• 제목/요약/키워드: polynomial stability

검색결과 116건 처리시간 0.023초

외기권 표적 요격을 위한 제어시간 구속조건을 가지는 일반화된 유도법칙 (Generalized Guidance Law with Control Time Constraint for Exoatmospheric Target Interception)

  • 박봉균;김태훈
    • 한국항공우주학회지
    • /
    • 제46권10호
    • /
    • pp.814-822
    • /
    • 2018
  • 본 논문은 제어시간이 제한된 유도탄에 적용하기 위한 유도법칙을 제안한다. 제안된 유도법칙은 잔여비행시간에 대한 다항식을 기반으로 설계되어 일반화된 형태를 가지게 된다. 또한 제어 종료시점에서 가속도 명령을 0으로 만들어 잔여비행시간(time-to-go) 추정 오차에 대한 민감도를 줄여주고, 단 분리 등의 이벤트 발생 시 비행 안정성을 증가 시켜줄 수 있다. 제안된 유도법칙을 적용하기 위한 잔여비행시간 추정방법을 제안하고, 고고도 방어요격탄의 중기 유도 및 종말 유도에 대한 적용 가능성을 제시한다. 다양한 시뮬레이션 수행을 통하여 제안된 유도법칙의 특성 및 성능을 분석한다.

MR 댐퍼 반능동 현가시스템의 승차감향상을 위한 수정된 민감도제어 (Modified Sensitivity Control of a Semi-Active Suspension System with MR-Damper for Ride Comfort Improvement)

  • 김태식;김내관;박재우;허창도;홍금식
    • 대한기계학회논문집A
    • /
    • 제31권1호
    • /
    • pp.129-138
    • /
    • 2007
  • In this paper, a modified sensitivity control for the semi-active suspension system with a magneto-rheological (MR) damper is investigated. A 2-d.o.f quarter-car model together with a 6th order polynomial model for the MR damper is considered. For the purpose of suppressing the vertical acceleration of the sprung mass, the square of the vertical acceleration is defined as a cost function and a modified sensitivity control that updates the current input in the negative gradient of the cost function is proposed. The implementation of the proposed algorithm requires only the measurement of the relative displacement of the suspension deflection. The local stability of equilibria of the closed loop nonlinear system is proved by investigating the eigenvalues of the linearized ones. Through simulations, the passive suspension, the skyhook control, and the proposed modified sensitivity control are compared.

Robust Controller Design for Parametrically Uncertain System

  • Tipsuwanporn, V.;Piyarat, W.;Witheephanich, K.;Gulpanich, S.;Paraken, Y.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
    • /
    • pp.92-95
    • /
    • 1999
  • The design problem of the control system is the ability to synthesize controller that achieve robust stability and robust performance. The paper explains the Finite Inclusions Theorem (FIT) by the procedure namely FIT synthesis. It is developed for synthesizing robustly stabilizing controller for parametrically uncertain system. The fundamental problem in the study of parametrically uncertain system is to determine whether or not all the polynomials in a given family of characteristic polynomials is Hurwitz i.e., all their roots lie in the open left-half plane. By FIT it can prove a polynomial is Hurwitz from only approximate knowledge of the polynomial's phase at finitely many points along the imaginary axis. An example shows the simplicity of using the FIT synthesis to directly search for robust controller of parametrically uncertain system by way of solving a sequence of systems of linear inequalities. The systems of inequalities are solved via the projection method which is an elegantly simple technique fur solving (finite or infinite) systems of convex inequalities in an arbitrary Hilbert space. Results from example show that the controller synthesized by FIT synthesis is better than by H$\sub$$\infty$/ synthesis with parametrically uncertain system as well as satisfied the objectives for a considerably larger range of uncertainty.

  • PDF

A Backstepping Control of LSM Drive Systems Using Adaptive Modified Recurrent Laguerre OPNNUO

  • Lin, Chih-Hong
    • Journal of Power Electronics
    • /
    • 제16권2호
    • /
    • pp.598-609
    • /
    • 2016
  • The good control performance of permanent magnet linear synchronous motor (LSM) drive systems is difficult to achieve using linear controllers because of uncertainty effects, such as fictitious forces. A backstepping control system using adaptive modified recurrent Laguerre orthogonal polynomial neural network uncertainty observer (OPNNUO) is proposed to increase the robustness of LSM drive systems. First, a field-oriented mechanism is applied to formulate a dynamic equation for an LSM drive system. Second, a backstepping approach is proposed to control the motion of the LSM drive system. With the proposed backstepping control system, the mover position of the LSM drive achieves good transient control performance and robustness. As the LSM drive system is prone to nonlinear and time-varying uncertainties, an adaptive modified recurrent Laguerre OPNNUO is proposed to estimate lumped uncertainties and thereby enhance the robustness of the LSM drive system. The on-line parameter training methodology of the modified recurrent Laguerre OPNN is based on the Lyapunov stability theorem. Furthermore, two optimal learning rates of the modified recurrent Laguerre OPNN are derived to accelerate parameter convergence. Finally, the effectiveness of the proposed control system is verified by experimental results.

ECAM Control System Based on Auto-tuning PID Velocity Controller with Disturbance Observer and Velocity Compensator

  • Tran, Quang-Vinh;Kim, Won-Ho;Shin, Jin-Ho;Baek, Woon-Bo
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제10권2호
    • /
    • pp.113-118
    • /
    • 2010
  • This paper proposed an ECAM (Electronic cam) control system which has simple and general structure. The proposed cam controller adopted the linear and polynomial curve-fitting method to generates a smooth cam profile curve function. Smooth motion trajectory of master actuator guarantees the good performance of slave motion and has an important effect on the interpolation quality of ECAM. The auto-tuning PID velocity controller was applied to overcome the uncertainties in ECAM, and the gains of the controller are updated continuously to ensure the consistency of system performance under varying working conditions. The robustness of system against the varying load torque disturbances and noises is guaranteed by using the load torque disturbance observer to suppress the disturbance on master actuator. The velocity compensator was applied to compensate the degradation of performance of slave motion caused from the varying driving speed of master motion. The stability and validity of the proposed ECAM control system was verified by simulation results.

MULTI-BLOCK BOUNDARY VALUE METHODS FOR ORDINARY DIFFERENTIAL AND DIFFERENTIAL ALGEBRAIC EQUATIONS

  • OGUNFEYITIMI, S.E.;IKHILE, M.N.O.
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제24권3호
    • /
    • pp.243-291
    • /
    • 2020
  • In this paper, multi-block generalized backward differentiation methods for numerical solutions of ordinary differential and differential algebraic equations are introduced. This class of linear multi-block methods is implemented as multi-block boundary value methods (MB2 VMs). The root distribution of the stability polynomial of the new class of methods are determined using the Wiener-Hopf factorization of a matrix polynomial for the purpose of their correct implementation. Numerical tests, showing the potential of such methods for output of multi-block of solutions of the ordinary differential equations in the new approach are also reported herein. The methods which output multi-block of solutions of the ordinary differential equations on application, are unlike the conventional linear multistep methods which output a solution at a point or the conventional boundary value methods and multi-block methods which output only a block of solutions per step. The MB2 VMs introduced herein is a novel approach at developing very large scale integration methods (VLSIM) in the numerical solution of differential equations.

A system of several fraction laws for the identification of rotating response of FG shell

  • Yahya, Ahmad;Hussain, Muzamal;Khadimallah, Mohamed A.;Khedher, Khaled Mohamed;Al-Basyouni, K.S.;Ghandourah, Emad;Banoqitah, Essam Mohammed;Alshoaibi, Adil
    • Advances in concrete construction
    • /
    • 제13권3호
    • /
    • pp.223-231
    • /
    • 2022
  • The problem is formulated by applying the Kirchhoff's conception for shell theory. The longitudinal modal displacement functions are assessed by characteristic beam ones meet clamped-clamped end conditions applied at the shell edges. The fundamental natural frequency of rotating functionally graded cylindrical shells of different parameter versus ratios of length-to-diameter and height-to-diameter for a wide range has been reported and investigated through the study with fractions laws. The frequency first increases and gain maximum value with the increase of circumferential wave mode. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing height-to-radius ratio. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases. The trigonometric frequencies are lower than that of exponential and polynomial frequencies. Stability of a cylindrical shell depends highly on these aspects of material. More the shell material sustains a load due to physical situations, the more the shell is stable. Any predicted fatigue due to burden of vibrations is evaded by estimating their dynamical aspects.

태양광 컨버터 시스템의 과도응답 개선을 위한 비선형 적응제어 및 안정성 해석 (Nonlinear Adaptive Control and Stability Analysis for Improving Transient Response of Photovoltaic Converter Systems)

  • 조현철;유수복;이권순
    • 제어로봇시스템학회논문지
    • /
    • 제15권12호
    • /
    • pp.1175-1183
    • /
    • 2009
  • In photovoltaic(PV) generator systems, DC-DC converters are significantly considered for control system performance in power quality point of view. This paper presents a novel adaptive control method for DC-DC converters applied in PV generator systems. First, we derive a state-space average model of the converter system and then propose a reset control methodology to enhance transient response performance for time-varying PV systems. For estimating parameters of a reset control, a gradient descent optimization is utilized and an adjustment rule of them are derived respectively. An objective of the optimization is that characteristic equation of an augmented system model which is formed with an converter system model and an reset control is to trace a predefined polynomial given as a reference characteristic model. Next, we accomplish stability analysis by means of a well-known Lyapunov theory for nonlinear converter systems including time-varying voltage excitation from a PV generator. Numerical simulation demonstrates reliability of our control methodology and its superiority by comparison to a traditional control strategy.

Transverse buckling analysis of spatial diamond-shaped pylon cable-stayed bridge based on energy approach

  • Zheng, Xing;Huang, Qiao;Zheng, Qing-gang;Li, Zhen
    • Structural Engineering and Mechanics
    • /
    • 제83권1호
    • /
    • pp.123-134
    • /
    • 2022
  • The stability of cable-stayed bridges is an important factor considered during design. In recent years, the novel spatial diamond-shaped bridge pylon has shown its advantages in various aspects, including the static response and the stability performance with the development of cable-stayed bridge towards long-span and heavy-load. Based on the energy approach, this paper presents a practical calculation method of the completed state stability of a cable-stayed bridge with two spatial diamond-shaped pylons. In the analysis, the possible transverse buckling of the girder, the top pylon column, and the mid pylon columns are considered simultaneously. The total potential energy of the spatial diamond-shaped pylon cable-stayed bridge is calculated. And based on the principle of stationary potential energy, the transverse buckling coefficients and corresponding buckling modes are obtained. Furthermore, an example is calculated using the design parameters of the Changtai Yangtze River Bridge, a 1176 m cable-stayed bridge under construction in China, to verify the effectiveness and accuracy of the proposed method in practical engineering. The critical loads and the buckling modes derived by the proposed method are in good agreement with the results of the finite element method. Finally, cable-stayed bridges varying pylon and girder stiffness ratios and pylon geometric dimensions are calculated to discuss the applicability and advantages of the proposed method. And a further discussion on the degrees of the polynomial functions when assuming buckling modes are presented.

GPS 위성시계오차의 장단기 특성 분석 (Analysis of Short-Term and Long-Term Characteristics of GPS Satellite Clock Offsets)

  • 손은성;박관동;김경희
    • 한국측량학회지
    • /
    • 제28권6호
    • /
    • pp.563-571
    • /
    • 2010
  • GPS 위성은 세슘과 루비듐으로 이루어진 원자시계가 3~4개 탑재되어 있으며 NANU 정보를 통해 현재와 과거에 사용했었던 원자시계의 종류를 파악할 수 있다. 이 연구에서는 2001년부터 2009년까지의 SP3 파일에서 각 PRN에 대한 위성시계오차를 추출하여 분석하였다. 분석 결과 대체적으로 세슘시계는 직선형태, 루비듐시계는 곡선형태의 특성을 보였으나 일정한 경향은 나타나지 않았다. 또한 일주일간의 CLK 파일에서 위성시계오차를 추출하여 각 PRN별로 1차식과 2차식으로 접합하고 그 결과를 비교하였다. 세슘시계의 경우 2차식보다 1차식이 추출 데이터와 유사하였으며 루비듐시계의 경우 2차식이 추출 데이터와 유사하였고 특정 PRN은 다차항 형태의 특성을 보였다. 그리고 Modified Allan Deviation 방법을 이용하여 2007년과 2010년의 GPS 위성을 Block별, 원자 시계별로 분석하였다. 그결과 GPS 위성은 Block별, 원자시계별로 서로 다른 특성이 보였으며 Block 또는 원자시계가 변경되면 그 특성도 변경되는 것을 확인할 수 있었다.