• 제목/요약/키워드: Time-Varying System

검색결과 1,481건 처리시간 0.033초

변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화 (Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays)

  • 김종해
    • 전기학회논문지
    • /
    • 제57권10호
    • /
    • pp.1854-1860
    • /
    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

시변시간지연을 가지는 네트워크 기반 시스템의 상태궤환 안정화 (State Feedback Stabilization of Network Based Control Systems with Time-varying Delay)

  • 정의현;서영수;이홍희
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제53권11호
    • /
    • pp.741-746
    • /
    • 2004
  • When investigating a control problem for network based control systems, the main issue is network-induced delay. This delay can degrade the performance of control systems designed without considering the delay and even destabilize the system. In this paper, we consider the stabilization of network based control systems, where there is bounded time-varying delay. This delay is treated like parameter variation of a discrete time system. The state feedback controller design is formulated as linear matrix inequality. Finally, we show that the stability of control systems designed with considering the delay is superior to that is not so.

Dynamic response of thin plates on time-varying elastic point supports

  • Foyouzat, Mohammad A.;Estekanchi, Homayoon E.
    • Structural Engineering and Mechanics
    • /
    • 제62권4호
    • /
    • pp.431-441
    • /
    • 2017
  • In this article, an analytical-numerical approach is presented in order to determine the dynamic response of thin plates resting on multiple elastic point supports with time-varying stiffness. The proposed method is essentially based on transforming a familiar governing partial differential equation into a new solvable system of linear ordinary differential equations. When dealing with time-invariant stiffness, the solution of this system of equations leads to a symmetric matrix, whose eigenvalues determine the natural frequencies of the point-supported plate. Moreover, this method proves to be applicable for any plate configuration with any type of boundary condition. The results, where possible, are verified upon comparison with available values in the literature, and excellent agreement is achieved.

Observer-Based Mixed $H_2/H_{\infty}$ Control Design for Linear Systems with Time-Varying Delays: An LMI Approach

  • Karimi, Hamid Reza
    • International Journal of Control, Automation, and Systems
    • /
    • 제6권1호
    • /
    • pp.1-14
    • /
    • 2008
  • This paper presents a convex optimization method for observer-based mixed $H_2/H_{\infty}$ control design of linear systems with time-varying state, input and output delays. Delay-dependent sufficient conditions for the design of a desired observer-based control are given in terms of linear matrix inequalities (LMIs). An observer-based controller which guarantees asymptotic stability and a mixed $H_2/H_{\infty}$ performance for the closed-loop system of the linear system with time-varying delays is then developed. A Lyapunov-Krasovskii method underlies the observer-based mixed $H_2/H_{\infty}$ control design. A numerical example with simulation results illustrates the effectiveness of the methodology.

시변 펄스형 자기장 의료기기 시스템 (Development of Medical System using Time-varying Magnetic field)

  • 김인수;홍정환
    • 한국정보통신학회논문지
    • /
    • 제11권12호
    • /
    • pp.2343-2351
    • /
    • 2007
  • 본 논문은 시변 펄스형 자기장(Time-varying Magnetic field)을 반복적으로 발생시키는 전원장치 및 전원장치에서 발생된 에너지를 자기장으로 발생키시기 위한 자기유도 코일 probe의 설계 및 구현을 통하여 짧은 시간($300{\mu}s$이하) 동안 고자기장(${\sim}1.2Tesla$)을 발생시켰다. 시간과 펄스 주기를 순차적으로 조정 할 수 있는 다단 메쉬 방식으로 설계하여 고반복적($0.1Hz{\sim}20Hz$)으로 스위칭했을 경우에도 동일한 출력세기를 발생시킬 수 있는 자기장 의료기기 시스템을 구현하였다.

Sliding Mode Controller with Enhanced Performance Using Time-Varying Surface and Fuzzy Logic

  • Park, Chang-Woo;Park, Soon-Hyung;Park, Mignon
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
    • /
    • pp.51-54
    • /
    • 2000
  • In variable structure control algorithm, sliding mode makes the closed loop system insensitive to modelling uncertainties and external disturbances. However due to imperfections in switching, the system trajectory chatters, which is very undesirable. And the insensitivity property of a sliding mode controller is present only when the system is in the sliding mode. To overcome these shortcomings, in this paper, new sliding mode control algorithm using time-varying sliding surface and fuzzy PI structrue is proposed.

  • PDF

Time-varying characteristics analysis of vehicle-bridge interaction system using an accurate time-frequency method

  • Tian-Li Huang;Lei Tang;Chen-Lu Zhan;Xu-Qiang Shang;Ning-Bo Wang;Wei-Xin Ren
    • Smart Structures and Systems
    • /
    • 제33권2호
    • /
    • pp.145-163
    • /
    • 2024
  • The evaluation of dynamic characteristics of bridges under operational traffic loads is a crucial aspect of bridge structural health monitoring. In the vehicle-bridge interaction (VBI) system, the vibration responses of bridge exhibit time-varying characteristics. To address this issue, an accurate time-frequency analysis method that combines the autoregressive power spectrum based empirical wavelet transform (AR-EWT) and local maximum synchrosqueezing transform (LMSST) is proposed to identify the time-varying instantaneous frequencies (IFs) of the bridge in the VBI system. The AR-EWT method decomposes the vibration response of the bridge into mono-component signals. Then, LMSST is employed to identify the IFs of each mono-component signal. The AR-EWT combined with the LMSST method (AR-EWT+LMSST) can resolve the problem that LMSST cannot effectively identify the multi-component signals with weak amplitude components. The proposed AR-EWT+LMSST method is compared with some advanced time-frequency analysis techniques such as synchrosqueezing transform (SST), synchroextracting transform (SET), and LMSST. The results demonstrate that the proposed AR-EWT+LMSST method can improve the accuracy of identified IFs. The effectiveness and applicability of the proposed method are validated through a multi-component signal, a VBI numerical model with a four-degree-of-freedom half-car, and a VBI model experiment. The effect of vehicle characteristics, vehicle speed, and road surface roughness on the identified IFs of bridge are investigated.

Modal identification of time-varying vehicle-bridge system using a single sensor

  • Li, Yilin;He, Wen-Yu;Ren, Wei-Xin;Chen, Zhiwei;Li, Junfei
    • Smart Structures and Systems
    • /
    • 제30권1호
    • /
    • pp.107-119
    • /
    • 2022
  • Modal parameters are widely used in bridge damage detection, finite element model (FEM) updating and design optimization. However, the conventional modal identification approaches require large number of sensors, enormous data processing workload, but normally result in mode shapes with low accuracy. This paper proposes a modal identification method of time-varying vehicle-bridge system using a single sensor. Firstly, the essential physical relationship between the instantaneous frequency of the vehicle-bridge system and the bridge mode shapes are derived. Subsequently, based on the synchroextracting transform, the instantaneous frequency of the system is tracked through the dynamic response collected by a single sensor, and further the modal parameters are estimated by using the derived physical relationship. Then numerical and experimental examples are conducted to examine the feasibility and effectiveness of the proposed method. Finally, the modal parameters identified by the proposed method are applied in bridge FEM updating. The results manifest that the proposed method identifies the modal parameters with high accuracy via a single sensor, and can provide reliable data for the FEM updating.

선형시변 시스템의 안정도 영역에 관하여 (On a Stability Region of Liner Time-Varying Systems)

  • 최종호;장태정
    • 대한전기학회논문지
    • /
    • 제37권7호
    • /
    • pp.484-489
    • /
    • 1988
  • Sufficient conditions concerning the perturbation region of system parameters, which guarantee the asymptotic stability of linear time- varying systems, are presented. These conditions are obtained by Lyapunov function approach for continuous-time and discrete-time systems. Also, a computational algorithm using nonlinear programming is proposed for finding the maximum perturbation region which satisfies the sufficient condition for the continuous-time systems. The technique of finding the solution for the continuous-time systems can also be applied to the discrete-time systems. In the continuous-time case, it is shown by an example that the method proposed in this paper yields much larger perturbation region of parameters than other previously reported results. An example of the perturbation region of system paramters for the discrete-time system is also given.

  • PDF

시변 지연이 있는 비선형 시스템에 대한 $H_{\infty}$ 퍼지 강인제어기 설계 (Static Output Feedback Robust $H_{\infty}$ Fuzzy Control of Nonlinear Systems with Time-Varying Delay)

  • 김택룡;박진배;주영훈
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
    • /
    • pp.379-381
    • /
    • 2004
  • In this paper, a robust $H_{\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H_{\infty}$ controllers are given in terms of linear matrix inequalities.

  • PDF