• 제목/요약/키워드: Stability Function

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나선 예측 모델에서의 비행체 하중수 및 각속도 최적 제어에 의한 제어성과 안정성 성능에 관한 연구 (A Study for Controllability, Stability by Optimal Control of Load and Angular Velocity of Flying Objects using the Spiral Predictive Model(SPM))

  • 왕현민
    • 제어로봇시스템학회논문지
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    • 제13권3호
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    • pp.268-272
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    • 2007
  • These days many scientists make studies of feedback control system for stability on non-linear state and for the maneuver of flying objects. These feedback control systems have to satisfy trajectory condition and angular conditions, that is to say, controllability and stability simultaneously to achieve mission. In this paper, a design methods using model based control system which consists of spiral predictive model, Q-function included into generalized-work function is shown. It is made a clear that the proposed algorithm using SPM maneuvers for controllability and stability at the same time is successful in attaining our purpose. The feature of the proposed algorithm is illustrated by simulation results. As a conclusion, the proposed algorithm is useful for the control of moving objects.

비선형 시스템의 퍼지 모델링 기법과 안정도 해석 (Fuzzy Modeling Technique of Nonlinear Dynamical System and Its Stability Analysis)

  • 소명옥;류길수;이준탁
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권2호
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    • pp.101-101
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    • 1996
  • This paper presents the linearized fuzzy modeling technique of nonlinear dynamical system and the stability analysis of fuzzy control system. Firstly, the nonlinear system is partitionized by multiple linear fuzzy subcontrol systems based on fuzzy linguistic variables and fuzzy rules. Secondly, the disturbance adaptaion controllers which guarantee the global asymptotic stability of each fuzzy subsystem by an optimal feedback control law are designed and the stability analysis procedures of the total fuzzy control system using Lyapunov functions and eigenvalues are discussed in detail through a given illustrative example.

비선형 시스템의 퍼지 모델링 기법과 안정도 해석 (Fuzzy Modeling Technique of Nonlinear Dynamic System and Its Stability Analysis)

  • 소명옥;류길수;이준탁
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권2호
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    • pp.33-39
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    • 1996
  • This paper presents the linearized fuzzy modeling technique of nonlinear dynamical system and the stability analysis of fuzzy control system. Firstly, the nonlinear system is partitionized by multiple linear fuzzy subcontrol systems based on fuzzy linguistic variables and fuzzy rules. Secondly, the disturbance adaptaion controllers which guarantee the global asymptotic stability of each fuzzy subsystem by an optimal feedback control law are designed and the stability analysis procedures of the total fuzzy control system using Lyapunov functions and eigenvalues are discussed in detail through a given illustrative example.

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실리콘 산화막에 대한 Ta-Mo 합금 게이트의 열적 안정성 (Thermal Stability of Ta-Mo Alloy Film on Silicon Dioxide)

  • 노영진;이충근;홍신남
    • 한국전기전자재료학회논문지
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    • 제17권4호
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    • pp.361-366
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    • 2004
  • The interface stability of Ta-Mo alloy film on SiO$_2$ was investigated. Ta-Mo alloy films were formed by co-sputtering method, and the alloy composition was varied by controlling Ta and Mo sputtering power, When the atomic composition of Ta was about 91%, the measured work function was 4.24 eV that is suitable for NMOS gate. To identify interface stability between Ta-Mo alloy film and SiO$_2$, C-V and XRD measurements were performed on the samples annealed with rapid thermal processor between $600^{\circ}C$ and 90$0^{\circ}C$. Even after 90$0^{\circ}C$ rapid thermal annealing, excellent interface stability and electrical properties were observed. Also, thermodynamic analysis was studied to compare with experimental results.

NFL-$H_{\infty}$/SMC 의 안정도 증명 : Part 4 (Stability Proof of NFL-$H_{\infty}$/SMC : Part 4)

  • 이상성;박종근;이주장
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 C
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    • pp.982-984
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    • 1998
  • In this paper, a stability proof of the closed-loop stability for the nonlinear feedback linearization-$H_\infty$/sliding mode controller (NFL-$H_\infty$/SMC) is done by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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NFL-$H_\infty$에 기준한 SMC의 안정도 증명 : Part 8 (Stability Proof of NFL-$H_\infty$-based SMC : Part 8)

  • 이상성;박종근;이주장
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 C
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    • pp.994-996
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    • 1998
  • In this paper, the standard Dole, Glover, Khargoneker, and Francis (abbr. : DGKF 1989) $H_{\infty}$ controller $(H_{\infty}C)$ is extended to the nonlinear feedback linearization-$H_\infty$-based sliding mode controller (NFL-$H_\infty$-based SMC). A stability proof of the closed-loop stability is done by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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주파수역 피드백시스템인식을 이용한 연속시간 제어기 설계 (Continuous-Time Controller Design using Identification of Feedback System in Frequency Domain)

  • 양호석;정유철;이건복
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.664-669
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    • 2001
  • Continuous-time controller design is proposed using feedback system identification in frequency domain. System stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Nyquist stability. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation and DC disturbance.

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ON BIFURCATION MODES AND FORCED RESPONSES IN COUPLED NONLINEAR OSCILLATORS

  • Pak, Chol-Hui;Shin, Hyeon-Jae
    • Journal of Theoretical and Applied Mechanics
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    • 제1권1호
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    • pp.29-67
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    • 1995
  • A procedure is formulated, in this paper, to compute the bifurcation modes born by the stability change of normal modes, and to compute the forced responses associated with bifurcation modes in inertially and elastically coupled nonlinear oscillators. It is assumed that a saddle-loop is formed in Poincare map at the stability chage of normal modes. In order to test the validity of procedure, it is applied to one-to-one internal resonant systems in which the solutions are guaranteed within the order of a small perturbation parameter. The procedure is also applied to the exact system in which normal modes are written in exact form and the stability of normal modes can be exactly determined. In this system the stability change of normal modes occurs several times so that various types of bifurcation modes are created. A method is described to identify a fixed point on Poincare map as one of bifurcation modes. The limitations and advantage of proposed procedure are discussed.

새로운 구조의 L-K함수를 이용한 시간 지연 선형시스템의 시간 종속 안정성 (Delay Dependent Stability of Time-delayed Linear Systems using New Structure of L-K Funciton)

  • 김진훈
    • 전기학회논문지
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    • 제62권2호
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    • pp.246-251
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    • 2013
  • In this paper, we consider the stability of linear systems without delay decomposition. A less conservative result obtained without delay decomposition is strongly required since it is a basis to get an improved result by applying simple delay decomposition. Unlike the most popular Lyapunov-Krasovski(L-K) function, we consider the cross terms between variables. Based on this new structure of L-K function, we derive a delay-dependent stability criterion in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results.

SOLUTIONS AND STABILITY OF TRIGONOMETRIC FUNCTIONAL EQUATIONS ON AN AMENABLE GROUP WITH AN INVOLUTIVE AUTOMORPHISM

  • Ajebbar, Omar;Elqorachi, Elhoucien
    • 대한수학회논문집
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    • 제34권1호
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    • pp.55-82
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    • 2019
  • Given ${\sigma}:G{\rightarrow}G$ an involutive automorphism of a semigroup G, we study the solutions and stability of the following functional equations $$f(x{\sigma}(y))=f(x)g(y)+g(x)f(y),\;x,y{\in}G,\\f(x{\sigma}(y))=f(x)f(y)-g(x)g(y),\;x,y{\in}G$$ and $$f(x{\sigma}(y))=f(x)g(y)-g(x)f(y),\;x,y{\in}G$$, from the theory of trigonometric functional equations. (1) We determine the solutions when G is a semigroup generated by its squares. (2) We obtain the stability results for these equations, when G is an amenable group.