• Journal of Advanced Navigation Technology
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• v.24 no.6
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• pp.607-612
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• 2020

In this paper, we deal with the stability of linear discrete systems with time-varying delays and unstructured uncertainty. Stability conditions are derived based on Lyapunov stability theory, and can include the effect of uncertainty. The unstructured uncertainty in the papaer which can not be figured out its exact characteristics and only can be expreesed by its magnitude is considered. Compared with the previous results on the stability, the new results can expand the applicable systems and alleviate the stability conditions which are more effective and powerful. The proposed stability condition is expressed in the form of an simple inequality, and includes the both effects of the uncertainties and time-varying delay. We present the results comparing the new stability condition with the existing results, and verify the effectiveness and the superiority of the proposed results through numerical example.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2006.05a
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• pp.75-78
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• 2006

본 논문에서 우리는 HIV-1 바이오 동역학모델의 퍼지 모델링 및 디지털 퍼지 제어 기법을 소개한다. 그것의 제어구조는 샘플링 점들에서 측정한 상태로부터 현재 상태를 대략적으로 예측하는 수치적 적분 구조를 사용한다. 제안된 지능형 디지털 재설계에서는 전역 상태-정합과 안정도 조건들을 동시적으로 만족하는 타당한 디지털 제어 이득들을 찾는 것이다. 우리는 보상된 블록-펄스 함수를 이용하여 새로운 전역 상태-정합 조건을 우선 제시하며 그리고 나서 안정도 조건들을 이 조건들에 추가한다. 유도된 조건들은 선형행렬 부등식으로 묘사되며, 그로인해 볼록 최적화 문제로 쉽게 해결될 수 있다. 또한, 안정도 조건으로 인한 성능 하강을 방지하기 위해 두 단계 지능형 디지털 재설계 과정이 제안된다. 첫 번째 단계에서는 전역 상태-정합만을 고려한 디지털 제어 이득을 찾는다. 두 번째 단계에서는 얻어진 디지털 제어하의 폐루프 시스템을 안정화 시키는 추가디지털 제어기를 설계한다.

• Journal of Advanced Navigation Technology
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• v.20 no.5
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• pp.475-481
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• 2016

In this paper, the new stability condition of linear discrete interval time-varying systems with time-varying delay time is proposed. The considered system has interval time-varying system matrices for both non-delayed and delayed states with time-varying delay time within given interval values. The proposed condition is derived by using Lyapunov stability theory and expressed by very simple inequality. The restricted stability issue on the interval time-invariant system is expanded to interval time-varying system and a powerful stability condition which is more comprehensive than the previous is proposed. As a results, it is possible to avoid the introduction of complex linear matrix inequality (LMI) or upper solution bound of Lyapunov equation in the derivation of sufficient condition. Also, it is shown that the proposed result can include the many existing stability conditions in the previous literatures. A numerical example in the pe revious works is modified to more general interval system and shows the expandability and effectiveness of the new stability condition.

• Journal of Advanced Navigation Technology
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• v.26 no.6
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• pp.504-509
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• 2022

In this paper, we deal with the stability condition of linear time-varying interval discrete systems with time-varying delays and unstructured uncertainty. For the time-varying interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new result is derived by the form of simple inequality based on Lyapunov stability condition and has the advantage of being more effective in checking stability. Furthermore, the proposed condition is very comprehensive, powerful and inclusive the previously published conditions of various linear discrete systems, and can be expressed by the terms of magnitudes of the time-varying delay time and uncertainty, and bounds of interval matrices. The superiority of the new condition is shown in the derivation, and the usefulness and advantage of the proposed condition are examined through numerical example.

• Journal of Advanced Navigation Technology
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• v.25 no.6
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• pp.551-556
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• 2021

In this paper, we deal with the stability condition of linear interval discrete systems with time-varying delays and unstructured uncertainty. For the interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new results are derived by the form of simple inequality based on Lyapunov stability condition and have the advantage of being more effective in stability application. Furthermore, the proposed stable conditions are very comprehensive and powerful, including the previously published stable conditions of various linear discrete systems. The superiority of the new condition is proven in the derivation process, and the utility and superiority of the proposed condition are examined through numerical example.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.17 no.10 s.113
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• pp.929-934
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• 2006

In the paper, we suggest a simpler synthesis technique for capacitively-coupled match circuit(CCMC) which have a function of DC block and impedance matching simultaneously, and introduce a stability margin analysis technique for designing microwave amplifier under conditionally stable state. Stability margin analysis is used to determine optimum match point that ensure maximum gain under the given stability margin. It can reduce time consuming work for selecting match points in the conditionally stable state. Also, suggested miniaturization scheme of matching network is distinguished from previous work with respect to reducing deterministic parameters for CCMC synthesis. To verify utility of suggested method, 24 GHz gain block is fabricated under conditionally stable state using an internal thin-film fabrication process, Measured results show a stable gain of 10 dB and flatness of 1 dB, which is well coincident with simulated one.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.47 no.4
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• pp.1-6
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• 2010

In this paper, we present a new delay-dependent and parameter-dependent robust stability condition for uncertain singular systems with polytopic parameter uncertainties and time-varying delay. The robust stability criterions based on parameter-dependent Lyapunov function are expressed as LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general algorithm for both singular systems and non-singular systems. Finally, numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.

• Bulletin of Food Technology
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• v.12 no.4
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• pp.36-44
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• 1999

기존의 미국 식품의약국(FDA, Food and Drug Administration)규정에 따르면 어떤 식품첨가물의 기능과 안정성을 평가하는 방법은 그때 그때 각각의 경우에 맞게 설정하여 실시하게 되어 있다. 이런 평가 방법은 포괄적이기는 하지만 과잉의 기능과 안정성 시험을 실시하는 결과를 초래해 왔다. 여기서는 새로운 식품 첨가물에 대한 안정성 시험 시 그 첨가물이 사용되는 실제 조건 하에서 체계적이고 과학적인 접근 방법에 따라 시험이 되도록 할 것을 제안하고자 한다. 체계적인 방법으로 시험하기 위해서는 새로 개발된 식품첨가물들이 사용하게 될 적용 대상 식품의 여러가지조건(pH, 수분, 가공 및 저장 온도)에서 그 첨가물의 안정성에 영향을 미치는 화학적, 물리적 주요 요인들이 먼저 결정되어야 한다. 그 다음 기능성과 안전성에 관련된 요소들이 하나의 모델 시스템으로 조직화되어 주요요인들의 측정 범위가 정해져야 한다. 마지막으로 설정된 모델 시스템은 첨가물이 실제 적용받게 되는 가공,운송, 저장 조건 하에서의 사용 조건을 고려한 상태에서 첨가물을 시험하여 기능과 안정성이 입증되어야 한다. 일단 증명이 되면 그 모델 시스템은 사용 가능성이 있는 적용 범위에까지도 그 첨가물의 기능성과 안정성을 평가할 수 있게 해준다. 이 논문에서는 식품첨가물 시험방법에 대한 체계적인 접근 방법을 설명하고 아스파탐의 예를 들어서 그 방법을 조명해 보고자 한다.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.37 no.1
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• pp.21-31
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• 2000

In this paper, an analysis of the stability for a class of discrete-time neural network control systems is presentd. Based on Lyapunov's direct method, a sufficient stability condition for the neural network control systems is systematically derived and the modified back propagation algorithm which reflects the derived stability condition is suggested. The modified BP originates from the derived sufficient condition and guarantees the exponential stability of the resulting trained closed system. Finally, computer simulation is included to show an example where the derived stability condition and the BP modified bythe condition is used to train the control plant.

• Proceedings of the KIEE Conference
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• 2007.07a
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• pp.1654-1655
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• 2007

본 논문은 시간 변동 시간 지연을 가지는 불확실한 선형 뉴트럴 시스템에 관한 관측기 설계에 대해서 논의한다. Lyapunov-Krasovskii의 이론을 이용하여 불확실한 시간 지연을 가지는 시스템의 안정도를 판별한다. 뉴트럴 시스템의 안정도 조건을 시간 변동 시간 지연에 종속적인 충분조건으로 제시한다. 선형 행렬 부등식을 이용하여 안정도 조건을 제시하고, 선형 행렬 부등식의 해를 이용하여 관측기의 이득값을 설계한다. 설계된 관측기의 이득값을 포함한 오차 상태 방정식의 안정도를 판별한다. 예제를 통하여 논문의 결과를 입증하였다.