• Title/Summary/Keyword: State-space approach

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A State Space Approach to $H_{\infty}$ Control of State Delayed Systems (상태변수에 시간지연이 있는 시스템의 강인한 제어기 설계)

  • Kwon, Wook-Hyun;Lee, Joon-Hwa
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.129-133
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    • 1989
  • In this paper, a robust controller of state delayed systems is presented. The suggested controller stabilizes the closed loop system independently of the delay time. It is shown that the controller reduces the effect of disturbances on the output of the given system to a pre-specified level. The proposed controller will stabilize the closed loop system in the presence of plant perturbations whose size are less than a pre-specified value.

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A Study on the $H_{\infty}$ Controller of the Novel Sliding Mode - State Space Approach (새로운 슬라이딩 모드를 이용한 $H_{\infty}$ 제어기의 설계 - 상태공간 접근방법)

  • Kim, Min-Chan;Park, Seung-Kyu;Kwak, Gun-Pyong
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.915-917
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    • 1999
  • In this paper, a novel sliding surface is proposed by introducing a virtual state. This sliding surface has nominal dynamics of an original system and makes it possible that the Sliding Mode Control(SMC) technique is combined with the $H_{\infty}$ controller. Its design is based on the augument 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 switching function equal to zero.

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[ $H_{\infty}$ ] Multi-Step Prediction for Linear Discrete-Time Systems: A Distributed Algorithm

  • Wang, Hao-Qian;Zhang, Huan-Shui;Hu, Hong
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.135-141
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    • 2008
  • A new approach to $H_{\infty}$ multi-step prediction is developed by applying the innovation analysis theory. Although the predictor is derived by resorting to state augmentation, nevertheless, it is completely different from the previous works with state augmentation. The augmented state here is considered just as a theoretical mathematic tool for deriving the estimator. A distributed algorithm for the Riccati equation of the augmented system is presented. By using the reorganized innovation analysis, calculation of the estimator does not require any augmentation. A numerical example demonstrates the effect in reducing computing burden.

Unbound Protein-Protein Docking Using Conformational Space Annealing

  • Lee, Kyoung-Rim;Joo, Kee-Hyoung;Lee, Joo-Young
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2005.09a
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    • pp.294-299
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    • 2005
  • We have studied unbound docking for 12 protein-protein complexes using conformational space annealing (CSA) combined along with statistical pair potentials. The CSA, a powerful global optimization tool, is used to search the conformational space represented by a translational vector and three Euler amgles between two proteins. The energy function consists of three statistical pair-wise energy terms; one from the distance-scaled finite ideal-gas reference state (DFIRE) approach by Zhou and the other two derived from residue-residue contacts. The residue-residue contact terms describe both attractive and repulsive interactions between two residues in contact. The performance of the CSA docking is compared with that of ZDOCK, a well-established protein-protein docking method. The results show that the application of CSA to the protein-protein docking is quite successful, indicating that the CSA combined with a good scoring function is a promising method for the study of protein-protein interaction.

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RIGIDITY AND NONEXISTENCE OF RIEMANNIAN IMMERSIONS IN SEMI-RIEMANNIAN WARPED PRODUCTS VIA PARABOLICITY

  • Railane Antonia;Henrique F. de Lima;Marcio S. Santos
    • Journal of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.41-63
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    • 2024
  • In this paper, we study complete Riemannian immersions into a semi-Riemannian warped product obeying suitable curvature constraints. Under appropriate differential inequalities involving higher order mean curvatures, we establish rigidity and nonexistence results concerning these immersions. Applications to the cases that the ambient space is either an Einstein manifold, a steady state type spacetime or a pseudo-hyperbolic space are given, and a particular investigation of entire graphs constructed over the fiber of the ambient space is also made. Our approach is based on a parabolicity criterion related to a linearized differential operator which is a divergence-type operator and can be regarded as a natural extension of the standard Laplacian.

The Expressive Characteristics of Itami Jun's Interior Space Seen from the Viewpoint of 'Theory of Meeting' ('만남이론' 관점으로 본 이타미 준의 실내공간 표현특성)

  • Kim, Suk;Kim, Seok-Young;Kim, Moon-Duck
    • Korean Institute of Interior Design Journal
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    • v.26 no.3
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    • pp.34-44
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    • 2017
  • Korean-Japanese architect Itami Jun that proceeded with primeval architecture based on analogue ideas in the digital era realizing nomad architecture is delivering a totally different meaning in the modern time. Not like the Japanese architectural community equipped with rich technologies showed state-of-the-art architecture after 1980s, Itami Jun' formative consciousness intending to assimilate nature from the original position of things is thought to have started from the relationship with Korean-Japanese painters leading MONO-HA desiring to look at the world as it is and approach the source of existence. The purpose of this study is to analyze the spatial characteristics from the viewpoint of 'Theory of Meeting' which is the essence of the work theory of Lee UFan that made the theoretical foundation of MONO-HA to understand Itami Jun's architectural space in the ideological aspect. Although the characteristics of marginal men appearing in Itami Jun's architectural space as others located on the boundary between Korea and Japan, art and architecture, and functions are valuable research objects, they have not been studied in the aspect of source, so it is needed to research his works and the source of the spatial ideas that led his works. Based on Theory of Meeting claiming that the world becomes the place of experience by the medium of objet which is the structure of meeting, and that human beings can meet the truly opened world by self-awareness through body, the expressive characteristics of Itami Jun's interior space was analyzed. As a result of the analysis, it turned out that Itami Jun's interior space actively expressed Theory of Meeting on the unity of structure and space, and on the trans-boundary by the medium of objet. Conclusively, this study suggests that, in the reality of the modern interior design full of technology-intensive designs, analogue approach moving in the opposite way from technologies could be a better expressive method of design delivering the fundamental human emotions.

Steady-state response and free vibration of an embedded imperfect smart functionally graded hollow cylinder filled with compressible fluid

  • Bian, Z.G.;Chen, W.Q.;Zhao, J.
    • Structural Engineering and Mechanics
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    • v.34 no.4
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    • pp.449-474
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    • 2010
  • A smart hollow cylinder consisting of a host functionally graded elastic core layer and two surface homogeneous piezoelectric layers is presented in this paper. The bonding between the layers can be perfect or imperfect, depending on the parameters taken in the general linear spring-layer interface model. The effect of such weak interfaces on free vibration and steady-state response is then investigated. Piezoelectric layers at inner and outer surfaces are polarized axially or radially and act as a sensor and an actuator respectively. For a simply supported condition, the state equations with non-constant coefficients are obtained directly from the formulations of elasticity/piezoelasticity. An approximate laminated model is then introduced for the sake of solving the state equations conveniently. It is further assumed that the hollow cylinder is embedded in an elastic medium and is simultaneously filled with compressible fluid. The interaction between the structure and its surrounding media is taken into account. Numerical examples are finally given with discussions on the effect of some related parameters.

Degrees of Freedom of Multi-Cell MIMO Interference Broadcast Channels With Distributed Base Stations

  • Huang, Hongbing;Liu, Junyi;Zhang, Yi;Cai, Qing;Zhang, Bowei;Jiang, Fengwen
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.2
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    • pp.635-656
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    • 2019
  • In this paper, we investigate the degrees of freedom (DoF) of a multi-cell multi-user multiple-input multiple-output (MIMO) interference broadcast channel (IBC) with non-cooperation distributed base stations (BS), where each BS serves users of its corresponding cell. When all BSs simultaneously transmit their own signals over the same frequency band in the MIMO IBC, the edge users in each cell will suffer the inter-cell interference (ICI) and inter-user interference (IUI) signals. In order to eliminate the ICI and IUI signals, a distributed space time interference alignment (DSTIA) approach is proposed where each BS has only limited access to distributed moderately-delay channel state information at the transmitter (CSIT). It is shown that the DSTIA scheme can obtain the appreciate DoF gains. In addition, the DoF upper bound is asymptotically achievable as the number of antenna at each BS increases. It is shown that the DSTIA method can get DoF gains over other interference alignment schemes with delayed CSIT in literature. Moreover, the DSTIA method can attain higher DoFs than the IA schemes with global CSIT for certain antenna configurations.

HYDROMAGNETIC FLUCTUATING FLOW OF A COUPLE STRESS FLUID THROUGH A POROUS MEDIUM

  • Zakaria, M.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.175-191
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    • 2002
  • The equations of a polar fluid of hydromagnetic fluctuating through a porous medium axe cast into matrix form using the state space and Laplace transform techniques the resulting formulation is applied to a variety of problems. The solution to a problem of an electrically conducting polar fluid in the presence of a transverse magnetic field and to a problem for the flow between two parallel fixed plates is obtained. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results for the velocity, angular velocity distribution and the induced magnetic field are given and illustrated graphically for each problems.

$H^{\infty}$-Optimal Design Using Hankel-Approximation (Hankel-근사화를 이용한 $H^{\infty}$--최적설계)

  • 이경준;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.34-39
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    • 1991
  • In this paper, we provide a treatment of the $H^{\infty}$-mixed sensitivity optimization approach to feedback system design. With compromising between the effect of a disturbance at the plant output and the effect of plant perturbations, we propose an algorithm to design robust controller. A $H^{\infty}$-optimization problem is to be equivalent to a Hankel-approximation, this enables the problem to be solved using state-space methods based on balanced realizations.s.

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