• Title/Summary/Keyword: 행렬부등식

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Synchronization of T-S Fuzzy Chaotic System with Time-Delay and Input Saturation (시간지연과 입력포화를 갖는 T-S 퍼지 카오스 시스템의 동기화)

  • Kim Jae-Hun;Shin Hyunseok;Kim Euntai;Park Mignon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.42 no.1
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    • pp.13-21
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    • 2005
  • This paper presents a fuzzy model-based approach for synchronization of time-delay chaotic system with input saturation. Time-delay chaotic drive and response system is respectively represented by Takagi-Sugeno (T-S) fuzzy model. Specially, the response system contains input saturation. Using the unidirectional linear error feedback and the parallel distributed compensation (PDC) scheme, we design fuzzy chaotic synchronization system and analyze local stability for synchronization error dynamics. Since time-delay in the transmission channel always exists, we also take it into consideration. The sufficient condition for the local stability of the fuzzy synchronization system with input saturation and time-delay is derived by applying Lyapunov-Krasovskii theory and solving linear matrix inequalities (LMI's) problem. A numerical example is given to demonstrate the validity of the proposed approach.

Guaranteed Cost Control for Discrete-time Linear Uncertain Systems with Time-varying Delay (시변 시간지연을 가지는 이산 선형 불확실성 시스템에 대한 보장 비용 제어)

  • Kim, Ki-Tae;Cho, Sang-Hyun;Lee, Sang-Kyung;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.6
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    • pp.20-26
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    • 2002
  • This paper deals with the guaranteed cost control problems for a class of discrete-time linear uncertain systems with time-varying delay. The uncertain systems under consideration depend on time-varying norm-bounded parameter uncertainties. We address the existence condition and the design method of the memoryless state feedback control law such that the closed loop system not only is quadratically stable but also guarantees an adequate level of performance for all admissible uncertainties. Through some changes of variables and Schur complement, It is shown that the sufficient condition can be rewritten as an LMI(linear matrix inequality) form in terms of all variables.

Study on Collaborative Filtering Algorithm Considering Temporal Variation of User Preference (사용자 성향의 시간적 변화를 고려한 협업 필터링 알고리즘에 관한 연구)

  • Park, Young-Yong;Lee, Hak-Sung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.526-529
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    • 2003
  • Recommender systems or collaborative filtering are methods to identify potentially interesting or valuable items to a particular user Under the assumption that people with similar interest tend to like the similar types of items, these methods use a database on the preference of a set of users and predict the rating on the items that the user has not rated. Usually the preference of a particular user is liable to vary with time and this temporal variation may cause an inaccurate identification and prediction. In this paper we propose a method to adapt the temporal variation of the user preference in order to improve the predictive performance of a collaborative filtering algorithm. To be more specific, the correlation weight of the GroupLens system which is a general formulation of statistical collaborative filtering algorithm is modified to reflect only recent similarity between two user. The proposed method is evaluated for EachMovie dataset and shows much better prediction results compared with GrouPLens system.

LMI Design of Multi-Objective$ Η_2/Η_\infty$Controllers for an Inverted Pendulum on the Cart Using Polytope Models (폴리토프 모델을 이용한 도립진자의 다목적$ Η_2/Η_\infty$ 제어기의 LMI 설계)

  • 이상철
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.1
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    • pp.6-13
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    • 2002
  • This paper deals with the linear matrix inequality (LMI) design procedures for multi-objective Η$_2$$_{\infty}$ controllers with pole-placement constraints for an inverted pendulum system modeled as convex polytopes to ensure the stabilizing regulator and tracking performances. Polytopic models with multiple linear time-invariant models linearized at some operating points are derived to design controllers overcoming the conservativeness such as a controller may have when it is designed for a model linearized at a single operating point. Multi-objective controllers are designed for polytopic models by the LMT design technique with convex algorithms. It is observed that the inverted pendulum controlled by any controller designed for each polytopic model is stabilizingly restored to the vertical angle position for initial values of larger tilt anlges.

A Digital Phase-locked Loop design based on Minimum Variance Finite Impulse Response Filter with Optimal Horizon Size (최적의 측정값 구간의 길이를 갖는 최소 공분산 유한 임펄스 응답 필터 기반 디지털 위상 고정 루프 설계)

  • You, Sung-Hyun;Pae, Dong-Sung;Choi, Hyun-Duck
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.4
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    • pp.591-598
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    • 2021
  • The digital phase-locked loops(DPLL) is a circuit used for phase synchronization and has been generally used in various fields such as communication and circuit fields. State estimators are used to design digital phase-locked loops, and infinite impulse response state estimators such as the well-known Kalman filter have been used. In general, the performance of the infinite impulse response state estimator-based digital phase-locked loop is excellent, but a sudden performance degradation may occur in unexpected situations such as inaccuracy of initial value, model error, and disturbance. In this paper, we propose a minimum variance finite impulse response filter with optimal horizon for designing a new digital phase-locked loop. A numerical method is introduced to obtain the measured value interval length, which is an important parameter of the proposed finite impulse response filter, and to obtain a gain, the covariance matrix of the error is set as a cost function, and a linear matrix inequality is used to minimize it. In order to verify the superiority and robustness of the proposed digital phase-locked loop, a simulation was performed for comparison and analysis with the existing method in a situation where noise information was inaccurate.