• Title/Summary/Keyword: H/sub ∞/ control

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H Control of Networked Control Systems with Two Additive Time-varying Delays (시변 시간지연을 갖는 네트워크 제어 시스템의 H 제어)

  • Kim, Jae Man;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.3
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    • pp.183-189
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    • 2013
  • This paper presents a stabilization method for NCS (Networked Control Systems) with two additive time-varying delays. Each time delay component between the plant and the controller has different characteristics depending on communication network, and has the upper and lower bounds. The time delay occurring from the controller to the plant has an effect on the time delay occurring from the plant to the controller, and the relationship between two delays is taken into account on the stability analysis. Based on the two additive delay components and the bound conditions, the appropriate Lyapunov-Krasovskii functional and the LMI (Linear Matrix Inequality) method derive the stability condition and the $H_{\infty}$ norm constraint for time-varying delayed NCS. Simulation results are finally given to demonstrate the effectiveness of the proposed method.

H Sampled-Data Control of Takagi-Sugeno Fuzzy System (타카기-수게노 퍼지 시스템의 H 샘플치 제어)

  • Kim, Do Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1142-1146
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    • 2014
  • This paper addresses on a $H_{\infty}$ sampled-data stabilization of a Takagi-Sugeno (T-S) fuzzy system. The sampled-data stabilization problem is formulated as a discrete-time stabilization one via a direct discrete-time design approach. It is shown that the sampled-data fuzzy control system is asymptotically stable whenever its exactly discretized model is asymptotically stable. Based on an exact discrete-time model, sufficient design conditions are derived in the format of linear matrix inequalities (LMIs). An example is provided to illustrate the effectiveness of the proposed methodology.

A Study on the Control Model Identification and H(sub)$\infty$ Controller Design for Trandem Cold Mills

  • Lee, Man-Hyung;Chang, Yu-Shin;Kim, In-Soo
    • Journal of Mechanical Science and Technology
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    • v.15 no.7
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    • pp.847-858
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    • 2001
  • This paper considers the control model identification and H(sub)$\infty$ controller design for a tandem cold mill (TCM). In order to improve the performance of the existing automatic gauge control (AGC) system based on the Taylor linearized model of the TCM, a new mathematical model that can complement the Taylor linearized model is constructed by using the N4SID algorithm based on subspace method and the least squares algorithm based on ARX model. It is shown that the identified model had dynamic characteristics of the TCM than the existing Taylor linearized model. The H(sub)$\infty$ controller is designed to have robust stability to the system parameters variation, disturbance attenuation and robust tracking capability to the set-up value of strip thickness. The H(sub)$\infty$ servo problem is formulated and it is solved by using LMI (linear matrix inequality) techniques. Simulation results demonstrate the usefulness and applicability of the proposed H(sub)$\infty$ controller.

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H Control on the Optical Image Stabilizer Mechanism in Mobile Phone Cameras (이동통신 단말기 카메라의 손떨림 보정 장치의 H 제어)

  • Lee, Chibum
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.3
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    • pp.266-272
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    • 2014
  • This study proposes a closed-loop shaping control method with $H_{\infty}$ optimization for optical image stabilization (OIS) in mobile phone cameras. The image stabilizer is composed of a horizontal stage constrained by ball bearings and actuated by the magnetic force from voice coil motors. The displacement of the stage is measured by Hall effect sensors. From the OIS frequency response experiment, the transfer function models of the stage and Hall effect sensor were identified. The weight functions were determined considering the tracking performance, noise attenuation, and stability with considerable margins. The $H_{\infty}$ optimal controller was executed using closed-loop shaping and limiting the controller order, which should be less than 6 for real-time implementation. The control algorithm was verified experimentally and proved to operate as designed.

Robust H Speed Controller Design for BLDC Motor (BLDC 모터의 강인한 H 속도 제어기 설계)

  • Jang, Sohyun;Jo, Nam-Hoon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.10
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    • pp.83-88
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    • 2015
  • Due to low cost and high reliability, Brushless DC (BLDC) motors have been widely used in control applications such as robotics, aerospace and automobile. In the high performance control systems, it is very important to maintain the desired speed even in the face of parameter uncertainties, modeling errors, and disturbance signals. In this paper, we present an $H_{\infty}$ controller for the speed control of BLDC motors to achieve better performance of disturbance rejection. In particular, we discuss how to reduce an initial peaks of control input in the proposed $H_{\infty}$ controller. Some experimental results are provided to establish the effectiveness of the proposed method.

H control of 2-mass system using partial state feedback and resonance ratio control (부분적인 상태궤환과 공진비제어를 이용한 2관성계의 H제어)

  • 김진수;유상봉
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.4
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    • pp.36-44
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    • 2003
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. To solve this problem, the two degrees of freedom H$_{\infty}$ controller was designed. But it is difficult to realize that controller. In this paper, H$_{\infty}$ control of 2-mass system using partial state feedback and resonance ratio control is proposed. Proposed controller has simple structure but satisfies the attenuation of disturbances and vibrations.

Robust $H_{\infty}$ Control of Discrete Uncertain Systems with Time Delays in States and Control Inputs (상태와 제어입력에 시간지연을 가지는 이산 불확실성 시스템의 견실 $H_{\infty}$ 제어)

  • Jong Hae Kim;Hong Bae Park
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.6
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    • pp.689-694
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    • 1998
  • 본 논문에서는 상태와 제어입력에 시간지연을 가지는 이산 불확실성 시스템의 견실 H/sub ∞/ 상태궤환 제어기 설계문제를 다룬다. 동일한 제어기에 대해서, 파라미터 불확실성을 가지는 시간지연 시스템이 자승적 안정성(quadratic stability)과 폐루프 시스템의 H/sub ∞/ 노옴의 한계를 유지하면서 파라미터 불확실성이 없는 등가의 시스템으로 변형된다. 그리고 주어진 이산 불확실성 시간지연 시스템의 견실 H/sub ∞/ 상태궤환 제어기가 존재할 충분조건과 제어기 설계 알고리듬을 제시한다. 또한 변수치환과 Schur 여수(complement) 정리를 이용하면 구한 충분조건은 LMI(linear matrix inequality) 형태로 쓸 수 있다. 예제를 통하여 제시한 결과의 타당성을 보인다.

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Effects of functional nutrients on chicken intestinal epithelial cells induced with oxidative stress

  • Hyun Woo Kim;Seung Yun Lee;Sun Jin Hur;Dong Yong Kil;Jong Hyuk Kim
    • Journal of Animal Science and Technology
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    • v.65 no.5
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    • pp.1040-1052
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    • 2023
  • The objective of this study was to investigate the protective effects of functional nutrients including various functional amino acids, vitamins, and minerals on chicken intestinal epithelial cells (cIECs) treated with oxidative stress. The cIECs were isolated from specific pathogen free eggs. Cells were exposed to 0 mM supplement (control), 20 mM threonine (Thr), 0.4 mM tryptophan (Trp), 1 mM glycine (Gly), 10 μM vitamin C (VC), 40 μM vitamin E (VE), 5 μM vitamin A (VA), 34 μM chromium (Cr), 0.42 μM selenium (Se), and 50 μM zinc (Zn) for 24 h with 6 replicates for each treatment. After 24 h, cells were further incubated with fresh culture medium (positive control, PC) or 1 mM H2O2 with different supplements (negative control, NC and each treatment). Oxidative stress was measured by cell proliferation, whereas tight junction barrier function was analyzed by fluorescein isothiocyanate (FITC)-dextran permeability and transepithelial electrical resistance (TEER). Results indicated that cell viability and TEER values were less (p < 0.05) in NC treatments with oxidative stress than in PC treatments. In addition, FITC-dextran values were greater (p < 0.05) in NC treatments with oxidative stress than in PC treatments. The supplementations of Thr, Trp, Gly, VC, and VE in cells treated with H2O2 showed greater (p < 0.05) cell viability than the supplementation of VA, Cr, Se, and Zn. The supplementations of Trp, Gly, VC, and Se in cells treated with H2O2 showed the least (p < 0.05) cellular permeability. In addition, the supplementation of Thr, VE, VA, Cr, and Zn in cells treated with H2O2 decreased (p < 0.05) cellular permeability. At 48 h, the supplementations of Thr, Trp, and Gly in cells treated with H2O2 showed the greatest (p < 0.05) TEER values among all treatments, and the supplementations of VC and VE in cells treated with H2O2 showed greater (p < 0.05) TEER values than the supplementations of VA, Cr, Se, and Zn in cells treated with H2O2. In conclusion, Thr, Trp, Gly, and VC supplements were effective in improving cell viability and intestinal barrier function of cIECs exposed to oxidative stress.

Three-Axis Autopilot Design for a High Angle-Of-Attack Missile Using Mixed H2/H Control

  • Won, Dae-Yeon;Tahk, Min-Jea;Kim, Yoon-Hwan
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.2
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    • pp.131-135
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    • 2010
  • We report on the design of a three-axis missile autopilot using multi-objective control synthesis via linear matrix inequality techniques. This autopilot design guarantees $H_2/H_{\infty}$ performance criteria for a set of finite linear models. These models are linearized at different aerodynamic roll angle conditions over the flight envelope to capture uncertainties that occur in the high-angle-of-attack regime. Simulation results are presented for different aerodynamic roll angle variations and show that the performance of the controller is very satisfactory.

Robust H Disturbance Attenuation Control of Continuous-time Polynomial Fuzzy Systems (연속시간 다항식 퍼지 시스템을 위한 강인한 H 외란 감쇠 제어)

  • Jang, Yong Hoon;Kim, Han Sol;Joo, Young Hoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.6
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    • pp.429-434
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    • 2016
  • This paper introduces a stabilization condition for polynomial fuzzy systems that guarantees $H_{\infty}$ performance under the imperfect premise matching. An $H_{\infty}$ control of polynomial fuzzy systems attenuates the effect of external disturbance. Under the imperfect premise matching, a polynomial fuzzy model and controller do not share the same membership functions. Therefore, a polynomial fuzzy controller has an enhanced design flexibility and inherent robustness to handle parameter uncertainties. In this paper, the stabilization conditions are derived from the polynomial Lyapunov function and numerically solved by the sum-of-squares (SOS) method. A simulation example and comparison of the performance are provided to verify the stability analysis results and demonstrate the effectiveness of the proposed stabilization conditions.