• 제목/요약/키워드: linear differential systems

검색결과 258건 처리시간 0.028초

적응계에서 지속여기에 관한 연구 (A study on the persistent excitation in adaptive system)

  • 금상호;이기서
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.483-488
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    • 1989
  • In this paper, the concept of persistent excitation(PE) is examed and the model reference adaptive control of a linear plant subjected to bounded disturbances is considered. Computer simulation reasults of nonlinear differential equations shows that the global behavior of the adaptive system depends upon the PE of the reference input as well as the amplitude of the external disturbances. The sufficient conditions on the PE of the reference input for the signals in the adaptive system to be globally bounded has been derived.

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APPROXIMATE REACHABLE SETS FOR RETARDED SEMILINEAR CONTROL SYSTEMS

  • KIM, DAEWOOK;JEONG, JIN-MUN
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.469-481
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    • 2020
  • In this paper, we consider a control system for semilinear differential equations in Hilbert spaces with Lipschitz continuous nonlinear term. Our method is to find the equivalence of approximate controllability for the given semilinear system and the linear system excluded the nonlinear term, which is based on results on regularity for the mild solution and estimates of the fundamental solution.

Solvent-induced Expansion & Shrinkage of Demineralized Dentin Matrix

  • Lee, Kwang-Won
    • 대한치과보존학회:학술대회논문집
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    • 대한치과보존학회 2001년도 추계학술대회(제116회) 및 13회 Workshop 제3회 한ㆍ일 치과보존학회 공동학술대회 초록집
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    • pp.580-580
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    • 2001
  • Before resin composites can serve as durable substitutes for amalgam restorations, the adhesive system used to retain them and add to seal dentin must be improved. The recent observations, using the newly developed LVDT (linear variable differential transformer) probe, that all commercial bonding systems cause a collapse of the demineralized dentin matrix, simulated a re-evaluation of the effects of these formulations on the matrix. The experiment was begun by examining solvents such as water-HEMA mixtures. These produced the same shrinkages as did the complete formulations.(omitted)

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완전-차동 선형 OTA를 사용한 새로운 계측 증폭기 설계 (A Design of Novel Instrumentation Amplifier Using a Fully-Differential Linear OTA)

  • 차형우
    • 전자공학회논문지
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    • 제53권1호
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    • pp.59-67
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    • 2016
  • 저가, 광대역, 그리고 넓은 이득 제어 범위를 갖는 전자 계측 시스템을 실현하기 위한 완전-차동 선형(fully-differential linear operational transconductance amplifier : FLOTA)를 사용한 새로운 계측 증폭기(instrumentation amplifier : IA)를 설계하였다. 이 IA는 한 개의 FLOTA, 두 개의 저항 그리고 한 개의 연산 증폭기(operational amplifier : op-amp로 구성된다. 동작 원리는 FLOTA에 인가되는 두 입력 전압의 차가 각각 동일한 차동 전류로 변환되고 이 전류는 op-amp의 (+)단자의 저항기와 귀환 저항기를 통과시켜 단일 출력 전압을 구하는 것이다. 제안한 IA의 동작 원리를 확인하기 위해 FLOTA를 설계하였고 상용 op-amp LF356을 사용하여 IA를 구현하였다. 시뮬레이션 결과 FLOTA를 사용한 전압-전류 특성은 ${\pm}3V$의 입력 선형 범위에서 0.1%의 선형오차와 2.1uA의 오프셋 전류를 갖고 있었다. IA는 1개의 저항기의 저항 값 변화로 -20dB~+60dB의 이득을 갖고 있으며, 60dB에 대한 -3dB 주파수는 10MHz이였다. 제안한 IA의 외부의 저항기의 정합이 필요 없고 다른 저항기로 오프셋을 조절할 수 있는 장점을 갖고 있다. 소비전력은 ${\pm}5V$ 공급전압에서 105mW이였다.

FUZZY CONTROL OF THREE LINKS A ROBOTIC MANIPULATOR

  • Kumbla, Kishan;Jamshidi, Mo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.1410-1413
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    • 1993
  • This paper presents the application of fuzzy control to three links of a Rhino robot and compares its performance to traditional PD control. The dynamics of motion of robot links are governed by nonlinear differential equations. The fuzzy controller, being an adaptive technique, gives better performance than the traditional linear PD controller over a typical operational range. The fuzzy controller reaches the desired position with no overshoot, which is unlikely with the PD controller.

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Design of nonlinear optimal regulators using lower dimensional riemannian geometric models

  • Izawa, Yoshiaki;Hakomori, Kyojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.628-633
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    • 1994
  • A new Riemannian geometric model for the controlled plant is proposed by imbedding the control vector space in the state space, so as to reduce the dimension of the model. This geometric model is derived by replacing the orthogonal straight coordinate axes on the state space of a linear system with the curvilinear coordinate axes. Therefore the integral manifold of the geometric model becomes homeomorphic to that of fictitious linear system. For the lower dimensional Riemannian geometric model, a nonlinear optimal regulator with a quadratic form performance index which contains the Riemannian metric tensor is designed. Since the integral manifold of the nonlinear regulator is determined to be homeomorphic to that of the linear regulator, it is expected that the basic properties of the linear regulator such as feedback structure, stability and robustness are to be reflected in those of the nonlinear regulator. To apply the above regulator theory to a real nonlinear plant, it is discussed how to distort the curvilinear coordinate axes on which a nonlinear plant behaves as a linear system. Consequently, a partial differential equation with respect to the homeomorphism is derived. Finally, the computational algorithm for the nonlinear optimal regulator is discussed and a numerical example is shown.

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Dynamic Analysis of a Moving Vehicle on Flexible Beam structures ( I ) : General Approach

  • Park, Tae-Won;Park, Chan-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권4호
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    • pp.54-63
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    • 2002
  • In recent years, mechanical systems such as high speed vehicles and railway trains moving on elastic beam structures have become a very important issue to consider. In this paper, a general approach, which can predict the dynamic behavior of a constrained mechanical system moving on a flexible beam structure, is proposed. Various supporting conditions for the foundation support are considered for the elastic beam structure. The elastic structure is assumed to be a non-uniform and linear Bernoulli-Euler beam with a proportional damping effect. Combined differential-algebraic equation of motion is derived using the multi-body dynamics theory and the finite element method. The proposed equations of motion can be solved numerically using the generalized coordinate partitioning method and predictor-corrector algorithm, which is an implicit multi-step integration method.

수중운동체의 심도제어를 위한 제어기 설계 (Controller design for depth control of vehicle under seawater)

  • 이만형;박경철;곽한우
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.516-521
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    • 1993
  • In order to hold a underwater vehicle at a depth, we can modulate buoyancy that acts on the underwater vehicle. In this research, by using a ballon, we was able to generate buoyancy that could control depth in which vehicle was operate. And in order to control flux of air that was flowed in balloon, we used solenoid valve, relief valve and so on. We derived differential equations of volume of balloon, pressure of inside of balloon, dynamic of underwater vehicle, and air flux for the simulation and linearized these differential equation. So we designed LQG/LTR controller, and applied the controller to nonlinear system. Through the simulation, we compares the nonlinear system with the linear system and investigated the operation of solenoid valve.

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Static analysis of shear-deformable shells of revolution via G.D.Q. method

  • Artioli, Edoardo;Viola, Erasmo
    • Structural Engineering and Mechanics
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    • 제19권4호
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    • pp.459-475
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    • 2005
  • This paper deals with a novel application of the Generalized Differential Quadrature (G.D.Q.) method to the linear elastic static analysis of isotropic rotational shells. The governing equations of equilibrium, in terms of stress resultants and couples, are those from Reissner-Mindlin shear deformation shell theory. These equations, written in terms of internal-resultants circular harmonic amplitudes, are first put into generalized displacements form, by use of the strain-displacements relationships and the constitutive equations. The resulting systems are solved by means of the G.D.Q. technique with favourable precision, leading to accurate stress patterns.

Intelligent computer modelling and simulation for the large amplitude of nano systems

  • Yi, Wenjuan
    • Advances in nano research
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    • 제13권1호
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    • pp.63-75
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    • 2022
  • The nonlinear dynamic behavior of a nonuniform small-scale nonlocal beam is investigated in this work. The nanobeam is theoretically modeled using the nonlocal Eringen theory, as well as a few of Von-nonlinear Kármán's theories and the classical beam theory. The Hamilton principle extracts partial differential equations (PDE) of an axially functionally graded (AFG) nano-scale beam consisting of SUS304 and Si3N4 throughout its length, and an elastic Winkler-Pasternak substrate supports the tapered AFG nanobeam. The beam thickness is a function of beam length, and it constantly varies throughout the length of the beam. The numerical solution strategy employs an iteration methodology connected with the generalized differential quadratic method (GDQM) to calculate the nonlinear outcomes. The nonlinear numerical results are presented in detail to examine the impact of various parameters such as nonlinear amplitude, nonlocal parameter, the component of the elastic foundation, rate of cross-section change, and volume fraction parameter on the linear and nonlinear free vibration characteristics of AFG nanobeam.