• Title/Summary/Keyword: H Control

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Design of an LMI- Based H^{\infty} Servo Controller for Tandem Cold Mill (LMI 에 기초한 연속 냉간압연기의 H^{\infty} 서보 제어기 설계)

  • Kim, In-Soo;Hwang, I-Cheol;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.1
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    • pp.25-34
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    • 2000
  • In this paper, we design a H^\infty servo controller for gauge control of tandem cold mill. To improve the performance of the AGC(Aotomatic Gauge Control) system based on the Taylor linearized model of tandem cold mill, the H^\infty servo controller is designed to satisfy robust stability, disturbance attenuation and robust tracking properties. The H^\infty servo controller problem is modified as an usual H^\infty control problem, and the solvability condition of the H^\infty servo problem depends on the solvability of the modified H^\infty control problem. Since this modified problem does not satisfied standard assumptions for the H^\infty control problem, it is solved by an LMI(Linear Matrix Inequality) technique. Consequently, the comparison between the H^\infty servo controller and the existing PID/FF(FeedForward) controller shows the usefulness of this study.

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A robust generalized predictive control which guarantees $H_{\infty}$ norm bounds ($H_{\infty}$노옴조건을 만족하는 강인한 일반형예측제어기)

  • 이영일;김용호;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.556-559
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    • 1996
  • In this paper, we suggest a H center .inf. generalized predictive control(H center GPC) which guarantees $H_{\infty}$-norm bounds. THe suggested control is obtained by solving the min-max problem in nonrecursive forms. The stability conditions of the suggested control are derived in a somewhat simple form and it is not required for the derived solution to be a saddle point solution. It is also shown that the suggested control guarantees the $H_{\infty}$-norm bounds under the same conditions of stability.

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Parallel Robust $H_{\infty}$ Control for Weakly Coupled Bilinear Systems with Parameter Uncertainties Using Successive Galerkin Approximation

  • Kim, Young-Joong;Lim, Myo-Taeg
    • International Journal of Control, Automation, and Systems
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    • v.4 no.6
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    • pp.689-696
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    • 2006
  • This paper presents a new algorithm for the closed-loop $H_{\infty}$ composite control of weakly coupled bilinear systems with time-varying parameter uncertainties and exogenous disturbance using the successive Galerkin approximation(SGA). By using weak coupling theory, the robust $H_{\infty}$ control can be obtained from two reduced-order robust $H_{\infty}$ control problems in parallel. The $H_{\infty}$ control theory guarantees robust closed-loop performance but the resulting problem is difficult to solve for uncertain bilinear systems. In order to overcome the difficulties inherent in the $H_{\infty}$ control problem, two $H_{\infty}$ control laws are constructed in terms of the approximated solution to two independent Hamilton-Jacobi-Isaac equations using the SGA method. One of the purposes of this paper is to design a closed-loop parallel robust $H_{\infty}$ control law for the weakly coupled bilinear systems with parameter uncertainties using the SGA method. The other is to reduce the computational complexity when the SGA method is applied to the high order systems.

The $H_2/ H_\infty$ control of inverted pendulum system using linear fractional representation (도립진자 시스템에 선형 분수 표현법을 이용한 $H_2/ H_\infty$ 제어)

  • 곽칠성;최규열
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.4
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    • pp.875-885
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    • 1999
  • This paper presents an application of LMI-based techniques to the mixed $H_2/ H_\infty$ control of an inverted pendulum. The linear model of the inverted pendulum represented by an LFR(Linear Fractional Representation) model of uncertainties is derived. Considered uncertainties are three nonlinear components and a parameter uncertainty Augmenting the LFR model by adding weighting functions, we get a generalized plant, for which we design a mixed $H_2/ H_\infty$ controller using the LMI technique. To evaluate control performances and robust stability of the mixed $H_2/ H_\infty$ controller designed, we compare it with the $ H_\infty$controller through the simulation and experiment. The mixed $H_2/ H_\infty$ controller shows the better control performances and robust stability than the $H_\infty$controller in the sense of pendulum angle.

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Spectral Reflectance Patterns by Artificial Acid Rain in Pinus and Quercus species

  • Lee, Seong-Ho;Kim, Cheol-Min;Oh, Dong-Ha
    • Proceedings of the KSRS Conference
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    • 1998.09a
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    • pp.382-386
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    • 1998
  • The objectives of this study are to reveal relationship between tree physiology and spectral reflectance on effects of artificial acid rain and to obtain basic data on optimal wave length for forest of LRC sensor on KOMPSAT-2. Three pH levels of artificial acid rain - control, pH4.5 and pH3.0 - were applied to Pinus and Quercus species. Three types of the acid rain were spraied at the amount of 500m1 in every two days. Spectral reflectance data was collected once in a month by using GER 1500 (350~2500nm) or Ll 1800(300~1100nm) Spectroradiometer. The data was measured three times in a pH level. The results of this study are as follows; in April, the spectral reflectance of Pinus species was high in order at the level of pH3.0, control and pH4.5; in May, control, pH3.0 and pH4.5; in June, control, pH4.5 and pH3.0. That of Quercus species was high in the order of control, pH4.5 and pH3.0 in May; in June, control, pH3.0 and pH4.5, especially, within infrared wave length range, control, pH4.5 and ph3.0.

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Robust $H_{\infty}$ Control for Bilinear Systems with Parameter Uncertainties via output Feedback

  • Kim, Young-Joong;Lee, Su-Gu;Chang, Sae-Kwon;Kim, Beom-Soo;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.386-391
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    • 2003
  • This paper focuses on robust $H_{\infty}$ control for bilinear systems with time-varying parameter uncertainties and exogenous disturbance via output feedback. $H_{\infty}$ control is achieved via separation into a $H_{\infty}$ state feedback control problem and a $H_{\infty}$ state estimation problem. The suitable robust stabilizing output feedback control law can be constructed in term of approximated solution to x-dependent Riccati equation using successive approximation technique. Also, the $H_{\infty}$ filter gain can be constructed in term of solution to algebraic Riccati equation. The output feedback control robustly stabilizes the plant and guarantees a robust $H_{\infty}$ performance for the closed-loop systems in the face of parameter uncertainties and exogenous disturbance.

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Speed Control of the Low Speed Diesel Engine by $H_{\infty}$ Controller Design Method ($H_{\infty}$ 제어기법을 이용한 저속디젤기관의 속도제어)

  • 양주호;정병건
    • Journal of Advanced Marine Engineering and Technology
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    • v.17 no.5
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    • pp.63-70
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    • 1993
  • In 1980's to 1990's the marine propulsion diesel engines have been developed into lower speed and longer stroke for the energy saving(small S.F.O.C.). As these new trends the convetional mechnical-hydraulic governors were not adapted to the new requirements and the digital governors have been adopted in the marine use. The digital governors usually use the control algorithms such as the PID control, optimal control, adaptive control and etc. While the engine has delay time and parameter variations these control algorithms have difficulty in considering the stability and the robustness for the model uncertainty. In this study, the $H_{\infty}$ controller design method are applied to the speed control of the low speed marine diesel engine. By comparison the $H_{\infty}$ control results with the PID control results, the validity of the $H_{\infty}$ controller under the delay time and parameter variations is confirmed.

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Dietary Effect of Hemicellulose from Shiitake Mushroom(Lentinus edodes) on Blood Glucose and Cholesterol Content in Rats (표고버섯 헤미셀룰로즈의 식이가 쥐의 혈당과 콜레스테롤 함량에 미치는 영향)

  • 김순동;김미향;이명예
    • Journal of the East Asian Society of Dietary Life
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    • v.14 no.3
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    • pp.243-250
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    • 2004
  • The effect of hemicellulose extracted from Shiitake mushroom(Lentinus edodes) on the level of blood sugar and cholesterol in the diabetes-induced rat by streptozotocin(STZ) was investigated. The yield of hemicellulose by extraction process of 5% salt extraction, preparation of alcohol insoluble substance, IN KOH extraction, acid precipitation(pH 3.0), and dialysis was 9.24%. The experimental plots divided to 1% cellulose group(control), 0.5% hemicellulose group(H-l) and 1% hemicellulose group(H-2). The groups were fed for 6 weeks, then continuously fed for 1 week after induction of diabetes by STZ. Feed intakes, weight gain and feed efficiency of the each groups were not significantly different, while water intakes and liver weight of H-2 group were lower than those of control and H-l group. Weight of liver in the H-2 group was significantly lower than those of control and H-l groups. The amounts of feces were 0.32 g/day in the control group, 0.43∼0.44 g/day in the H-l and H-2 groups, while the amounts of urine were 15.28 mL/day in the control group, 10.83∼11.20 mL/day in the H-l and H-2 groups. The content of blood glucose before diabetes induction(fed for 3∼5 weeks) was 111.2-132.6 mg/dL in the control group, not significantly different from others; After diabetes induction, however, the contents were 212.8 mg/dL in the control group, 140.0-144.0 mg/dL in the H-l and H-2 groups, which showed significant difference. Urine glucose contents of H-2 group before and after diabetes induction were lower than those of control and H-l groups. There was no significant difference in the content of neutral lipid between each groups. Total cholesterol contents were 101.6 mg/dL in the control group, 56.∼64.0 mg/dL in the hemicellulose groups. HDL-cholesterol content and atherogenic index of hemicellulose groups were lower than those of control group, respectively. In conclusion, the hemicellulose extracted from Shiitake mushroom represented improving and preventing effects for diabetes.

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Mixed $H_2/H_{\infty}$ Finite Memory Controls for Output Feedback Controls of Discrete-time State-Space Systems

  • Ahn, Choon-Ki;Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.529-534
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    • 2005
  • In this paper, a new type of output feedback control, called a $H_2/H_{\infty}$ fnite memory control (FMC), is proposed for deterministic state space systems. Constraints such as linearity, unbiasedness property, and finite memory structure with respect to an input and an output are required in advance to design $H_2/H_{\infty}$ FMC in addition to the performance criteria in both $H_2$ and $H_{\infty}$ sense. It is shown that $H_2$, $H_{\infty}$, and mixed $H_2/H_{\infty}$ FMC design problems can be converted into convex programming problems written in terms of linear matrix inequalities (LMIs) with some linear equality constraints. Through simulation study, it is illustrated that the proposed $H_2/H_{\infty}$ FMC is more robust against uncertainties and faster in convergence than the existing $H_2/H_{\infty}$ output feedback control schemes.

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A Vibration Control of Multi-layer Structure by LQ Type $H_{\infty}$ Control Theory (LQ 형 $H_{\infty}$ 제어기법에 의한 다층 구조물의 진동제어)

  • Yang, J.H.;Jeong, H.J.;Kim, C.H.;Byun, J.H.;Sim, S.H.
    • Journal of Power System Engineering
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    • v.2 no.2
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    • pp.41-46
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    • 1998
  • This paper presents the vibration control for the two degree-of-freedom which is a reduced model of multi-layer structure. This reduced model is designed for the first and second order resonance in the low frequency domain where the disturbance such as the earth quake has the large energy. And a designed controller using the LQ type $H_{\infty}$ control theory shows the good performance for the impulse disturbance through the experimental results and the simulation results respectively.

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