• Title/Summary/Keyword: lyapunov

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A novel Sensorless Control of SRM using the Sliding Mode Observer with the Estimation of Stator Resistance (고정자 저항 추정기틀 갖는 슬라이딩 모드 관측기를 이용한 SRM 센서리스 제어 연구)

  • Oh, Ju-Hwan;Lee, Jin-Woo;Kwon, Byung-Il
    • Proceedings of the KIEE Conference
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    • 2003.10b
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    • pp.79-82
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    • 2003
  • This paper presents a new speed and position sensorless of Switched Reluctance Motor(SRM) based on the sliding mode observer. The sliding mode observer structure and its design method are discussed. Also, Lyapunov functions are chosen for determining the speed and the stator resistance estimator. The effectiveness of the proposed observer system is confirmed by the computer simulation.

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Design of Robust Fuzzy Controller For Nonlinear System with Uncertainty Using LMI (LMI를 이용한 불확실 비선형 시스템의 강인한 퍼지 제어기 설계)

  • 전상원;주영훈;이호재;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.188-190
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    • 2000
  • This paper proposed design of robust fuzzy controller for nonlinear systems in the presence of parametric uncertainties. In the design procedure, we represent the nonlinear system using Takagi-Sugeno fuzzy model. A sufficient condition of the robust stability is presented in the sense of Lyapunov for the TSK fuzzy model with uncertainties. Finally, the effectiveness of proposed controller has been through a result of numerical simulation.

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Design of Inverse Optimal TS Fuzzy Controllers (역최적 TS 퍼지 제어기의 설계)

  • 임채환;곽기호;박주영
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.137-140
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    • 2001
  • In this paper, we design 75(Takagi-Sugeno) fuzzy controllers for the systems that can be represented by the 75 fuzzy model. We use inverse optimal approach in which the cost function is determined later than the Lyapunov function and its corresponding control input satisfying the design requirements such as stability and decay rate. The obtained design procedure is in the form of solving LMI(Linear Matrix Inequalities), thus very efficient in practice.

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Stability of time-delayed Linear Systems Based on Augmented LKF Including Time-delay Product Quadratic Terms (시간지연 곱 이차항을 포함하는 LKF에 기초한 시간지연 선형 시스템의 안정성)

  • Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.67 no.5
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    • pp.651-655
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    • 2018
  • In this paper, based on an augmented Lyapunov-Krasovskii functional(LKF) with time-delay product quadratic terms, the stability result in the form of linear matrix inequality(LMI) is proposed. In getting an LMI result, the free matrix based integral inequality is used. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

Robust Model Predictive Control Using Polytopic Description of Input Constraints

  • Lee, Sang-Moon
    • Journal of Electrical Engineering and Technology
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    • v.4 no.4
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    • pp.566-569
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    • 2009
  • In this paper, we propose a less conservative a linear matrix inequality (LMI) condition for the constrained robust model predictive control of systems with input constraints and polytopic uncertainty. Systems with input constraints are represented as perturbed systems with sector bounded conditions. For the infinite horizon control, closed-loop stability conditions are obtained by using a parameter dependent Lyapunov function. The effectiveness of the proposed method is shown by an example.

Use of Chaos in a Lyapunov Dynamic Game

  • J. Skowronski;W. J. Grantham;Lee, B.
    • Journal of Mechanical Science and Technology
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    • v.17 no.11
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    • pp.1714-1724
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    • 2003
  • Feedback strategies of a qualitative competitive game between two players can be designed such as to influence parameters of a mechanical system to induce chaotic behavior. The purpose is to reduce the options and effects of the opponent's strategy. We show it on a case with dynamics specified by a nonautonomous Duffing equation with the players represented by damping and external forcing, respectively. It seems however that the conclusions can be made valid generally.

Vision Based Mobile Robot Control (이동 로봇의 비젼 기반 제어)

  • Kim, Jin-Hwan
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.60 no.2
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    • pp.63-67
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    • 2011
  • This paper presents the mobile robot control based on vision system. The proposed vision based controller consist of the camera tracking controller and the formation controller. Th e camera controller has the adaptive gain based on IBVS. The formation controller which is designed in the sense of the Lyapunov stability follows the leader. Simluation results show that the proposed vision based mobile robot control is validated for indoor mobile robot applications.

STABILITY FOR A VISCOELASTIC PLATE EQUATION WITH p-LAPLACIAN

  • Park, Sun Hye
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.907-914
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    • 2015
  • In this paper, we consider a viscoelastic plate equation with p-Laplacian $u^{{\prime}{\prime}}+{\Delta}^2u-div({\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)+{\sigma}(t){\int}_{0}^{t}g(t-s){\Delta}u(s)ds-{\Delta}u^{\prime}=0$. By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of both ${\sigma}$ and g.

EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

  • Liu Bingwen;Huang Lihong
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.445-459
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    • 2006
  • In this paper cellular neural networks with continuously distributed delays are considered. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using fixed point theorem, Lyapunov functional method and differential inequality technique. The results of this paper are new and they complement previously known results.

GLOBAL STABILITY OF THE POSITIVE EQUILIBRIUM OF A MATHEMATICAL MODEL FOR UNSTIRRED MEMBRANE REACTORS

  • Song, Yongli;Zhang, Tonghua
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.383-389
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    • 2017
  • This paper devotes to the study of a diffusive model for unstirred membrane reactors with maintenance energy subject to a homogeneous Neumann boundary condition. It shows that the unique constant steady state is globally asymptotically stable when it exists. This result further implies the non-existence of the non-uniform steady state solution.