• 제목/요약/키워드: Lyapunov analysis

검색결과 352건 처리시간 0.026초

Electricity Cost Minimization for Delay-tolerant Basestation Powered by Heterogeneous Energy Source

  • Deng, Qingyong;Li, Xueming;Li, Zhetao;Liu, Anfeng;Choi, Young-june
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제11권12호
    • /
    • pp.5712-5728
    • /
    • 2017
  • Recently, there are many studies, that considering green wireless cellular networks, have taken the energy consumption of the base station (BS) into consideration. In this work, we first introduce an energy consumption model of multi-mode sharing BS powered by multiple energy sources including renewable energy, local storage and power grid. Then communication load requests of the BS are transformed to energy demand queues, and battery energy level and worst-case delay constraints are considered into the virtual queue to ensure the network QoS when our objective is to minimize the long term electricity cost of BSs. Lyapunov optimization method is applied to work out the optimization objective without knowing the future information of the communication load, real-time electricity market price and renewable energy availability. Finally, linear programming is used, and the corresponding energy efficient scheduling policy is obtained. The performance analysis of our proposed online algorithm based on real-world traces demonstrates that it can greatly reduce one day's electricity cost of individual BS.

리아프노프 함수에 기초한 과학기술위성 2호 펄스형 플라즈마 전기추력기의 동작 안정성 연구 (On Stability of the Pulsed Plasma Thruster for STSAT-2 based on the Lyapunov Function)

  • 신구환;남명용;강경인;임종태;차원호
    • 한국항공우주학회지
    • /
    • 제34권1호
    • /
    • pp.95-102
    • /
    • 2006
  • 펄스형 플라즈마 전기추력기의 설계기술과 제어기법에 있어서는 과거의 기술에 비하여 많은 도약을 하였다. 그리고, 펄스형 플라즈마 전기추력기의 충전된 전기에너지는 추력기 구동시 중요한 비중을 차지함을 알 수 있다. 펄스형 플라즈마 전기추력기는 매 분사시 축전기에 충전된 전기에너지를 방전시켜 분사 시키므로서 추력을 얻는 장치이다. 따라서, 매 분사시 균일한 추력을 얻고자 할 경우에는 동작시점에서 균일한 전기 에너지가 충전되어 있어야 한다. 따라서, 본 논문에서는 매 분사시 균일한 추력을 얻기 위한 기법과 축전기와 추력기 엔진간의 기하학적 연결에 따른 안정성을 연구하였다.

Bonhoeffer - van der Pol 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어 (The study of Controlling chaos for Bonhoeffer-van der Pol oscillation model by small parameter perturbation)

  • 배영철;고재호;임화영
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1995년도 하계학술대회 논문집 B
    • /
    • pp.817-819
    • /
    • 1995
  • Applied by periodic Stimulating Currents in Bonhoeffer-Van der Pol(BVP) model, chaotic and periodic phenomena occured at specific conditions. The conditions of the chaotic motion in BVP comprised 0.7182< $A_{1}$ <0.792 and 1.09< $A_{1}$ <1.302 proved by the analysis of phase plane, bifurcation diagram, and lyapunov exponent. To control the chaotic motion, two methods were suggested by the first used the amplitude parameter $A_{1}$,$A_{1}={\varepsilon}((x-x_{s})-(y-y_{s}))$ and the second used the temperature parameter c, c=c$(1+ {\eta}cos{\Omega}t)$ which the values of $\eta$, ${\Omega}$ varied respectlvly, and $x_{s}$, $y_{s}$ are the periodic signal. As a result of simulating these methods, the chaotic phenomena was controlled with the periodic motion of periodisity. The feasibilities of the chaotic and the periodic phenomena were analysed by phase plane and lyapunov exponent.

  • PDF

State-Space Analysis on The Stability of Limit Cycle Predicted by Harmonic Balance

  • Lee, Byung-Jin;Yun, Suk-Chang;Kim, Chang-Joo;Park, Jung-Keun;Sung, Sang-Kyung
    • Journal of Electrical Engineering and Technology
    • /
    • 제6권5호
    • /
    • pp.697-705
    • /
    • 2011
  • In this paper, a closed-loop system constructed with a linear plant and nonlinearity in the feedback connection is considered to argue against its planar orbital stability. Through a state space approach, a main result that presents a sufficient stability criterion of the limit cycle predicted by solving the harmonic balance equation is given. Preliminarily, the harmonic balance of the nonlinear feedback loop is assumed to have a solution that determines the characteristics of the limit cycle. Using a state-space approach, the nonlinear loop equation is reformulated into a linear perturbed model through the introduction of a residual operator. By considering a series of transformations, such as a modified eigenstructure decomposition, periodic averaging, change of variables, and coordinate transformation, the stability of the limit cycle can be simply tested via a scalar function and matrix. Finally, the stability criterion is addressed by constructing a composite Lyapunov function of the transformed system.

유도전동기 센서리스 벡터제어를 위한 적응슬라이딩모드 제어기 (Sensorless Vector Control for IM Adaptive Sliding Mode Controller)

  • 김영춘;조문택;주해종
    • 한국산학기술학회논문지
    • /
    • 제12권11호
    • /
    • pp.5143-5149
    • /
    • 2011
  • 본 논문은 슬라이딩 모드 관측기를 이용한 적응 속도 센서리스 벡터제어에 대해 제안한다. 적응 슬라이딩 모드 관측기는 전압식을 이용한 전동기 고정자 기준좌표에 의해 회전자 자속성분이 관측된다. Lyapunov 함수에 의해 얻어지는 추가적인 관계로부터 전동기의 속도가 구해진다. 성능 확인을 위해 전통적인 PI 제어기와 슬라이딩 모드 관측기의 추가적인 특성에 대해 시뮬레이션과 실험을 통해 비교하였다. 분석과 비교에 의한 결과에 의하면 시스템의 유용성을 확인할 수 있었다.

청각자극의 반송 주파수에 따른 뇌전위 신호의 해석 (The Analysis of EEG Signal Responding to the Pure Tone Auditory Stimulus)

  • 최정미;배병훈;김수용
    • 대한의용생체공학회:의공학회지
    • /
    • 제15권4호
    • /
    • pp.383-388
    • /
    • 1994
  • 일정한 단속 주파수(triggering frequency)를 지닌 청각자극의 반송 주파수(carrier ferquency, pure tone)를 1kHz에서 3kHz까지 0.5kHz단위로 증가시키면서, 이에 반응하는 뇌전위를 디지탈 EEG측정장치를 이용하여 총 7초 동안 1kHz의 sampling frequency로 컴퓨터로 전송하였다. 먼저 신호의 pseudo-phase space분석을 통해 뇌전위의 진폭특성을 파악하였다. 이러한 해석은 생리학적으로 밝져진 소리의 반송주파수와 소리의 크기 인지사이의 상관관계와 잘 일치함이 확인되었다. 또한 이 신호외 Lyapunov exponent 분석을 통해 신호의 발산 특성을 물리적으로 파악하고, 이러한 특성을 이미 여러가지 접근법에 의해 밝혀져 있는 생리학적 실험결과와 관련지어 해석함으로써 반송 주파수에 반응하는 뇌의 mechanism을 뇌전위 측정에 의해서 검출이 가능함을 확인할 수 있었다.

  • PDF

CONE VALUED LYAPUNOV TYPE STABILITY ANALYSIS OF NONLINEAR EQUATIONS

  • Chang, Sung-Kag;Oh, Young-Sun;An, Jeong-Hyang
    • 대한수학회지
    • /
    • 제37권5호
    • /
    • pp.835-847
    • /
    • 2000
  • We investigate various ${\Phi}$(t)-stability of comparison differential equations and we obtain necessary and/or sufficient conditions for the asymptotic and uniform asymptotic stability of the differential equations x'=f(t, x).

  • PDF

혼돈 비선형 시스템을 위한 안정된 퍼지 제어기의 설계 (The Design of Stable Fuzzy Controller for Chaotic Nonlinear Systems)

  • 최종태;박진배최윤호
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 1998년도 추계종합학술대회 논문집
    • /
    • pp.429-432
    • /
    • 1998
  • This paper is to design stable fuzzy controller so as to control chaotic nonlinear systems effectively via fuzzy control system and Parallel Distributed Compensation (PDC) design. To design fuzzy control system, nonlinear systems are represented by Takagi-sugeno(TS) fuzzy models. The PDC is employed to design fuzzy controllers from the TS fuzzy models. The stability analysis and control design problems is to find a common Lyapunov function for a set of linear matrix inequalitys(LMIs). The designed fuzzy controller is applied to Rossler system. The simulation results show the effectiveness of our controller.

  • PDF

NEW RESULT CONCERNING MEAN SQUARE EXPONENTIAL STABILITY OF UNCERTAIN STOCHASTIC DELAYED HOPFIELD NEURAL NETWORKS

  • Bai, Chuanzhi
    • 대한수학회보
    • /
    • 제48권4호
    • /
    • pp.725-736
    • /
    • 2011
  • By using the Lyapunov functional method, stochastic analysis, and LMI (linear matrix inequality) approach, the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.

수렴속도 향상을 갖는 로보트 매니퓰레이터의 슬라이딩모드 제어 (Sliding Mode Control of Robot Manipulators with Improvement of Convergence Rate)

  • 박세승;박종국
    • 대한전기학회논문지
    • /
    • 제40권3호
    • /
    • pp.316-325
    • /
    • 1991
  • This paper presents the design of a new sliding mode controller to improve the rate of convergence by Lyapunov's stability analysis. The proposed controller shows that the elimination of the steady state position errors can be achieved by replacing the desired trajectory by the virtual reference trajectory. The proposed control scheme which consists of the upper bounded and estimated values of eac term of the manipulator dynamic equation does not require good knowledge of the parameters and the computation of matrix inversion. The performance of proposed controller is evaluated by the simulation for a two-link manipulator.

  • PDF