• Title/Summary/Keyword: State-Space Method

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Exact solutions of axisymmetric free vibration of transversely isotropic magnetoelectroelastic laminated circular plates

  • Chen, Jiangying;Xu, Rongqiao;Huang, Xusheng;Ding, Haojiang
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.115-127
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    • 2006
  • The axisymmetric free vibrations of transversely isotropic magnetoelectroelastic laminated circular plates are studied. Based on the three-dimensional governing equations of magnetoelectroelastic medium, the state space equations of laminated circular plates are obtained. By using the finite Hankel transform and rendering the free terms left by the transform in terms of the boundary quantities, the solutions of the state space equations are given for two kinds of boundary conditions. The frequency equations of the free vibration are derived using the propagator matrix method and the boundary conditions at top and bottom surfaces. By virtue of the inverse Hankel transform, the mode shapes are also determined. Since the solutions strictly satisfy the governing equations in the region and the boundary conditions at the edges, they are the three-dimensionally exact. Finally, the natural frequencies of such plates are tabulated and compared with those of the piezoelectric and elastic plates in the numerical example.

Design of High-Speed 2-D State-Space Digital Filters Based on a Improved Branch-and-Bound Algorithm (개량된 분기한정법에 의한 고속연산 2차원 상태공간 디지털필터의 설계)

  • Lee Young-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.7
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    • pp.1188-1195
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    • 2006
  • This paper presents an efficient design method of 2-D state-space digital filter based on an improved branch-and -bound algorithm. The resultant 2-D state-space digital filters whose coefficients are represented as the sum of two power-of-two terms, are attractive for high-speed operation and simple implementation. The feasibility of the proposed method is demonstrated by several experiments. The results show that the approximation error and group delay characteristic of the resultant filters are similar to those of the digital filters which designed in the continuous coefficient space.

A Robust Behavior Planning technique for Mobile Robots (이동 로봇의 강인 행동 계획 방법)

  • Lee, Sang-Hyoung;Lee, Sang-Hoon;Suh, Il-Hong
    • The Journal of Korea Robotics Society
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    • v.1 no.2
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    • pp.107-116
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    • 2006
  • We propose a planning algorithm to automatically generate a robust behavior plan (RBP) with which mobile robots can achieve their task goal from any initial states under dynamically changing environments. For this, task description space (TDS) is formulated, where a redundant task configuration space and simulation model of physical space are employed. Successful task episodes are collected, where $A^*$ algorithm is employed. Interesting TDS state vectors are extracted, where occurrence frequency is used. Clusters of TDS state vectors are found by using state transition tuples and features of state transition tuples. From these operations, characteristics of successfully performed tasks by a simulator are abstracted and generalized. Then, a robust behavior plan is constructed as an ordered tree structure, where nodes of the tree are represented by attentive TDS state vector of each cluster. The validity of our method is tested by real robot's experimentation for a box-pushing-into-a-goal task.

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Proposing a dynamic stiffness method for the free vibration of bi-directional functionally-graded Timoshenko nanobeams

  • Mohammad Gholami;Mojtaba Gorji Azandariani;Ahmed Najat Ahmed;Hamid Abdolmaleki
    • Advances in nano research
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    • v.14 no.2
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    • pp.127-139
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    • 2023
  • This paper studies the free vibration behavior of bi-dimensional functionally graded (BFG) nanobeams subjected to arbitrary boundary conditions. According to Eringen's nonlocal theory and Hamilton's principle, the underlying equations of motion have been obtained for BFG nanobeams. Moreover, the variable substitution method is utilized to establish the structure's state-space differential equations, followed by forming the dynamic stiffness matrix based on state-space differential equations. In order to compute the natural frequencies, the current study utilizes the Wittrick-Williams algorithm as a solution technique. Moreover, the nonlinear vibration frequencies calculated by employing the proposed method are compared to the frequencies obtained in previous studies to evaluate the proposed method's performance. Some illustrative numerical examples are also given in order to study the impacts of the nonlocal parameters, material property gradient indices, nanobeam length, and boundary conditions on the BFG nanobeam's frequency. It is found that reducing the nonlocal parameter will usually result in increased vibration frequencies.

Modeling of flexible stick balencer and controller design (Flexible stick balencer에 대한 modeling과 제어에 관한 연구)

  • Seo, Ki-Won;Cho, Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.233-236
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    • 1996
  • This paper describes a liner state-space model for a flexible stick balencer. The method employed to generate the model utilizes a separable formulation of assumed modes to represents the transverse displacement due to bending Lagrangian dynamics are applied to determine the kinetic and potential energies for the system. The resultant dynamic equations are then organized into a state space model and linearized using Taylor series expansion method. A minimum order observer is designed to estimate unmeasurable states.

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Time series Analysis of State-space Model and Multiplication ARIMA Model in Dissolved Oxygen Simulation (용존산소 농도모의시 상태공간모형과 승법 ARIMA모형의 시계열 분석)

  • 이원호;서인석;한양수
    • Journal of environmental and Sanitary engineering
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    • v.15 no.2
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    • pp.65-74
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    • 2000
  • The purpose of this study is to develop the stochastic stream water quality model for the intake station of Chung-Ju city waterworks in the Han river system. This model was based on the theory of Box-Jenkins Multiplicative ARIMA(SARIMA) and the state space model to simulate changes of water qualities. Variable of water qualities included in the model are temperature and dissolved oxygen(DO). The models development were based on the data obtained from Jan. 1990 to Dec. 1997 and followed the typical procedures of the Box-Jenkins method including identification and estimation. The seasonality of DO and temperature data to formulate for the SARIMA model are conspicuous and the period of revolution was twelve months. Both models had seasonality of twelve months and were formulates as SARIMA {TEX}$(2,1,1)(1,1,1)_{12}${/TEX} for DO and temperature. The models were validated by testing normality and independency of the residuals. The prediction ability of SARIMA model and state space model were tested using the data collected from Jan. 1998 to Oct. 1999. There were good agreements between the model predictions and the field measurements. The performance of the SARIMA model and state space model were examined through comparisons between the historical and generated monthly dissolved oxygen series. The result reveal that the state space model lead to the improved accuracy.

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Test-case Generation for Simulink/Stateflow Model using a Separated RRT Space (분할된 RRT 공간을 이용한 Simulink/Stateflow모델 테스트케이스 생성)

  • Park, Hyeon Sang;Choi, Kyung Hee;Chung, Ki Hyun
    • KIPS Transactions on Software and Data Engineering
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    • v.2 no.7
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    • pp.471-478
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    • 2013
  • This paper proposes a black-box based test case generation method for Simulink/Stateflow model utilizing the RRT algorithm which is a method to efficiently solve the path planning for complicated systems. The proposed method in the paper tries to solve the reachability problem with the RRT algorithm, which has to be solved for black-box based test case generations. A major problem of the RRT based test case generation algorithms is that the cost such as running time and required memory size is too much for complicated Stateflow model. The typical RRT algorithm expands rapidly-exploring random tree (RRT) in a single state space. But the proposed method expands it in dynamic state space based on the state of Simulink model, consequently reducing the cost. In the paper, a new definition of RRT state space, a distance measure and a test case generation algorithm are proposed. The performance of proposed method is verified through the experiment against Stateflow model.

An initialization issue of asynchronous circuits using binary decision (이진결정 그래프를 이용한 비동기 회로의 초기화)

  • 김수현;이정근;최호용;이동익
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.887-890
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    • 1998
  • We present a method for initialization of asynchronous circuits using binary decision space representation. From state transition graph(STG) which is given as a specification a circuit, the BDD is generated to solve the state space explosion problem which is caused by concurrecy of STG. We first step, we construct the necessary informaton as a form of K-map from BDD, then find an initial state on the K-map by assignment of don't care assignment.

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Space Charge Behavior of Oil-paper Insulation Thermally Aged under Different Temperatures and Moistures

  • Zhou, Yuan-Xiang;Huang, Meng;Chen, Wei-Jiang;Jin, Fu-Bao
    • Journal of Electrical Engineering and Technology
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    • v.10 no.3
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    • pp.1124-1130
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    • 2015
  • Moisture and high temperature are the most important factors that lead to the ageing of oil-paper insulation, but the research about space charge characteristics of oil-paper insulation does not take the combined effect of ambient temperature, moisture and thermal ageing into account. The pulsed electroacoustic (PEA) method was used to investigate the influence of moisture and temperature on space charge characteristics of oil paper at different ageing stages. The results showed that moisture could speed up formation of space charge in oil paper when water concentration was low, but the formation was restrained if the water concentration was high. At the beginning of thermal ageing, heterogeneous charge accumulation had predominance, but it gradually changed to homogeneous charge injection with ageing. It was believed that moisture concentration could speed up ageing and enhance charge accumulation on one hand, and accelerate or slow down the establishment speed of space charge on the other hand, therefore, charge accumulation type changed with ageing. The more seriously the oil-paper insulation was thermally aged, the deeper the trap energy level was, hence more space charge was trapped, which could be speeded up by increasing the ageing temperature, but the effect of ambient temperature did not fit the Arrhenius law.

State Space Averaging Based Analysis of the Lithium Battery Charge/Discharge System (상태공간평균에 의한 리튬전지 충방전 시스템의 해석)

  • Won, Hwa-Young;Chae, Soo-Yong;Hong, Soon-Chan
    • The Transactions of the Korean Institute of Power Electronics
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    • v.14 no.5
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    • pp.387-396
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    • 2009
  • The life and performance of lithium battery are greatly influenced by the formation process which is essential in the process of manufacture. Charge/discharge system for the lithium battery are required for the formation process. To simulate such a system in a conventional method takes very long time and requires huge memory space to save data files. So the simulation may be impossible with a general-purpose PC. In this paper, the lithium battery is modelled to a resistor-capacitor serial circuit and the lithium battery charge/discharge system is analyzed and simulated by using state space averaging method. As a result, the simulation time is reduced dramatically and the simulation of the lithium battery charge/discharge system becomes possible on a general-purpose PC within 3 hours. Also, both the charge/discharge characteristics and the time required to charge/discharge of the lithium battery charge/discharge system can be observed. To verify the propriety of resistor-capacitor serial circuit modeling method for lithium battery and the validity of the analysis and simulation based on state space averaging, the lithium battery charge/discharge system is composed and experimentations are carried out.