산시간 상호결합 퍼지 시스템을 위한 관측기 기반 분산 퍼지 제어기 설계)

  • Koo, Geun Bum;Joo, Young Hoon;Park, Jin Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.5
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    • pp.451-456
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    • 2015
  • In this paper, an observer-based decentralized fuzzy controller is designed for discrete-time interconnected fuzzy systems. Based on the fuzzy subsystem of the interconnected fuzzy system, the observer-based decentralized fuzzy controller is considered. By using the fuzzy subsystem and the observer-based decentralized fuzzy controller, the closed-loop system is obtained. From the closed-loop system, the stability condition with the maximum interconnection bound is developed, and its sufficient condition is represented as the linear matrix inequality (LMI). Finally, the numerical example is provided to verify the effectiveness of the proposed technique.

Development of Robust Fuzzy Controller with Relaxed Stability Condition: Global Intelligent Digital Redesign Approach (완화된 안정도 조건을 갖는 강인한 디지털 퍼지 제어기 설계: 전역적 디지털 재설계 접근법)

  • Sung, Hwa-Chang;Kim, Jin-Kyu;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.5
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    • pp.487-492
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    • 2007
  • This paper presents the development of digital robust fuzzy controller for uncertain nonlinear systems. The proposed approach is based on the intelligent digital redesign(IDR) method with considering the relaxed stability condition of fuzzy control system. The term IDR in the concerned system is to convert an existing analog robust control into an equivalent digital counterpart in the sense of the state-matching. We shows that the IDR problem can be reduced to find the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital robust control systems. Its constructive conditions are expressed as the linear matrix inequalities(LMIs) and thereby easily tractable by the convex optimization techniques. Based on the nonquadratic Lyapunov function, the robust stabilization conditions are given for the sampled-data fuzzy system, and hence less conservative. A numerical example, chaotic Lorentz system, is demonstrated to visualize the feasibility of the proposed methodology.

Robust Adaptive Fuzzy Backstepping Control for Trajectory Tracking of an Electrically Driven Nonholonomic Mobile Robot with Uncertainties (불확실성을 가지는 전기 구동 논홀로노믹 이동 로봇의 궤적 추종을 위한 강인 적응 퍼지 백스테핑 제어)

  • Shin, Jin-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.10
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    • pp.902-911
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    • 2012
  • This paper proposes a robust adaptive fuzzy backstepping control scheme for trajectory tracking of an electrically driven nonholonomic mobile robot with uncertainties and actuator dynamics. A complete model of an electrically driven nonholonomic mobile robot described in this work includes all models of the uncertain robot kinematics with a nonholonomic constraint, the uncertain robot body dynamics with uncertain frictions and unmodeled disturbances, and the uncertain actuator dynamics with disturbances. The proposed control scheme uses the backstepping control approach through a kinematic controller and a robust adaptive fuzzy velocity tracking controller. The presented control scheme has a voltage control input with an auxiliary current control input rather than a torque control input. It has two FBFNs(Fuzzy Basis Function Networks) to approximate two unknown nonlinear robot dynamic functions and a robust adaptive control input with the proposed adaptive laws to overcome the uncertainties such as parameter uncertainties and external disturbances. The proposed control scheme does not a priori require the accurate knowledge of all parameters in the robot kinematics, robot dynamics and actuator dynamics. It can also alleviate the chattering of the control input. Using the Lyapunov stability theory, the stability of the closed-loop robot control system is guaranteed. Simulation results show the validity and robustness of the proposed control scheme.