• Title/Summary/Keyword: $H_{\infty}$ Fuzzy Control

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H$\infty$ Fuzzy Dynamic Output Feedback Controller Design with Pole Placement Constraints

  • Kim, Jongcheol;Sangchul Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.176.5-176
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    • 2001
  • This paper presents a fuzzy dynamic output feedback controller design method for Parallel Distributed Compensation (PDC)-type Takagi-Sugeno (T-S) model based fuzzy dynamic system with H$\infty$ performance and additional constraints on the closed pole placement. Design condition for these controller is obtained in terms of the linear matrix inequalities (LMIs). The proposed fuzzy controller satisfies the disturbance rejection performance and the desired transient response. The design method is verified by this method for an inverted pendulum with a cart using the proposed method.

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Allocations and Robust ℋ Fuzzy Control for Waypoints Tracking of Large Displacement Unmanned Underwater Vehicles (대형급 무인잠수정의 임무의 중요성에 따른 목표 경로점 선정 및 제어를 위한 T-S 퍼지모델 기반 강인 ℋ 제어기 설계)

  • Kang, Hyoung Bin;Lee, Ho Jae;Kim, Sung Hoon;Park, Ho Gyu
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.2
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    • pp.402-408
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    • 2017
  • This paper deals with a robust ${\mathfrak{H}}_{\infty}$ controller design problem for waypoints tracking of large displacement unmanned underwater vehicles (LDUUVs) in Takagi-Sugeno fuzzy form. The LDUUV model uses a rudder to control its horizontal motion. We determine the order of waypoints based on their priorities and consider only surge force. A fuzzy controller in state-feedback form is taken and its design condition of is represented in terms of linear matrix inequalities. A numerical simulation is included to show the effectiveness of the theoretical development.

Design of T-S Fuzzy Model Based H Controller for Diving Control of AUV: An LMI Approach (무인 잠수정의 깊이 제어를 위한 T-S 퍼지 모델 기반 H 제어기 설계: 선형 행렬 부등식 접근법)

  • Jun, Sung-Woo;Kim, Do-Wan;Lee, Ho-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.4
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    • pp.441-447
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    • 2012
  • This paper presents a design technique of a Takagi-Sugeno (T-S) fuzzy-model-based $H_{\infty}$ controller for autonomous underwater vehicles (AUVs). The design procedure aims to render the stabilizing controller which satisfies performance of the diving control for AUVs in the presence of the disturbance. A nonlinear AUV is modeled by the T-S fuzzy system through the sector nonlinearity. By using Lyapunov function, the sufficient conditions are derived to guarantee the performance of robust depth control in the format of linear matrix inequality (LMI). To succeed for diving control of AUV, we add the constraints on the diving and pitch angles in the LMI conditions. Through the simulation, we confirm the effectiveness of the proposed methodology.

A Controller Design for an Induction Motor Using Fuzzy PI (Fuzzy PI를 이용한 유도전동기의 제어)

  • Park, Seong-Hun;Ko, Chang-Min;Lee, Hyun-Seok;Park, Seung-Kyu;Ahn, Ho-Gyun
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1725_1726
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    • 2009
  • The purpose for this paper is to obtain the ��$H_{\infty}$ LMI with fuzzy PI controller for induction motor which is nonlinear system. The controller type is PI and the control gains are obtained based on $H_{\infty}$ control problem. The PI controller is considered a part of a plant and the problem is changed to get controller with static gains. The nonlinear system is approximated as several linear systems and combined by using fuzzy technique.

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Observer-based Fault Tolerant Controller Design for T-S Fuzzy Systems (T-S 퍼지 시스템을 위한 관측기 기반 고장포용 제어기 설계)

  • Jee, Sung-Chul;Lee, Ho-Jae;Kim, Do-Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.11
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    • pp.1154-1158
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    • 2011
  • In this paper, we discuss an observer-based fault tolerant controller design for the T-S (Takagi-Sugeno) fuzzy system with exogenous disturbance. To derive robust controller design conditions, we use $H_{\infty}$ design technique. The design conditions are derived in terms of linear matrix inequalities. An illustrative example is provided to show the effectiveness of the proposed methodology.

Design of the Robust Controller for the Discrete-Time Nonlinear System with Time-Delay Via Fuzzy Approach (퍼지 기법을 이용한 시간 지연을 가지는 이산시간 비선형 시스템에 대한 강인 제어기 설계)

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2723-2725
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    • 2005
  • In this paper, a robust $H{\infty}$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-delayed state. Then parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H{\infty}$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique.

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Robust ℋ Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation (특이섭동 타카기-수게노 퍼지모델의 강인 ℋ 샘플치 제어)

  • Kang, Hyoung Bin;Moon, Ji Hyun;Lee, Ho Jae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.9
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    • pp.1524-1530
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    • 2016
  • This paper deals with a robust $H_{\infty}$ sampled-data controller design problem for nonlinear systems in Takagi-Sugeno fuzzy form with singular perturbation. The employed controller takes a state-feedback form. The design condition is represented in terms of linear matrix inequalities. A numerical examples is included to show the effectiveness of the theoretical development.

Robust and Non-fragile $H_{\infty}$ Decentralized Fuzzy Model Control Method for Nonlinear Interconnected System with Time Delay (시간지연을 가지는 비선형 상호연결시스템의 견실비약성 $H_{\infty}$ 분산 퍼지모델 제어기법)

  • Kim, Joon-Ki;Yang, Seung-Hyeop;Kwon, Yeong-Sin;Bang, Kyung-Ho;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.6
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    • pp.64-72
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    • 2010
  • In general, due to the interactions among subsystems, it is difficult to design an decentralized controller for nonlinear interconnected systems. In this study, the model of nonlinear interconnected systems is studied via decentralized fuzzy control method with time delay and polytopic uncertainty. First, the nonlinear interconnected system is represented by an equivalent Takagi-Sugeno type fuzzy model. And the represented model can be rewritten as Parameterized Linear Matrix Inequalities(PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting fuzzy controller guarantees the asymptotic stability and disturbance attenuation of the closed-loop system in spite of controller gain variations within a resulted polytopic region by example and simulations.

A Composition of H/W Systems for the Accurate Control of DC Motor (정밀 모터 제어를 위한 H/W 시스템의 구성)

  • Hwang, Hyun-Joon;Youn, Young-Dae;Kim, Dong-Wan
    • Proceedings of the KIEE Conference
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    • 2001.07e
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    • pp.17-19
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    • 2001
  • In this paper, we constitute H/W systems for the accurate control of DC servo motor. This H/W systems are designed by applying a simple genetic algorithm (SGA) to the robust $H_{\infty}$ control system and the intelligent Fuzzy control system of DC motor, respectively. To verify the effectiveness of the proposed systems, the characteristics of this systems are analysed and simulated.

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Tracking Controller for Underwater Gliders Based on T-S Fuzzy Models (T-S 퍼지 모델 기반 수중글라이더를 위한 추종 제어기)

  • Lee, Gyeoung Hak;Kim, Do Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.67 no.2
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    • pp.261-269
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    • 2018
  • In this paper, we propose a Takagi-Sugeno (T-S) fuzzy-model-based design for the tracking control of a class of nonlinear underwater glider. By using the partial linearization and the sector nonlinearity, the underwater glider with six degrees of freedom (6 DOF) is modelled by the T-S fuzzy model. The concerned tracking control problem with $H_{\infty}$ performance is converted into the stabilization one for the error dynamics between the given nonlinear underwater glider and the reference time-varying input. Sufficient conditions are derived for the asymptotic stabilizability of the error dynamics in the format of matrix inequality. Simulation results demonstrate the effectiveness of the proposed design methodology.