• 제목/요약/키워드: Time-varying

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비구조화된 불확실성과 시변 지연시간을 갖는 이산 시변 구간 시스템의 안정조건 (Stability Condition for Discrete Interval Time-Varying System with Unstructured Uncertainty and Time-Varying Delay Time)

  • 한형석
    • 한국항행학회논문지
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    • 제26권6호
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    • pp.504-509
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    • 2022
  • 본 논문에서는 시변 지연 시간이 있는 선형 이산 시변 구간 시스템에 비구조화된 불확실성이 존재하는 경우에 대하여 안정조건을 다룬다. 구간 시스템은 시스템 행렬들이 구간행렬의 형태로 주어지는 시스템으로 본 논문에서는 이러한 구간 시스템 행렬과 상태변수의 지연 시간이 시변인 특성을 갖는 시스템에 대하여, 비선형성을 포함하며 그 크기만을 알 수 있는 비구조화된 불확실성이 존재하는 경우에 대한 시스템의 안정조건을 제안한다. 안정조건의 유도는 리아프노프 방정식의 상한 해를 이용하는 기존 결과와는 다르게 리아프노프 안정 조건을 기반으로 이루어지며, 간단한 부등식의 형태로 표현되어 안정성 판단에 편리하게 적용될 수 있는 장점을 갖는다. 또한, 제안된 안정조건은 기존에 발표된 다양한 선형 이산 시스템에 대한 안정 조건을 포함할 수 있는 포괄적이고 강력한 것으로, 시변 지연시간 변동 크기, 불확실성의 크기와 구간행렬의 범위를 모두 조건식에 포함하게 된다. 새로운 조건의 우수함은 유도과정에서 증명되어지며 수치예제를 통하여 제안된 조건의 효용성과 우수성을 검증한다.

시변 시간 지연을 갖는 불확실한 이산 시간 선형 시스템의 견실 안정성 (Robust Stability of Uncertain Discrete-Time Linear Systems with Time-Varying Delays)

  • 송성호;박섭형;이봉영
    • 제어로봇시스템학회논문지
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    • 제5권6호
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    • pp.641-646
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    • 1999
  • This paper deals with the robust stability of discrete-time linear systems with time- varying delays and norm-bounded uncertainties. In this paper, the magnitude of time-varying delays is assumed to be upper-bounded. The sufficient condition is presented in terms of linear matrix inequality. It is also shown that the robust stability of uncertain discrete-time linear systems with time-varying delays is related with the quadratic stability of uncertain discrete-time linear systems with constant time delay.

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시변 시간지연을 갖는 이산시스템의 시변 불확실성의 안정 범위 (Stability Bounds of Time-Varying Uncertainty and Delay Time for Discrete Systems with Time-Varying Delayed State)

  • 한형석
    • 제어로봇시스템학회논문지
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    • 제18권10호
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    • pp.895-901
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    • 2012
  • The stability robustness problem of linear discrete systems with time-varying unstructured uncertainty of delayed states with time-varying delay time is considered. The proposed conditions for stability can be used for finding allowable bounds of timevarying uncertainty and delay time, which are solved by using LMI (Linear Matrix Inequality) and GEVP (Generalized Eigenvalue Problem) known as powerful computational methods. Furthermore, the conditions can imply the several previous results on the uncertainty bounds of time-invariant delayed states. Numerical examples are given to show the effectiveness of the proposed algorithms.

시변시간지연을 갖는 이산시간 선형시스템의 점근안정도 (Asymptotic Stability of Discrete Time Linear Systems with Time Varying Delays)

  • 송성호;김점근;강창익
    • 대한전기학회논문지:전력기술부문A
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    • 제48권5호
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    • pp.580-585
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    • 1999
  • This paper deals with the stability of discrete time linear systems with time varying delays in state. In this paper, the magnitude of time-varying delays is assumed to be upper-bouded. The stability of discrete time linear systems with time-varying delays in state is related with the stability of discrete time linear systems with constant time delay in state. To show this, a new Lyapunov function is proposed. Using this Lyapunov function, a sufficient condition for the asymptotic stability is derived.

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적분 제어기를 이용한 이종 시변 외란을 갖는 선형 시변 다 개체 시스템의 동기화 (Synchronization of Linear Time-Varying Multi-Agent Systems with Heterogeneous Time-Varying Disturbances Using Integral Controller)

  • 김재용;양종욱;심형보;김정수
    • 제어로봇시스템학회논문지
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    • 제18권7호
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    • pp.622-626
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    • 2012
  • This paper presents synchronization of LTV (Linear Time-Varying) MAS (Multi-Agent Systems) with heterogeneous time-varying disturbances under a fixed, connected, and undirected communication network. All the agents can collect only relative state information from their neighborhoods. To achieve synchronization of the MAS, an integral control scheme is proposed based on relative state information between agents.

시변 2상 최적화 및 이의 신경회로망 학습에의 응용 (Time-Varying Two-Phase Optimization and its Application to neural Network Learning)

  • 명현;김종환
    • 전자공학회논문지B
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    • 제31B권7호
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    • pp.179-189
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    • 1994
  • A two-phase neural network finds exact feasible solutions for a constrained optimization programming problem. The time-varying programming neural network is a modified steepest-gradient algorithm which solves time-varying optimization problems. In this paper, we propose a time-varying two-phase optimization neural network which incorporates the merits of the two-phase neural network and the time-varying neural network. The proposed algorithm is applied to system identification and function approximation using a multi-layer perceptron. Particularly training of a multi-layer perceptrion is regarded as a time-varying optimization problem. Our algorithm can also be applied to the case where the weights are constrained. Simulation results prove the proposed algorithm is efficient for solving various optimization problems.

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채터링 감소를 위한 퍼지 슬라이딩모드 제어 (Fuzzy-Sliding Mode Control for Chattering Reduction)

  • 이태경;한종길;함운철
    • 제어로봇시스템학회논문지
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    • 제7권5호
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    • pp.393-398
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    • 2001
  • This paper presents a new method with time-varying boundary layer and input gain, variated by Fuzzy Logic Control(FLC) by means of the system state in Sliding Mode Control (SMC). In addition to the time-varying boundary layer, the time-varying range of the fuzzy membership function has an effect on not only chattering reduction but also fast response characteristics. On the basis of SMC with time-varying boundary and FLC with time-varying input and output range, a computer simulation for inverted pendulum results in elimination of the chattering phenomenon and fast response.

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Time-varying Cointegration Models and Exchange Rate Predictability in Korea

  • PARK, SOOKYUNG;PARK, CHEOLBEOM
    • KDI Journal of Economic Policy
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    • 제37권4호
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    • pp.1-20
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    • 2015
  • We examine the validity of popular exchange rate models such as the purchasing power parity (PPP) hypothesis and the monetary model for Korean won/US dollar exchange rate. Various specification tests demonstrate that Korean data are more favorable for both models based on time-varying cointegration coefficients as compared to those based on constant cointegration coefficients. When the abilities to predict future exchange rates between those models based on time-varying cointegration coefficients are compared, an in-sample analysis shows that the time-varying PPP (monetary model) has better predictive power over horizons shorter (longer) than one year. Results from an out-of-sample analysis indicate that the time-varying PPP outperforms models based on constant cointegration coefficients when predicting future exchange rate changes in the long run.

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'관측 시간'개념을 이용한 로보트의 시변 장애물 회피 동작 계획 (Robot motion planning for time-varying obstacle avoidance using view-time concept)

  • 고낙용;이범희;고명삼;남윤석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.1040-1045
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    • 1991
  • An approach to time-varying obstacle avoidance problem is pursued. The mathematical formulation of the problem is given in Cartesian space and in joint space. To deal with the time-varying obstacles, view-time is introduced. A view-time is the time interval viewing the time-varying obstacles to model equivalent stationary obstacles. For the analysis of the properties of the view-time, avoidability measure is defined as a measure of easiness for a robot to avoid obstacles. Based on the properties, a motion planning strategy to avoid time-varying obstacles is derived. An application of the strategy to the collision-free motion planning of two SCARA robots and the simulation on the application are given.

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Design of Stable Time-varying Sliding Mode System

  • Kim, Ga-Gue;Ma, Jin-Suk;Lim, Chae-Deok;Choi, Bong-Yeol
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.62.2-62
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    • 2001
  • In this paper, we present a new time-varying sliding mode system that guarantees stable error convergence. The previous papers have dealt with stability of the time-varying sliding mode system by point-wisely investigating the stability of time-invariant system every time. However, it may be unstable even though it guarantees time-invariant stability every time, We designed the time-varying sliding surface so that the resultant time-varying system on sliding mode may be Stable. The initial sliding surface is obtained so that shifting distance of the surface may be minimized with respect to an initial error, and the intercept is produced so that the surface may pass the initial error.

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