• 제목/요약/키워드: recursive equations

검색결과 100건 처리시간 0.028초

분절적이고 유연성있는 우주 구조물의 동역학적 해석 및 자세제어 (Nonlinear Synamics and Attitude Control of Articulated and Flexible Spacecraft)

  • 백명진
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
    • /
    • pp.937-942
    • /
    • 1993
  • This paper extends the authors' prior work on the regulation of flexible space structures via partial feedback linearization (PFL) methods to articulated systems. Recursive relations introduced by Jain and Rodriguez are central to the efficient formulation of models via Poincare's form of Lagrange's equations. Such models provide for easy construction of feedback linearizing control laws. Adaptation is shown to be an effective way of reducing sensitivity to uncertain parameters. An application to a flexible platform with mobile remote manipulator system is highlighted.

  • PDF

1회선 분기점을 갖는 병행 2회선 송전선로의 고장점 표정 알고리즘 (Fault Location Algorithm for Parallel Transmission Line with a Teed Circuit)

  • 권태원;강상희;최면송;이승재
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
    • /
    • pp.116-118
    • /
    • 1999
  • A fault location algorithm that is suitable for parallel transmission line which contains a teed circuit is presented. The method uses only the local end voltage and current signals. Zero sequence currents of other lines are calculated by distribution factors, and distance equations are solved by recursive calculation.

  • PDF

스펙트럼 추정을 위한 근사 과결정 방식 (Approximate Overdetermined Method for Spectral Estimation)

  • 이철희;정찬수;양흥석
    • 대한전기학회논문지
    • /
    • 제37권4호
    • /
    • pp.232-239
    • /
    • 1988
  • The approximate overdetermined method is proposed for high resolution spectral estimation in case of short data record length or narrow band signal. And a new recursive AR parameter estimation is derived in the form of fast algorithm. For ARMA spectral estimation, two stage procedure is used in estimating ARMA parameters. First AR parameters are estimated by using the modified Yule-Walker equations, and then MA parameters are implicitly estimated by estimating numerator spectral(NS) coefficients.

  • PDF

Optimization Methodology of Multiple Air Hole Effects in Substrate Integrated Waveguide Applications

  • Kim, Jin-Yang;Chun, Dong-Wan;Ryu, Christopher Jayun;Lee, Hai-Young
    • Journal of electromagnetic engineering and science
    • /
    • 제18권3호
    • /
    • pp.160-168
    • /
    • 2018
  • A wide spectrum of potential applications using substrate integrated waveguide (SIW) technologies in conjunction with air hole regions is introduced, and an efficient optimization methodology to cope with the multiple air hole effect in SIW applications is proposed. The methodology adopts a genetic algorithm to obtain optimum air hole dimensions for the specific propagation constant that can be accurately calculated using the recursive and closed form equations presented. The optimization results are evaluated by designing an SIW bandpass filter, and they show excellent performance. The optimization methodology using the proposed equations is effective in performance enhancement for the purposes of low loss and broadband SIW applications.

Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
    • /
    • 제28권2호
    • /
    • pp.221-238
    • /
    • 2008
  • Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

블럭펄스 함수를 이용한 기준 모델 적응 제어기 설계 (The Design of Model Reference Adaptive Controller via Block Pulse Functions)

  • 김진태;김태훈;이명규;안두수
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제51권1호
    • /
    • pp.1-7
    • /
    • 2002
  • This paper proposes a algebraic parameter determination of MRA(Model Reference Adaptive Control) controller using block Pulse functions and block Pulse function's differential operation. Generally, adaption is performed by solving differential equations which describe adaptive low for updating controller parameter. The proposes algorithm transforms differential equations into algebraic equation, which can be solved much more easily inn a recursive manner. We believe that proposes methods are very attractive and proper for parameter estimation of MRAC controller on account of its simplicity and computational convergence.

High precision integration for dynamic structural systems with holonomic constraints

  • Liu, Xiaojian;Begg, D.W.;Devane, M.A.;Zhong, Wanxie
    • Structural Engineering and Mechanics
    • /
    • 제5권3호
    • /
    • pp.283-295
    • /
    • 1997
  • This paper presents a high precision integration method for the dynamic response analysis of structures with holonomic constraints. A detail recursive scheme suitable for algebraic and differential equations (ADEs) which incorporates generalized forces is established. The matrix exponential involved in the scheme is calculated precisely using $2^N$ algorithm. The Taylor expansions of the nonlinear term concerned with state variables of the structure and the generalized constraint forces of the ADEs are derived and consequently, their particular integrals are obtained. The accuracy and effectiveness of the present method is demonstrated by two numerical examples, a plane truss with circular slot at its tip point and a slewing flexible cantilever beam which is currently interesting in optimal control of robot manipulators.

THE BUCHSTAB'S FUNCTION AND THE OPERATIONAL TAU METHOD

  • Aliabadi, M.Hosseini
    • Journal of applied mathematics & informatics
    • /
    • 제7권3호
    • /
    • pp.905-915
    • /
    • 2000
  • In this article we discuss some aspects of operational Tau Method on delay differential equations and then we apply this method on the differential delay equation defined by $\omega(u)\;=\frac{1}{u}\;for\;1\lequ\leq2$ and $(u\omega(u))'\;=\omega(u-1)\;foru\geq2$, which was introduced by Buchstab. As Khajah et al.[1] applied the Recursive Tau Method on this problem, they had to apply that Method under the Mathematica software to get reasonable accuracy. We present very good results obtained just by applying the Operational Tau Method using a Fortran code. The results show that we can obtain as much accuracy as is allowed by the Fortran compiler and the machine-limitations. The easy applications and reported results concerning the Operational Tau are again confirming the numerical capabilities of this Method to handle problems in different applications.

블럭펄스함수를 이용한 시스템 상태추정의 계층별접근에 관한 연구 (A hierarchical approach to state estimation of time-varying linear systems via block pulse function)

  • 안두수;안비오;임윤식;이재춘
    • 대한전기학회논문지
    • /
    • 제45권3호
    • /
    • pp.399-406
    • /
    • 1996
  • This paper presents a method of hierarchical state estimation of the time-varying linear systems via Block-pulse function(BPF). When we estimate the state of the systems where noise is considered, it is very difficult to obtain the solutions because minimum error variance matrix having a form of matrix nonlinear differential equations is included in the filter gain calculation. Therefore, hierarchical approach is adapted to transpose matrix nonlinear differential equations to a sum of low order state space equation from and Block-pulse functions are used for solving each low order state space equation in the form of simple and recursive algebraic equation. We believe that presented methods are very attractive nd proper for state estimation of time-varying linear systems on account of its simplicity and computational convenience. (author). 13 refs., 10 figs.

  • PDF

블럭펄스함수를 이용한 MRAC설계 (The Design of MRAC using Block Pulse Functions)

  • 김진태;김태훈;안비오;이명규;심재선;안두수
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2001년도 하계학술대회 논문집 D
    • /
    • pp.2252-2254
    • /
    • 2001
  • This paper proposes a algebraic parameter determination of MRAC (Model Reference Adaptive Control) controller using block Pulse functions and block Pulse function's differential operation. Generally, adaption is performed by solving differential equations which describe adaptive low for updating controller parameter. The proposes algorithm transforms differential equations into algebraic equation, which can be solved much more easily in a recursive manner. We believe that proposes methods are very attractive and proper for parameter estimation of MRAC controller on account of its simplicity and computational convergence.

  • PDF