• Title/Summary/Keyword: $H_2$ Control

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Development of Continuous/Discrete Mixed $H_2$/H$\infty$ Filtering Design Algorithms for Time Delay Systems

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.163-168
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    • 2000
  • The problems of mixed $H_2/H_{\infty}$ filtering design fer continuous and discrete time linear systems with time delay are investigated. The main purpose is to design a stable mixed $H_2/H_{\infty}$ filter which minimizes the H$_2$Performance measure satisfying a prescribed H$_{\infty}$ norm bound on the closed loop system in continuous-time case and discrete-time case, respectively. The sufficient conditions of existence of filter, the mixed $H_2/H_{\infty}$ filter design method, and the upper bound of performance measure are proposed by LMI(linear matrix inequality) techniques in terms of all finding variables. Also, we present optimization problems in order to get the optimal mixed $H_2/H_{\infty}$ filter in continuous and discrete time case, respectively.

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Stabilizing Solutions of Algebraic Matrix riccati Equations in TEX>$H_\infty$ Control Problems

  • Kano, Hiroyuki;Nishimura, Toshimitsu
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.364-368
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    • 1994
  • Algebraic matrix Riccati equations of the form, FP+PF$^{T}$ -PRP+Q=0. are analyzed with reference to the stability of closed-loop system F-PR. Here F, R and Q are n * n real matrices with R=R$^{T}$ and Q=Q$^{T}$ .geq.0 (nonnegative-definite). Such equations have been playing key roles in optimal control and filtering problems with R .geq. 0. and also in the solutions of in H$_{\infty}$ control problems with R taking the form R=H$_{1}$$^{T}$ H$_{1}$-H$_{2}$$^{T}$ H$_{2}$. In both cases an existence of stabilizing solution, i.e. the solution yielding asymptotically stable closed-loop system, is an important problem. First, we briefly review the typical results when R is of definite form, namely either R .geq. 0 as in LQG problems or R .leq. 0. They constitute two extrence cases of Riccati to the cases H$_{2}$=0 and H$_{1}$=0. Necessary and sufficient conditions are shown for the existence of nonnegative-definite or positive-definite stabilizing solution. Secondly, we focus our attention on more general case where R is only assumed to be symmetric, which obviously includes the case for H$_{\infty}$ control problems. Here, necessary conditions are established for the existence of nonnegative-definite or positive-definite stabilizing solutions. The results are established by employing consistently the so-called algebraic method based on an eigenvalue problem of a Hamiltonian matrix.x.ix.x.

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Recovery of Plant Cell and Its Debris by pH Control (pH 조절에 의한 식물세포 및 세포조각 회수)

  • 김진현
    • KSBB Journal
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    • v.15 no.4
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    • pp.405-407
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    • 2000
  • A novel recovery method was developed to obtain the plant cell and its debris from Taxus chinensis cell cultures By pH control of plant cell cultures plant cell and debris was precipitated. The best pH is between 1.8 and 2.2 to obtain the precipitate of the plant cell and debris. Also paclitaxel is stable in this acidic conditions. This method is very simple an efficient to recover the plant cell and debris from plant cell cultures.

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Performance of LQR and H$_2$ Controller for an Experimentally-Identified Structure with AMD (AMD가 설치된 실험모델에 대한 LQR과 H$_2$제어기의 설계 및 성능비교)

  • 민경원;이승준;주석준;김홍진;박민규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.461-470
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    • 2003
  • This paper discusses a time domain controller, LQR, and a frequency domain controller, H₂, for optimal control of civil structures under seismic loads. Numerical simulations are performed on a three-story structure with Active Mass Driver (AMD), which is experimentally identified. Control effectiveness of each controller for the suppression of third floor acceleration responses is investigated when the similar maximum control force is used. Simulation results indicate that LQR is effective for acceleration response reduction while H₂ controller is efficient for utilizing control force.

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Automatic Control of pH and EC by Programmable Logic Controller in Nutriculture of Tomato(Lycopersicon esculentum Mill.) (토마토의 양액재배시 Programmable Logic Controller에 의한 pH와 EC의 자동조절)

  • 김형준;김진한;남윤일
    • Journal of Bio-Environment Control
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    • v.4 no.2
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    • pp.203-210
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    • 1995
  • Using the programmable logic controller (PLC), a kind of microcomputer, a facility to control EC and pH automatically in nutriculture of tomato was developed. A program for the automatic control of nutriculture was written in ladder diagram language. EC and pH levels of nutrition solution could be maintained at 1.70-1.72 and 6.1-6.5, respectively, during the entire growing period. Better fruits and higher yield were obtained in automatic control plot than in the control plot. Inorganic elements in plant were higher in the former than in the latter.

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Sliding Mode Control Using $H_2/H_{\infty}$ Controller ($H_2/H_{\infty}$ 제어기를 이용한 슬라이eld 모드제어)

  • Park, Seung-Kyu;Kwak, Gun-Pyong;Kim, Min-Chan
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.612-614
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    • 1999
  • In this paper a novel sliding mode control is proposed by using $H_2/H_{\infty}$ controller. this technique is constructed based on the augmented system with a virtual state and make it has the dynamics of the original system and then $H_2/H_{\infty}$ controller has robust characteristics of sliding mode control for existing parameter uncertainty. The reaching phase is excluded by setting initial virtual state value appropriately.

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Development of Mixed $H_2$/$H_{\infty}$ Controller Design Algorithms for Singular Systems with Time Delay

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.3
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    • pp.139-145
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    • 2001
  • In this paper, we consider the H$_2$(or guaranteed cost control) and H$_{\infty}$ controller design methods for singular(or descriptor) systems with input time delay. Also, a mixed H$_2$and H$_{\infty}$ controller design algorithm is treated by combination of the proposed H$_2$and H$_{\infty}$ controller design method. The sufficient conditions for the existence of controllers and controller design methods are introduced at each Lemma and Theorem. Furthermore, we present optimization problems to get the upper bound of performance measures. The proposed methods are checked by examples.

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Fuzzy H2H Controller Design for Delayed Nonlinear Systems (시간지연을 갖는 비선형 시스템의 퍼지 H2H 제어기 설계)

  • Jo, Hui-Su;Lee, Gap-Rae;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.7
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    • pp.578-583
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    • 2002
  • This paper presents a method for designing fuzzy $H_2/H_{\infty}$ controllers of nonlinear systems with time varying delay. Takagi-Sugeno fuzzy model is employed to represent nonlinear systems with time varying delay. Using a single quadratic Lyapunov function, the globally exponential stability and $H_2/H_{\infty}$ performance problem are discussed. A sufficient condition for the existence of fuzzy $H_2/H_{\infty}$ controllers is then presented in terms of linear matrix inequalities(LMls). The proposed fuzzy $H_2/H_{\infty}$ controllers minimizes the upper bound on the linear quadratic performance measure.

Analysis of Plasma Cortisol from Nursery Pigs in Outdoor Efficacy Test for Digital Content - Based Approach in Animal Welfare Convergence Types (동물 복지 융합형 디지털 콘텐츠 제작을 위한 야외효력시험에서 이유 자돈의 혈중 Cortisol 분석)

  • Choi, In-Hag;Park, Chul;Kwak, Sang-Kee;Chung, Tae-Ho
    • Journal of Environmental Science International
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    • v.29 no.5
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    • pp.575-578
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    • 2020
  • The plasma cortisol of nurserypigs was examined using an outdoor efficacy testwith a digital content-based approach in animal welfare convergence types. Nine nurserypigs,without discriminating between female and male, were classified into 2 groups of 3 pigs each: control and group 1 (effect+nature), control and group 2(effect+nature+music). The control group was the same for group 1 and 2 to compare the effects using a t-test. There was no significant difference in plasma cortisol levels between the control group and group 1 until 4 h after stress induction. However, significant differences were subsequently found between the control group and group 1 from 8 h to 72 h (p<0.05). Further, plasma cortisol was not affected in group 2 at 0 h through 8 h and 72 h. At 12 h through 48 h, group 2 showed a reduction in plasma cortisol level compared to the control group(p<0.05). These results indicated that after stress induction, applying effect plus nature or effect plus nature plus music can effectively decrease plasma cortisol levels in nursery pigs within8 h through 72 h and may serve as a better model for digital content-based approach in animal welfare convergence types.

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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