• Title/Summary/Keyword: $H^{\infty}$ controller

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A Toolbox for Robust First Order Controller Design Using Frequency Response Data (주파수 응답에 의한 1차 보상기의 강인제어기설계 도구)

  • Lim, Yeon-Soo;Jin, Lihua;Kim, Young-Chol
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.53-54
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    • 2008
  • 플랜트의 모델 없이 주파수 응답만으로 안정도와 여러 성능(이득여유, 위상여유, $H_{\infty}$ 여유)을 만족하는 1차 보상기 설계 이론이 최근에 발표되었다[1]. 그중 안정도를 만족하는 제어기의 셋을 구하는 것의 수치해를 [6]에서 제시하였고, 본 논문에서는 그것을 확장하여 여러 성능을 동시에 만족하는 셋을 구하는 알고리즘을 제시하고 그것을 이용한 MATLAB용 설계 도구를 소개한다.

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Robust Decentralized Stabilization of Large-Scale Time-Delayed Linear Systems with Uncertainties via Sliding Mode Control (슬라이딩 모드 제어에 의한 불확정성을 가진 대규모 시간지연 선형 계통의 강인 분산 안정화)

  • 박장환;유정웅
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.2
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    • pp.139-144
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    • 1999
  • The present paper is concerned with the robust decentralized stabilization problem of large-scale systems with time delays in the interconnections using sliding mode control. Based on Lyapunov stability theorem and H$_{\infty}$ theory, an existence condition of the sliding mode and a robust decentralized sliding mode controller are newly derived for large-scale systems under mismatched uncertainties. Finally, a numerical example is given to verify the validity of the results developed in this paper.

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Robust Control of Horizontal-Shaft Magnetic Bearing System considering Pole Assignment Region (극 영역을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어)

  • 김창화;추만석;양주호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.21-21
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    • 2000
  • In this paper, we design the state feedback gain using linear matrix inequality(LMI) to the multiobjective synthesis, in the magnetic bearing system with integral type servo system. The design objectives can be a H$\_$$\infty$/ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-lnp pole location. To the end, we investigated the validity of the designed controller through results of simulation.

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Strong Stabilization Controller Design Using Advanced Unit Interpolation algorithm (개선된 Unit 보강 알고리즘을 이용한 강안정화 제어기 설계)

  • 윤한오;신창훈;박홍배
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.8
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    • pp.31-38
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    • 1994
  • This paper presents an improved interpolation algorithm which enables to find a unit function in $H^{\infty}$. From the proposed algorithm the interpolation problem on the infinity point with multiplicity can be solved. This is based on the DPL algorithm the acquired unit function has low order and can be directly applied to strong/simultaneous stabilization problem in control systems. Finally, we verify that poles of transfer function of closed-loop system exist in stable region while investgating internal stability.

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Robust Controller Design for Parametrically Uncertain System

  • Tipsuwanporn, V.;Piyarat, W.;Witheephanich, K.;Gulpanich, S.;Paraken, Y.
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.92-95
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    • 1999
  • The design problem of the control system is the ability to synthesize controller that achieve robust stability and robust performance. The paper explains the Finite Inclusions Theorem (FIT) by the procedure namely FIT synthesis. It is developed for synthesizing robustly stabilizing controller for parametrically uncertain system. The fundamental problem in the study of parametrically uncertain system is to determine whether or not all the polynomials in a given family of characteristic polynomials is Hurwitz i.e., all their roots lie in the open left-half plane. By FIT it can prove a polynomial is Hurwitz from only approximate knowledge of the polynomial's phase at finitely many points along the imaginary axis. An example shows the simplicity of using the FIT synthesis to directly search for robust controller of parametrically uncertain system by way of solving a sequence of systems of linear inequalities. The systems of inequalities are solved via the projection method which is an elegantly simple technique fur solving (finite or infinite) systems of convex inequalities in an arbitrary Hilbert space. Results from example show that the controller synthesized by FIT synthesis is better than by H$\sub$$\infty$/ synthesis with parametrically uncertain system as well as satisfied the objectives for a considerably larger range of uncertainty.

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Robust Control of the Position of a Manipulator Using Pneumatic Artificial Muscle (공압인공근육을 이용한 조작기 위치의 강인제어)

  • Park, No-Cheol;Yang, Hyun-Seok;Park, Young-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.6
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    • pp.1882-1892
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    • 1996
  • This paper is concerned with the position control of the ond degree-of freedom manipulator using pneumatic artificial muscle actuator which is built to have a proper compliance. For t his pneumatic artificial muscle actuator though, it is difficult to make an effective control scheme due to the nonlinearity and uncertainties on the dynamics of the actuator. In this paper, a third-order equation of motion is derived for the actuator including the dynamics of the pneumatic servovalve. Later, various modeling uncertainties due to the nonlinearity and unmodeled dynamics of the servo vlave and the actuator are taken care of, as a trade-off between the closed-loop performance of the controlled system and its robustness to uncertainties. A controller using .mu. synthesis thchnique is designed, and robust performance against measurement noise, various modeling uncertainties due to the dynamics of the servo valve and actuator is achieved. The effectiveness of the proposed control methods is illustrated through simulations and experiments.

Position and Vibration Control of a Flexible Manipulator Using $\mu$-Synthesis ($\mu$-합성법에 의한 유연한 조작기의 위치 및 진동제어)

  • Park, No-Cheol;Yang, Hyun-Seok;Park, Young-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3186-3198
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    • 1996
  • When a robot is to have contact with its enviornment, such as a medi-care robot, it would be advantageous for the robot to have a high compliance. For this reason, a robot having not only a flexible link but also an actuator with compliance, is desirable. This paper is concerned with the position and vibration control of 1 degree of freedom flexible robot using a pneumatic artificial muscle actuator. The dynamics of the manipulator assumed to be and Euler-Bernoulli beam are derived on the basis of the linear mathematical modle. Although this pneumatic artifical muscle actuator has many merits for the compliance robot, it is difficult to make an effective control scheme of this system because of ths nonlinearity and uncertainty on the dynamics of the actuator. By designing a controller using .mu.-synthesis, robust performance against measurement noise, various modeling uncertainties on the dynamics of the servo valve, actuator and mainpulator, is achieved. The effectiveness of the proposed control method is illustrated through simulations and experiments.

Control of Active Suspension System Using $H_{inf}$ And Adaptive Robust Control ($H_{inf}$와 로버스트 적응 제어기를 이용한 능동 현가 시스템의 제어)

  • Bui, Trong Hieu;Nguyen, Tan Tien;Park, Soon-Sil;Kim, Sang-Bong
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.694-699
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    • 2001
  • This paper presents a control of active suspension system for quarter-car model with two-degree-of-freedom using $H_{inf}$ and nonlinear adaptive robust control method. Suspension dynamics is linear and treated by $H_{inf}$ method which guarantees the robustness of closed loop system under the presence of uncertainties and minimizes the effect of road disturbance to system. An Adaptive Robust Control (ARC) technique is used to design a force controller such that it is robust against actuator uncertainties. Simulation results are given for both frequency and time domains to verify the effectiveness of the designed controllers.

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Design of Guidance and Control System for X-plane Submarine (X타 수중함의 유도·제어시스템 설계)

  • Park, Jong-Yong;You, Youngjun;Jeon, Myungjun;Yoon, Hyeon-Kyu
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.5
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    • pp.306-313
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    • 2022
  • Most submarines use the cross-plane, which is convenient and inexpensive, but the number of submarines equipped with an X-plane is increasing recently. This study focuses on designing the control system of the X-plane submarine with various control methods and analyzing the effect of each controller. First, a maneuvering simulation environment for a subjected submarine is established. The dynamics and the operating range of control surfaces are considered. Second, a depth and heading control system of the submarine, which can be divided into three parts, is designed: guidance, controller, and control allocation. The guidance system generates a smooth desired depth and heading. The controller is designed using Proportional-Integral-Differential (PID), Linear Quadratic Regulator (LQR), and H-infinity (H∞) control methods. A linear control allocation method is used to distribute control moment calculated by the controller to the control surfaces. Finally, the designed control system is applied to a subjected X-plane submarine, and a depth and heading control simulations are performed. Each control method is compared and analyzed under various simulation conditions.

Robust motion control of a flexible micro-actuator using $H_{\infty}$ control method

  • Okugawa, Masayuki;Sasaki, Minoru;Fujisawa, Fumio
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.397-400
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    • 1996
  • In this paper, robust motion control of a flexible micro-actuator is presented. The actuator is made of a bimorph piezoelectric high-polymer material (PVDF). No mathematical model system can exactly model a physical system such a flexible micro-actuator. For this reason we must be aware of how modeling errors might adversely affect the performance of a control system for such a model. The H method addresses a wide range of the control problems, combining the frequency and time domain approaches. The design is an optimal one in the sense of minimization of the maximum of the closed-loop transfer function. It includes colored measurement and process noise. It also addresses the issues of robustness due to model uncertainties, and is applicable to the, flexible micro-actuator control problem. Therefore, we adopt the H control problem to the robust motion control of the flexible micro-actuator. Theoretical and experimental results demonstrate the satisfactory performance and the effectiveness of the designed controller. the effectiveness of the designed controller.

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