• Title/Summary/Keyword: Lyapunov 안정

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Modified Decentralized Bang-Bang Control Seismically Excited Structures Using MR Dampers (지진하중을 받는 구조물의 수정된 분산뱅뱅 제어기법을 이용한 MR Damper 제어)

  • Cho, Sang-Won;Kim, Byung-Wan;Kim, Woon-Hak;Lee, In-Won
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.417-423
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    • 2002
  • Magnetorheological(MR) 댐퍼는 적은 용량의 전력을 사용하고 반응속도가 빠른 장점 때문에 구조물의 내진제어에 적당하여, 근래에 주목받고 있는 새로운 장치이다. MR 댐퍼는 반능동 제어 장치로써, 능동 질량감쇠기와는 다른 특성을 갖는다. 즉 필요한 제어력을 제어신호로 직접 생성해 낼 수 없는 대신에 MR 댐퍼의 입력전원을 제어하여 간접적으로 제어한다. 따라서 MR 댐퍼의 반능동 제어장치로써의 특성을 고려하는 효과적인 제어기법이 요구된다. 그러므로 본 연구에서는 지진에 대한 구조물의 응답을 줄이기 위해서, MR댐퍼를 제어할 수 있는 반능동 제어기법을 Lyapunov 안정성 이론을 바탕으로 제안하고자 한다. 제안방법을 검증하기 위해, 전단형 MR 댐퍼를 1층과 2층에 설치한 수치예제를 수행하였다.

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FL Deadzone Compensation of a Mobile robot (이동로봇의 퍼지 데드존 보상)

  • Jang, Jun Oh
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.4
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    • pp.191-202
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    • 2013
  • A control structure that makes possible the integration of a kinematic controller and a fuzzy logic (FL) deadzone compensator for mobile robots is presented. A tuning algorithm is given for the fuzzy logic parameters, so that the deadzone compensation scheme becomes adaptive, guaranteeing small tracking errors and bounded parameter estimates. Formal nonlinear stability proofs are given to show that the tracking error is small. The fuzzy logic deadzone compensator is implemented on a mobile robot to show its efficacy.

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

  • 최종호;장태정
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.484-489
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    • 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.

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Adaptive Backstepping Control Using Self Recurrent Wavelet Neural Network for Stable Walking of the Biped Robots (이족 로봇의 안정한 걸음새를 위한 자기 회귀 웨이블릿 신경 회로망을 이용한 적응 백스테핑 제어)

  • Yoo Sung-Jin;Park Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.3
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    • pp.233-240
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    • 2006
  • This paper presents the robust control method using a self recurrent wavelet neural network (SRWNN) via adaptive backstepping design technique for stable walking of biped robots with unknown model uncertainties. The SRWNN, which has the properties such as fast convergence and simple structure, is used as the uncertainty observer of the biped robots. The adaptation laws for weights of the SRWNN and reconstruction error compensator are induced from the Lyapunov stability theorem, which are used for on-line controlling biped robots. Computer simulations of a five-link biped robot with unknown model uncertainties verify the validity of the proposed control system.

Sliding Mode Control with Sliding Sector for Chattering Reduction (채터링 감소를 위한 슬라이딩 섹터를 갖은 슬라이딩 제어)

  • Han, Jong-Kil;Son, Yong-Su
    • The Journal of the Korea institute of electronic communication sciences
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    • v.2 no.3
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    • pp.168-173
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    • 2007
  • Chattering phenomenon is still a large drawback of VSS. To overcome this problem, various approaches have been reported. A new notion of sliding sector has been proposed recently. In this paper, new methods of the nonlinear system control using the sliding sector theory with continued input function in the sector is proposed. This paper analyzes the stability, using Lyapunov function on the sliding sector. computer simulation for inverted pendulum results in elimination of the chattering phenomenon.

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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.

A Study on the Robust Controller in Independent Modal space for Parameter Errors (파라메타 오차에 강인한 독립모달공간 제어기법에 대한 연구)

  • 황재혁;김준수;박대성;박명호
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.595-605
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    • 1996
  • If the control force designed on the basis of the mathematical model with parameter errors is applied to control the actual system, the closed-loop performance of the actual system will be degraded depending on the degree of the errors, In this study, the effect of parameter errors on the robustness of several natural controls has been analyzed and compared. Every asymptoic stability condition for the natural controls has been derived using Lyapunov approach, and the characteristics of the stability conditions has also been compared. The extent of deviation of the closed-loop performance from the designed one for the natural controls is derived using operator techniques, and evaluated by numerical method. It has been found that the optimal control, acceleration feedback control, and acceleration-position feedback control among the considered natural controls would be robust one with respect to the parameter errors.

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Stability of Interval Time-delayed Linear Systems using a Switched System Approach (전환 시스템 접근법을 이용한 구간 시간지연 선형 시스템의 안정성)

  • Kim, Joo-Kyeong;Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.673-678
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    • 2013
  • This paper considers the stability of linear systems having an interval time-varying delay using a switched system approach. The time-delay system is converted to the switched system equivalently, and then a stability criterion in the form of linear matrix inequality(LMI) is derived by using a parameter dependent Lyapunov-Krosovskii function(PD-LKF). In constructing a PD-LKF, the decomposition is employed for delay free intervals, and the reduction of conservatism is shown analytically as the number of decomposition increases. Finally, two well-known numerical examples are given to show the reduction of conservatism compared to the recent results.

Stability of Time-delayed Linear Systems using an Improved Integral Inequality (개선된 적분부등식을 이용한 시간지연 선형 시스템의 안정성)

  • Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.5
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    • pp.806-811
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    • 2017
  • This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame work of Lyapunov-Krasovskii functional(LKF) approach. In this approach, an integral inequality is essential to estimate the upper bound of time-derivative of LKF, and a less conservative one is needed to get a less conservative stability result. In this paper, based on free weighting matrices, an improved integral inequality encompassing well-known results is proposed and then a stability result in the form of linear matrix inequality is derived based on an augmented LKF. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

Stable Wavelet Based Fuzzy Neural Network for the Identification of Nonlinear Systems (비선형 시스템의 동정을 위한 안정한 웨이블릿 기반 퍼지 뉴럴 네트워크)

  • Oh, Joon-Seop;Park, Jin-Bae;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2681-2683
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    • 2005
  • In this paper, we present the structure of fuzzy neural network(FNN) based on wavelet function, and apply this network structure to the identification of nonlinear systems. For adjusting the shape of membership function and the connection weights, the parameter learning method based on the gradient descent scheme is adopted. And an approach that uses adaptive learning rates is driven via a Lyapunov stability analysis to guarantee the fast convergence. Finally, to verify the efficiency of our network structure. we compare the Identification performance of proposed wavelet based fuzzy neural network(WFNN) with those of the FNN, the wavelet fuzzy model(WFM) and the wavelet neural network(WNN) through the computer simulation.

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