• Title/Summary/Keyword: time-varying

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New Delay-dependent Stability Criteria for Uncertain Stochastic Systems with Time-varying Delays (시변 지연이 존재하는 불확실 스토캐스틱 시스템의 지연의존 안정성)

  • Kwon, Oh-Min;Park, Ju-Hyun;Lee, Sang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.11
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    • pp.2261-2265
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    • 2009
  • In this paper, the problem of delay-dependent stability of uncertain stochastic systems with time-varying delay is considered. The uncertainties are assumed to be norm-bounded. Based on the Lyapunov stability theory, new delay-dependent stability criteria for the system are derived in terms of LMI(linear matrix inequality). Two numerical examples are given to show the effectiveness of proposed method.

ON FRACTIONAL TIME-VARYING DELAY INTEGRODIFFERENTIAL EQUATIONS WITH MULTI-POINT MULTI-TERM NONLOCAL BOUNDARY CONDITIONS

  • K. Shri Akiladevi;K. Balachandran;Daewook Kim
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.3
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    • pp.803-823
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    • 2024
  • In this paper, we study the existence and uniqueness of solutions for the fractional time-varying delay integrodifferential equation with multi-point multi-term nonlocal and fractional integral boundary conditions by using fixed point theorems. The fractional derivative considered here is in the Caputo sense. Examples are provided to illustrate the results.

Real-Time Haptic Rendering for Tele-operation with Varying Communication Time Delay (가변적인 통신지연시간을 갖는 원격 작업 환경을 위한 실시간 햅틱 렌더링)

  • Lee, K.;Chung, S.Y.
    • Journal of Power System Engineering
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    • v.13 no.2
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    • pp.71-82
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    • 2009
  • This paper presents a real-time haptic rendering method for a realistic force feedback in a remote environment with varying communication time-delay. The remote environment is assumed as a virtual environment based on a computer graphics, for example, on-line shopping mall, internet game and cyber-education. The properties of a virtual object such as stiffness and viscosity are assumed to be unknown because they are changed according to the contact position and/or a penetrated depth into the object. The DARMAX model based output estimator is proposed to trace the correct impedance of the virtual object in real-time. The output estimator is developed on the input-output relationship. It can trace the varying impedance in real-time by virtue of P-matrix resetting algorithm. And the estimator can trace the correct impedance by using a white noise that prevents the biased input-output information. Realistic output forces are generated in real-time, by using the inputs and the estimated impedance, even though the communication time delay and the impedance of the virtual object are unknown and changed. The generated forces trace the analytical forces computed from the virtual model of the remote environment. Performance is demonstrated by experiments with a 1-dof haptic device and a spring-damper-based virtual model.

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Consideration of variable structure controller for robust control and its application to robot manipulator (강인한 제어를 위한 가볍 구조 제어기의 고찰 및 로봇 매니퓰레이터의 적용)

  • 남경태;박정일;이석규
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.771-774
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    • 1996
  • This paper presents a continuous time varying sliding surface that allows faster tracking and really guarantees robust contro land smooths control inputs. And this method is evaluated by applying to robot manipulator.

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An Analysis of the Acoustical Source Characteristics in the Time-varying Fluid Machines (유체기계 덕트 내 시변 음원의 음향 특성에 관한 연구)

  • 장승호;이준신;이정권
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.2
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    • pp.104-112
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    • 2003
  • The in-duct acoustical sources of fluid machines are often characterized by the source impedance and strength using the linear time-invariant model. However, negative resistances, which are physically unreasonable, have been found throughout various measurements of the source properties in IC-engines and compressors. In this paper, the effects of the time-varying nature of fluid machines on the source characteristics are studied analytically. For this purpose, the simple fluid machine consisting of a reciprocating piston and an exhaust is considered as representing a typical periodic, time-varying system and the equivalent circuits are analyzed. Simulated measurements using the analytic solutions show that the time-varying nature in the actual sources is one of the main causes of the negative source resistances. It is also found that, for the small magnitude of the time-varying component, the source radiates large acoustic power if the piston operates at twice the natural frequency of the static system. or integral submultiples of that rate.

Optimal Power Allocation for Channel Estimation of OFDM Uplinks in Time-Varying Channels

  • Yao, Rugui;Liu, Yinsheng;Li, Geng;Xu, Juan
    • ETRI Journal
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    • v.37 no.1
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    • pp.11-20
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    • 2015
  • This paper deals with optimal power allocation for channel estimation of orthogonal frequency-division multiplexing uplinks in time-varying channels. In the existing literature, the estimation of time-varying channel response in an uplink environment can be accomplished by estimating the corresponding channel parameters. Accordingly, the optimal power allocation studied in the literature has been in terms of minimizing the mean square error of the channel estimation. However, the final goal for channel estimation is to enable the application of coherent detection, which usually means high spectral efficiency. Therefore, it is more meaningful to optimize the power allocation in terms of capacity. In this paper, we investigate capacity with imperfect channel estimation. By exploiting the derived capacity expression, an optimal power allocation strategy is developed. With this developed power allocation strategy, improved performance can be observed, as demonstrated by the numerical results.

An Equalization Technique for OFDM and MC-CDMA in a Slowly Time-Varying Multipath Fading Channel (시변 다중 경로 페이딩 채널에서 OFDM, MC-CDMA의 등화 기법)

  • 최종호;조용수
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1996.06a
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    • pp.3-7
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    • 1996
  • In this paper, the performances of OFDM and MC-CDMA systems in a slowly-varying multipath fading environment is investigated. Time variation of the multipath channel leads to both a change of an optimal coefficient in one-tap equalizer and a loss of subchannel orthogornality, resulting in significant performance loss. A new simple one-tap equalizer which can reduce the effect of slowly time-varying multipath channel is proposed by taking into account time-variation of multipath profile and modifying the previous equalization techniques. It is demonstrated by computer simulation that the performances of OFDM and MC-CDMA systems can be improved by using the proposed one-tap equalizers when the multipath channel is slowly varying.

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A Robust Controller Design for Manipulators using Time-Varying Sliding Manifolds (시변 스위칭 평면을 이용한 로보트 매니퓰레이터의 견실한 제어기의 설계)

  • Park, Gwi-Tae;Kim, Dong-Sik;Lim, Sung-Jun
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.391-395
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    • 1990
  • A new control algorithm is developed to achieve the robust performance of the system during the overall control process. Time-varying sliding manifolds are proposed to remove the reaching phase which is one of common shortcomings of variable structure control scheme. A necessary and sufficient condition for the existence of a sliding mode on the newly proposed time-varying sliding mode on the newly proposed time-varying sliding manifolds is derived by Lyapunov's second method. The digital simulation results show that the newly proposed control algorithm is superior to the typical variable structure control algorithm with respect to the robust performance of the system. The simplicity of the proposed control algorithm encourages control engineers to implement the proposed control algorithm in many control problems.

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

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.379-381
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    • 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.

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Robust Delay-dependent Stability Criteria for Takagi-Sugeno Fuzzy Systems with Time-varying Delay (시변지연을 가지는 TS퍼지시스템을 위한 견실 시간종속 안정성판별법)

  • Liu, Yajuan;Lee, Sangmoon;Kwon, Ohmin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.6
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    • pp.891-899
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    • 2015
  • This paper presents the robust stability condition of uncertain Takagi-Sugeno(T-S) fuzzy systems with time-varying delay. New augmented Lyapunov-Krasovskii function is constructed to ensure that the system with time-varying delay is globally asymptotically stable. Also, less conservative delay-dependent stability criteria are obtained by employing some integral inequality, reciprocally convex approach and new delay-partitioning method. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.