• Title/Summary/Keyword: H$_\infty$controller

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TCSC $H{\infty}$ Controller Design for Damping Interarea Oscillations (지역간 진동모드 제동을 위한 $H{\infty}$-TCSC 최적 제어기 설계)

  • Kim, Yong-Gu;Nam, Hae-Kon;Jeon, Young-Hwan;Shim, Kwan-Shik;Song, Sung-Geun
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1032-1034
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    • 1999
  • The design of an $H{\infty}$ controller for a TCSC to enhance the damping of an inter-area oscillation in a Power system is presented. The paper describes a comprehensive and systematic way of applying the $H{\infty}$ control design algorithm in power systems. Eigen sensitivity analysis to selction a TCSC location is described. Time simulation and eigenvalue analysis show that the proposed TCSC $H{\infty}$ controller can suppress the inter-area oscillations efficiently with robustness.

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A Study on the $H_{\infty}$ Robust Controller of Sliding Mode (슬라이딩 모드를 이용한 강인한 $H_{\infty}$ 제어기의 설계)

  • Park, Seung-Kyu;An, Ho-Kyun;Kim, Min-Chan
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.747-749
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    • 1998
  • A new $H_{\infty}$ robust controller is proposed by using Sliding Mode Control (SMC). The combination of $H_{\infty}$ with SMC is achieved by proposing a novel sliding surface which has a virtual state. This sliding surface has the nominal dynamics of an original system controlled by $H_{\infty}$ controller. Its design is based on the augumented system whose dynamics have one higher order than that of the original system. The reaching phase is removed by setting an initial virtual state which makes the initial sliding function equal to zero.

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H(sub)$\infty$ Design for Decoupling Controllers Based on the Two-Degree-of-Freedom Standard Model Using LMI Methods (LMI 기법을 이용한 2자유도 표준모델에 대한 비결합 제어기의 H(sub)$\infty$ 설계)

  • Gang, Gi-Won;Lee, Jong-Sung;Park, Kiheon
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.3
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    • pp.183-192
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    • 2001
  • In this paper, the decoupling H(sub)$\infty$ controller which minimizes the maximum energy in the output signal is designed to reduce the coupling properties between the input/output variables which make it difficult to control a system efficiently. The state-space formulas corresponding to the existing transfer matrix formulas of the controller are derived for computational efficiency. And for a given decoupling $H_{\infty}$ problem, an efficient method are sought to find the controller coefficients through the LMI(Linear Matrix Inequalities) method by which the problem is formulated into a convex optimization problem.

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Robust Trajectory Control of a Hydraulic Excavator using Disturbance Observer in $H_\infty$Framework ($H_\infty$구조의 외란 관측기를 이용한 유압 굴삭기의 강인한 궤적 제어)

  • 최종환;김승수;양순용;이진걸
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.10
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    • pp.130-140
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    • 2003
  • This paper presents an $H_\infty$controller synthesis based on disturbance observer for the trajectory control of a hydraulic excavator. Compared to conventional robot manipulators driven by electrical motors, hydraulic excavator have more nonlinear and coupled dynamics. In particular, the interactions between an excavation tool and the materials being excavated are unstructured and complex. In addition, its operating modes depend on working conditions, which make it difficult to not only derive the exact mathematical model but also design a controller systematically. In this study, the approximated linear model obtained through off-line system identification is used as nominal plant model for a disturbance observer. A disturbance observer based tracking controller which considers the effect of disturbance and model uncertainty is synthesized in $H_\infty$frameworks. Simulation results are used to demonstrate the applicability of the proposed control scheme.

Observer-based $H_{\infty}$ Controller Design for Linear Time-delay Systems (선형 시간지연 시스템의 관측기 기반 $H_{\infty}$ 제어기 설계)

  • Lee, Hee-Song;Ma, Sam-Sun;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1967-1969
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    • 2001
  • This paper deals with the design of observer-based $H_{\infty}$ controller for linear time-delay systems. By adapting the model transformation and Lyapunov theorem, we presents a sufficient condition which meets the prescribed $H_{\infty}$ norm upper bound from the exogenous disturbances to the measured outputs. The conditions are expressed in terms of coupled two matrix inequalities, and the $H_{\infty}$ controller and the observer are obtained by checking the feasibility of two matrix inequalities. Finally, we shows the usefulness of our result by an example.

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Weighted Integral H Control of Induction Motor using T-S fuzzy (T-S 퍼지를 사용한 유도전동기의 가중적분 H 제어)

  • Kim, Min-Chan;Park, Seung-Kyu;Yoon, Tae-Sung;Kwak, Gun-Pyong;Ahn, Ho-Gyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.6
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    • pp.1399-1408
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    • 2013
  • This paper proposes a new $H_{\infty}$ T-S fuzzy controller with a novel integral control for induction motors which have nonlinear dynamics. The $H_{\infty}$ T-S fuzzy controller is used for the nonlinearity and robustness and weighted integral is used for tracking problem and control performance. A T-S Fuzzy controller is the fuzzy combination of local linear controllers considering the overall stability, and LMI(Linear Matrix Inequlity) is used for determining the gains of linear controllers. The tracking problem of an induction motor is changed into regulator problem by introducing the integral control technique with weighting factor, diminishing the conservatism of $H_{\infty}$ T-S fuzzy controller.

$H_ {\infty}$ PID Controller Design for an Attraction Type Magnetic Levitation System (흡인식 자기부상시스템의 $H_ {\infty}$ PID 제어기 설계)

  • Kim, Seog-Joo;Kim, Chun-Kyung;Kwon, Soon-Man
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.9
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    • pp.1624-1627
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    • 2008
  • This paper deals with a linear matrix inequality (LMI) approach to the design of a PID controller for an attraction type magnetic levitation system. First, we convert the $H_ {\infty}$ PID controller problem into a static output feedback problem. We then solve the static output problem by using the recently developed penalty function method. Numerical experiments show the effectiveness of the proposed algorithm.

East H$_{\infty}$ Gain Scheduling for Uncertain Nonlinear Systems

  • Lee, Seon-Ho;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.362-366
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    • 1998
  • This paper proposes a fast H$\sub$$\infty$/ gain scheduled controller that stabilizes the uncertain nonlinear system with exogenous signals. The controller is constructed at a distinct and fixed value of exogenous signals using H$\sub$$\infty$/ syn-thesis methodology. Then the constructed controller set is switched for the wide range of variation of exogenous signals. Using the derivative gain, the number of constructed and engaged controllers for the fast varying exogenous signal is reduced.

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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.

A Design of Robust Vibration Control System for a Four-story Shear Structure (4층 층상 구조물에 대한 강인한 진동 제어 시스템 설계)

  • Yang, J.H.;Jeong, H.H.;Jeong, H.J.
    • Journal of Power System Engineering
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    • v.7 no.1
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    • pp.60-67
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    • 2003
  • This paper introduces basic study how to restrain the vibration of a four story shear structure. We have modeled a four story shear structure mathematically and have identified each parameters by experiment. We have gotten a reduced nominal model through modal analyzing method and the $H_{\infty}$ control theory is used in the control system design to get the robust controller. It's shown that the desirable performances is confirmed through the mathematical simulation. And a designed controller applying the $H_{\infty}$ control theory shows the good performance for the impulse disturbance through the simulation results. That is, the robustness of this control system is confirmed for the ability of disturbance rejection and modeling error.

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