• Title/Summary/Keyword: H-Infinity

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H-infinity Control System Design for a Quad-rotor (쿼드로터의 H-infinity 제어시스템 설계)

  • Kang, Taesam;Yoon, Kwang Joon;Ha, Tae-Hyun;Lee, Gigun
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.1
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    • pp.14-20
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    • 2015
  • This paper describes the design of a robust H-infinity attitude controller for a quad-rotor. The linear model of a quad-rotor was estimated using PEM (Prediction Error Minimization) method with experimental input and output data. To design an attitude controller, an extended plant was constructed by adjusting several uncertainties and weighting functions. An H-infinity controller was obtained by applying H-infinity methodology to the extended plant. Through frequency-domain analysis, it was shown that the designed controller can overcome uncertainties up to 75% of the plant model. The performance and robustness of the controller were verified through time-domain simulation.

H-infinity controller design for robust speed control against disturbance and model uncertainty of DC motors (외란과 모델 불확실성에 강인한 DC모터의 속도 제어용 H-infinity 제어기 설계)

  • JEONG, Tae-Young;KIM, Dong-Geun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.58 no.3
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    • pp.241-250
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    • 2022
  • This paper describes the design of H-infinity controller for robust control of a DC motor system. The suggested controller can ensure robustness against disturbance and model uncertainty by minimizing H-infinity norm of the transfer function from exogenous input to performance output and applying the small gain theorem. In particular, the controller was designed to reduce the effects of disturbance and model uncertainty simultaneously by formalizing these problems as a mixed sensitivity problem. The validity of the proposed controller was demonstrated by computer simulations and real experiments. Moreover, the effectiveness of the proposed controller was confirmed by comparing its performance with PI controller, which was tested under the same experimental condition as the H-infinity controller.

Application of the H Infinity Control Principle to the Sodium Ion Selective Gating Channel on Biological Excitable Membranes

  • Hirayama, Hirohumi
    • International Journal of Control, Automation, and Systems
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    • v.2 no.1
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    • pp.23-38
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    • 2004
  • We proposed the infinity control principle to evaluate the Biological function. The H infinity control was applied to the Sodium (Na) ion selective gating channel on the excitable cellular membrane of the neural system. The channel opening, closing and inactivation processes were expressed by movements of three gates and one inactivation blocking particle in the channel pore. The rate constants of the channel state transition were set to be voltage dependent. The temporal changes in amounts per unit membrane area of the channel states were expressed by means of eight differential equations. The biochemical mimetic used to complete the Na ion selective channel was regarded as noise. The control inputs for ejecting the blocking particle with plugging in the channel pore were set for the active transition from inactivated states to a closed or open state. By applying the H infinity control, we computed temporal changes in the channel states, observers, control inputs and the worst case noises. The present paper will be available for evaluating the noise filtering function of the biological signal transmission system.

H infinity controller design for induction motor with low speed (유도전동기의 저속운전을 위한 H infinity 제어기 설계)

  • Ban, Gi-Jong;Yoon, Kwang-Ho;Choi, Sung-Dai;Park, Jin-Soo;Nam, Moon-Hyon;Kim, Lark-Kyo
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.696-698
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    • 2004
  • In this paper we design $H_{\infty}$ infinity controller for Induction motor with low speed operation. $H_{\infty}$ controller is applied in order to design a state feedback static controller for field oriented control of an induction motor. $H_{\infty}$ controller are linear plant can be set up using the same assumptions that are at the basis of field oriented control. Thus, $H_{\infty}$ control theory can be successfully used to set up a state feedback controller for field oriented control of an induction motor. The performances of the $H_{\infty}$ controller is numerically analysed and experimentally verified to prove the validity of the design procedure. In this paper show that performances with high robustness to variations of system parameter.

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Performance Comparison in Estimating the Number of Competing Terminals in IEEE 802.11 Networks (Kalman vs. H Infinity Filter) (IEEE 802.11 시스템에서 경쟁 터미널 수 추정기법 성능분석 (칼만필터 vs. H Infinity Filter))

  • Kim, Taejin;Lim, Jaechan;Hong, Daehyoung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37A no.11
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    • pp.1001-1011
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    • 2012
  • In this paper, the effects to system performance are evaluated in IEEE 802.11 system when the number of competing terminals are estimated and reflected to the system. The IEEE 802.11 system uses DCF (Distributed Coordination Function) for the multiple access method, and the system throughput performance depends on the accuracy of the estimated number of competing terminals. We propose extended H infinity filter (EHIF) approach which does not require the noise information for estimating the number of competing terminals. Simulation results show that EHIF outperforms the extended Kalman filter in both saturated and non-saturated network conditions.

H-infinity Speed Controller Design for BLDC Motor using DSP (DSP를 이용한 BLDC 모터의 H-infinity 속도 제어기 설계)

  • Jang, So-Hyun;Ko, Da-Som;Jo, Nam-Hoon
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.1294-1295
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    • 2015
  • BLDC 모터는 고효율, 비 관성에 의한 큰 토크, 제어의 단순성과 같은 뚜렷한 장점들 때문에 일반적으로 로봇공학 및 항공 우주, 자동차 같은 응용 분야에 널리 사용된다. 따라서 사용자가 원하는 속도를 일정하게 유지하는 것은 중요하다. BLDC 모터는 무게 변화와 같은 파라미터 변화나 센서 잡음, 외부환경 변화에 따른 외란의 영향이 항상 존재하게 된다. 하지만 일반적인 제어기 설계방법으로는 파라미터 변화, 센서 잡음이나 외란의 영향에 효과적으로 대응하는 것이 쉽지 않다. 본 논문에서는 강인 제어 기법 중 하나인 H-infinity 제어기법을 BLDC 모터에 적용하여 속도제어기를 설계하였다. 또한 DSP 구현을 통하여 일반적으로 널리 사용되는 PI 제어기와의 비교를 통해 H-infinity 속도 제어기의 우수성을 보였다.

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Controller Design of BLDC Motor Fin Position Servo System by Employing H-infinity Loop Shaping Method (H-infinity Loop Shaping 방법을 이용한 BLDC 전동기 핀 위치제어시스템 제어기 설계)

  • Zhu, He-Lin;Mok, Hyung-Soo;Lee, Hyeong-Geun;Han, Soo-Hee;Seo, Hyeon-Uk
    • The Transactions of the Korean Institute of Power Electronics
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    • v.24 no.1
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    • pp.49-55
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    • 2019
  • This study proposes a robust control of a fin position servo system using the H-infinity loop-shaping method. The fin position control system has a proportional (P) position controller and a proportional-integral (PI) controller. In this work, the position control loop requires a wide bandwidth. No current control loop exists due to the compact design of the system. Hence, the controller parameters are difficult to determine using the traditional cascade design method. The $H_{\infty}$ controller design method is used to design the controller's gain to achieve good performance and robustness. First, the transfer function of the system, which can be divided into tunable and fixed parts, is derived. The tunable part includes the position P controller and speed PI controller. The fixed part includes the rest of the system. Second, the optimized controller parameters are calculated using Matlab $H_{\infty}$ controller design program. Finally, the system with optimized controller is tested by simulation and experiment. The control performance is satisfactory, and the $H_{\infty}$ controller design method is proven to be valid.