• 제어로봇시스템학회논문지
• /
• 제12권5호
• /
• pp.411-418
• /
• 2006

There are mainly two types of bang-bang controllers for nominal linear time-invariant (LTI) system. Optimal bang-bang controller is designed based on optimal control theory and suboptimal bang-bang controller is obtained by using Lyapunov stability condition. In this paper, the suboptimal bang-bang control method is extended to LTI system involving both control input saturation and structured real parameter uncertainties by using Lyapunov robust stability condition. Two robust optimal bang-bang controllers are derived by minimizing the time derivative of Lyapunov function subjected to the limit of control input. The one is developed based on the classical quadratic stability(QS), and the other is developed based on the affine quadratic stability(AQS). And characteristics of the two controllers are compared. Especially, bounds of parameter uncertainties which theoretically guarantee robust stability of the two controllers are compared quantitatively for 1DOF vibrating system. Moreover, the validity of robust optimal bang-bang controller based on the AQS is shown through numerical simulations for this system.

• Geomechanics and Engineering
• /
• 제37권5호
• /
• pp.453-465
• /
• 2024

This paper presents a logarithmic shear deformation theory to study the thermal buckling response of power-law FG one-dimensional structures in thermal conditions with different boundary conditions. It is assumed that the functionally graded material and thermal properties are supposed to vary smoothly according to a contentious function across the vertical direction of the beams. A P-FG type function is employed to describe the volume fraction of material and thermal properties of the graded (1D) beam. The Ritz model is employed to solve the thermal buckling problems in immovable boundary conditions. The outcomes of the stability analysis of FG beams with temperature-dependent and independent properties are presented. The effects of the thermal loading are considered with three forms of rising: nonlinear, linear and uniform. Numerical results are obtained employing the present logarithmic theory and are verified by comparisons with the other models to check the accuracy of the developed theory. A parametric study was conducted to investigate the effects of various parameters on the critical thermal stability of P-FG beams. These parameters included support type, temperature fields, material distributions, side-to-thickness ratios, and temperature dependency.

• 한국산학기술학회논문지
• /
• 제19권7호
• /
• pp.16-23
• /
• 2018

카오스는 비선형 과학 분야에서 매우 중요한 주제 중의 하나이며, Lorenz가 처음으로 소개한 이후 집중적으로 연구되어지고 있다. 카오스 시스템의 한 특성은 카오스 시스템에 의해 생성된 신호는 다른 어떤 시스템과 동기화되지 않는다는 것이다. 따라서 두 카오스 시스템은 서로 동기화되는 것이 불가능한 것처럼 보이지만, 만약 두 시스템이 적절한 방법으로 정보를 교환한다면 이 두 시스템은 동기화가 가능하다. 본 논문에서는 능동 제어와 슬라이딩 모드 제어, 그리고 리아프노프 안정도 이론을 기반으로 하는 변형된 Lorenz 카오스 시스템의 동기화 문제에 대해 다룬다. 동기화를 위해 고려한 기법은 선형상태 오차 변수에 의해 짝을 이룬 구동시스템과 응답시스템으로 구성된다. 이를 위해 우선 대상 카오스 시스템에 대해 간단히 살펴본다. 다음으로 능동제어, 슬라이딩 모드 제어 기법을 이용한 카오스 시스템의 동기화와 채터링 문제를 해결하기 위한 제어 방법을 도출한다. 전체 폐루프 시스템의 점근적 안정도는 리아프노프 안정도 이론에 의해 증명한다. 컴퓨터 시뮬레이션은 제안한 방법의 타당성을 확인하기 위해 그래픽으로 제시한다.

• 대한전자공학회논문지
• /
• 제11권3호
• /
• pp.1-14
• /
• 1974

귀환 펄스 선형증폭기에 단계전압과 방사능검출기에서 나오는 펄스 전압이 인가되었때 경우의 이득안정도에 관하여 해석검토 하였다. 방사능 검출기의 일부를 이루고 있는 광전증배관의 양극회로에서 형성되는 파형을 나타내는 식을 유도 하였으며 귀환 증폭기가 하나의 시정수와 두 개의 시정수를 가졌을 경우에 관하여 해석하였고 이 들을 비교 검토하였다. 이들 빠른 입력펄스전압이 귀환증폭기에 인가되면 출력전압의 선형도와 안정도는 증폭기의 rise time와, 2∼3배가 경과하여야 귀환효과가 나타난다. 이 제한을 줄이기 위하여는 귀환증폭기의 rise time을 계측할려는 입력 펄스의 폭보다 적도록 설계하여야 한다는 것을 증명하였다. 이상의 이론은 선형증폭기의 기본증폭단으로 설계된 고렬전압 귀환증폭단에도 그대로 적용굴을 보였으며 이 증폭단의 입력저항이 적을수록 이득안정도가 좋아짐을 보였다.

• Structural Engineering and Mechanics
• /
• 제75권6호
• /
• pp.659-674
• /
• 2020

The present paper employs nonlocal strain gradient theory (NSGT) to study buckling behavior of functionally graded magneto-electro-thermo-elastic (FG-METE) nanoshells under various physical fields. NSGT modeling of the nanoshell contains two size parameters, one related to nonlocal stress field and another related to strain gradients. It is considered that mechanical, thermal, electrical and magnetic loads are exerted to the nanoshell. Temperature field has uniform and linear variation in nanoshell thickness. According to a power-law function, piezo-magnetic, thermal and mechanical properties of the nanoshell are considered to be graded in thickness direction. Five coupled governing equations have been obtained by using Hamilton's principle and then solved implementing Galerkin's method. Influences of temperature field, electric voltage, magnetic potential, nonlocality, strain gradient parameter and FG material exponent on buckling loads of the FG-METE nanoshell have been studied in detail.

• Journal of Power Electronics
• /
• 제12권1호
• /
• pp.164-171
• /
• 2012

Variable step size maximum power point trackers (MPPTs) are widely used in photovoltaic (PV) systems to extract the peak array power which depends on solar irradiation and array temperature. One essential factor which judges system dynamics and steady state performances is the scaling factor (N), which is used to update the controlling equation in the tracking algorithm to determine a new duty cycle. This paper proposes a novel stability study of variable step size incremental resistance maximum power point tracking (INR MPPT). The main contribution of this analysis appears when developing the overall small signal model of the PV system. Therefore, by using linear control theory, the boundary value of the scaling factor can be determined. The theoretical analysis and the design principle of the proposed stability analysis have been validated using MATLAB simulations, and experimentally using a fixed point digital signal processor (TMS320F2808).

• 대한기계학회논문집
• /
• 제8권1호
• /
• pp.10-17
• /
• 1984

The critical conditions marking the onset of thermally induced vortices over an inclined iso-thermal plate are investigated using the linear stability theory. The stability equations are simplified by estimating the orders of magnitude of respective terms. The analysis is carried out under the assumption that for the system of large Prandtl numbers temperature disturbances are initiated within the conventional thermal boundary layer of the basic flow. The stability criteria obtained from the present results agree well with those of the existing quasi-parallel flow models. In addition it is found that the critical conditions generate the heat transfer correlation in good agreement with experiments. Therefore, it is suggested that the validity of existing theoretical models will be reexamined.

• 동력기계공학회지
• /
• 제15권1호
• /
• pp.78-85
• /
• 2011

In order to design the control system of the magnetic bearing for the high speed 3 phase induction motor, the mathematical modeling was conducted and LQ regulator system was designed. When the plant is controllable and detectable, the nominal stability of LQ regulator could be guaranteed. However, LQ regulator doesn't ensure the robustness of stability and performance for the real system because LQ control is the mathematical optimal theory. In this paper to ensure the robustness of stability and performance for the real system, the control systems are designed by the simulation to the variation system parameters and this method was confirmed as an effective means.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 1999년도 하계학술대회 논문집 C
• /
• pp.1042-1045
• /
• 1999

This paper presents a new method for contingency selection of the transient stability. Contingency ranking in transient stability is done by estimating the change in the imaginary part of electro-mechanical oscillation mode, which represents modal synchronizing coefficient. And the change in the imaginary part is obtained by applying eigen-sensitivity theory of augmented matrix to linear system model. The Proposed algorithm was tested for New England System and compared the results with PSS/E dynamic simulation.

• Steel and Composite Structures
• /
• 제7권2호
• /
• pp.119-133
• /
• 2007

Based on stability theory of current rigid steel frames and using the three-column subassemblage model, the governing equations for determining the effective length factor (${\mu}$-factor) of the columns in semirigid composite frames are derived. The effects of the nonlinear moment-rotation characteristics of beam-to-column connections and composite action of slab are considered. Furthermore, using a two-bay three-storey composite frame with semi-rigid connections as an example, the effects of the non-linear moment-rotation characteristics of connections and load value on the ${\mu}$-factor are numerically studied and the ${\mu}$-factors obtained by the proposed method and Baraket-Chen's method are compared with those obtained by the exact finite element method. It was found that the proposed method has good accuracy and can be used in stability analysis of semi-rigid composite frames.