• 제목/요약/키워드: high-order linear systems

검색결과 200건 처리시간 0.031초

LMI 기법을 이용한 방향성 통신 토폴로지를 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems with Directed Communication Topology Using LMI Approach)

  • 김수범;최현철;이성훈;김강석;주성열;홍우영
    • 한국군사과학기술학회지
    • /
    • 제14권5호
    • /
    • pp.941-947
    • /
    • 2011
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with directed communication topology. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with directed graph. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. Examples are presented to show the effectiveness of the proposed method.

파라미터 불확실성을 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems With Parameter Uncertainties)

  • 김수범;최현철;김형준;심형보;서진헌
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
    • /
    • pp.67-69
    • /
    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with parameter uncertainties. All the agents are identical high-order linear systems with parameter uncertainties and their state information is exchanged through a communication network. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. A numerical example is presented to show the effectiveness of the proposed method.

  • PDF

통신지연을 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems With Communication Delay)

  • 최현철;김수범;김성준;심형보;서진헌
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
    • /
    • pp.88-90
    • /
    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with communication delay. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with constant communication delay. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems with delay. A numerical example is presented to show the effectiveness of the proposed method.

  • PDF

Parametric Approaches for Eigenstructure Assignment in High-order Linear Systems

  • Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
    • /
    • 제3권3호
    • /
    • pp.419-429
    • /
    • 2005
  • This paper considers eigenstructure assignment in high-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called high-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically very simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches.

최소자승법을 이용한 선형시불변시스템의 간소화 (Simplification of Linear Time-Invariant Systems by Least Squares Method)

  • 추연석;문환영
    • 제어로봇시스템학회논문지
    • /
    • 제6권5호
    • /
    • pp.339-344
    • /
    • 2000
  • This paper is concerned with the simplification of complex linear time-invariant systems. A simple technique is suggested using the well-known least squares method in the frequency domain. Given a high-order transfer function in the s- or z-domain, the squared-gain function corresponding to a low-order model is computed by the least squares method. Then, the low-order transfer function is obtained through the factorization. Three examples are given to illustrate the efficiency of the proposed method.

  • PDF

HIGH-DEGREE INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL

  • Kim, Kyung-Joong
    • 대한수학회논문집
    • /
    • 제22권3호
    • /
    • pp.475-485
    • /
    • 2007
  • We construct high-degree interpolation rules using not only pointwise values of a function but also of its derivatives up to the p-th order at equally spaced nodes on a closed and bounded interval of interest by introducing a linear functional from which we produce systems of linear equations. The linear systems will lead to a conclusion that the rules are uniquely determined for the nodes. An example is provided to compare the rules with the classical interpolating polynomials.

Design of Position Estimator for Propulsion Inverter Driving Long Stator LSM in High Speed Maglev

  • Jo, Jeong-Min;Lee, Jin-Ho;Han, Young-Jae;Lee, Chang-Young
    • Journal of international Conference on Electrical Machines and Systems
    • /
    • 제3권3호
    • /
    • pp.252-255
    • /
    • 2014
  • In the case of long-stator linear drives, unlike rotative drives for which speed or position sensors are a single unit attached to the shaft, these sensors extend along the guideway. The position signal transmitted from maglev vehicle can't meet the need of the real-time propulsion control. In this paper the position estimator for propulsion inverter driving long stator linear synchronous motor (LSLSM) in high speed maglev train is proposed. In order to get the higher resolution of the position information transmitted from vehicle, Full order state observer is proposed for position estimator.

모달 방법을 사용한 선형시스템의 오더. 리덕손 (ORDER REDUCTION OF LINEAR SYSTEMS BY MODAL METHOD)

  • 이건용
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1984년도 하계학술회의논문집
    • /
    • pp.84-85
    • /
    • 1984
  • The accurate description of many physical processes leads to high number of different equations which are very difficult to handle for simulation or control purposes. The reduction of high-order, linear, time-invariant systems to lower-order ones has been investigated by many researchers. In this paper, a model technique among these methods is used. This technique has been developed here as if it were extensions of Davison's original method (1), its modification having been made to provide, among other things, steady state agreement between the original large-scale and reduced-order model. The advantage of the modal analysis approach is that only matrix operations have to be executed. Here, it is very simple to obtain a reduced model. An example of illustration is shown using the model method.

  • PDF

Nonlinear vibration of multi-body systems with linear and nonlinear springs

  • Bayat, Mahmoud;Pakar, Iman;Bayat, Mahdi
    • Steel and Composite Structures
    • /
    • 제25권4호
    • /
    • pp.497-503
    • /
    • 2017
  • In this paper, nonlinear vibration of multi-degree of freedom systems are studied. It has been tried to develop the mathematical model of systems by second-order nonlinear partial differential equations. The masses are connected with linear and nonlinear springs in series. A great effort has been done to solve the nonlinear governing equations analytically. A new analytical method called Variational Iteration Method (VIM) is proposed and successfully applied to the problem. The linear and nonlinear frequencies are obtained and the results are compared with numerical solutions. The first order of Variational Iteration Method (VIM) leads us to high accurate solution.

Cascade 제어를 위한 실시간 공정 식별법 (On-line process identification for cascade control system)

  • 박흥일;성수환;이인범
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
    • /
    • pp.1412-1415
    • /
    • 1996
  • In this paper, a new identification method of the cascade control system is proposed which can overcome the weak points of Krishnaswamy and Rangaiah(1987)'s method. This new method consists of two steps. One is on-line process identification using the numerical integration to approximate the two process dynamics with a high order linear transfer function. The other is a model reduction technique to derive out low order transfer function(FOPTD or SOPTD) from the obtained high order linear transfer function to tune the controller using usual tuning rules. While the proposed method preserves the advantages of the Krishnaswamy and Rangaiah(1987)'s method, it has such a simplicity that it requires only measured input and output data and simple least-squares technique. Simulation results show that the proposed method can be a promising alternative in the identification of cascade control systems.

  • PDF