• Title/Summary/Keyword: Stability margins

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Absolute Stability Margins in Missile Guidance Loop

  • Kim, Jong-Ju;Lyou, Joon
    • International Journal of Control, Automation, and Systems
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    • v.6 no.3
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    • pp.460-466
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    • 2008
  • This paper deals with the stability analysis of a missile guidance loop employing an integrated proportional navigation guidance law. The missile guidance loop is formulated as a closed-loop control system consisting of a linear time-invariant feed-forward block and a time-varying feedback gain. Based on the circle criterion, we have defined the concept of absolute stability margins and obtained the gain and phase margins for the system assuming 1 st order missile/autopilot dynamics. The correlation between the absolute stability margins and the margins derived from the frozen system analysis is also discussed.

Guaranteed Stability Margins of the Discrete-Time LQ Optimal Regulator for a Performance Index with Cross-Product Terms

  • Fang, Tae-Hyun;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.107.4-107
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    • 2001
  • In this paper, the guaranteed stability margins of LQ optimal regulators for a performance index with cross-product terms are suggested in the discrete-time case. An example for the LQ optimal regulator of an inverted pendulum system is given to demonstrate the validity of the suggested stability margins.

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On the improvement of the guaranteed stability margins for the discrete time LQ regulator

  • Kwon, Wook-Hyun;Kim, Sang-Woo;Choi, Han-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.913-917
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    • 1989
  • In this paper, the selection method of weighting matrices in the discrete-time LQ problem are suggested in order to improve the guaranteed stability margins, i.e. the gain and phase margins. The asymptotic properties of the solution of the algebraic Riccati equations are investigated by using the closed form solution of the difference Riccati equations. It is shown that the solution of the algebraic Riccati equations monotonically increases as the state weighting matrix Q or the control weighting matrix R increase. The increasing rate of the solution is shown to be much less than that of R for large R. It is also proven that the guaranteed stability margins increases as the ratio between Q and R decreases.

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Static Stability Analysis for Gait Control of a Quardruped Walking Robot (사각보행로보트의 걸음새 제어를 위한 정적 안정도 해석)

  • 임준홍;서일홍;임미섭
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.12
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    • pp.1014-1021
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    • 1989
  • The problem of controlling static gaits for a quadruped walking robot is investigated. A theoretical approach to gait study is proposed in which the static stability margins for periodic gaits are expressed in terms of the kinematic gait formula. The effects fo the stride length on static stability are analyzed and the relations between static stability and initial body configurations are examined. It is shown that the moving velocity can be increased to some extent without affecting stability margins for a given initial body configuration. Computer simulations are performed to verify the analysis.

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Designing Fault-Tolerant Gaits for Quadruped Robots Using Energy Stability Margins (에너지 안정여유도를 이용한 사족 보행 로봇의 내고장성 걸음새)

  • Yang, Jung-Min
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.7
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    • pp.319-326
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    • 2006
  • This paper proposes a novel fault-tolerant gait for Quadruped robots using energy stability margins. The previously developed fault-tolerant gaits for quadruped robots have a drawback of having marginal stability margin, which may lead to tumbling. In the process of tumbling, the potential energy of the center of gravity goes through a maximum. The larger the difference between the potential energy of the center of gravity of the initial position and that of this maximum, the less the robot tumbles. Hence this difference of potential energy, dubbed as Energy Stability Margin (ESM), can be regarded as the stability margin. In this paper, a novel fault-tolerant gait is presented which gives positive ESM to a quadruped robot suffering from a locked joint failure. Positive ESM is obtained by adjusting foot positions between leg swing sequences. The advantage of the proposed fault-tolerant gait is demonstrated in a case study where a quadruped robot with a failed leg walks on a even slope.

Computation of robustness margins in multivariable LQG/LTR design when the plant is scalled (다변수 LQG/LTR 설계에서 스케일링 행렬에 의한 강인성 여유 계산)

  • 강진식
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.491-497
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    • 1993
  • In MIMO design, input and output units are different from each other. By this reason, the effect of larger units to smaller one is not trivial and there is no method of proper scaling, optimal scaling. In this paper, robust stability of MIMO LQG/LTR design are analised when the plnat inputs and outputs are scalled. The upper bound of model error to guarantee the robust stability is obtained, and gain margin and phase margins are computed with respect to scalling matrices.

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LQG/LTR methods for systems with input delay (입력에 시간지연이 있는 시스템에 대한 LQG/LTR 기법)

  • 권욱현;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.356-361
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    • 1986
  • This paper presents robustness properties of LQ regulators for input-delayed systems. Using frequency-domain representations, the Kalman inequality concerning the return-difference matrix is derived. The stability margins of LQ regulators are investigated using the Kalman inequality when the open-loop system is stable. In order to obtain stability margins a upper bound of the solution of LQ Riccati equations is derived. Finally, the LQG/LTR method to improve the robustness of LQG regulators is obtained and illustrated with an example.

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Reactive Reserve Based Contingency Constrained Optimal Power Flow for Enhancement of Voltage Stability Margins (전압안정도 여유 향상을 위한 무효예비력 기반 상정사고 제약 최적조류계산)

  • Song, Hwa-Chang;Lee, Byong-Jun;Kwon, Sae-Hyuk;Ajjarapu, Venkataramana
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.19-23
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    • 2003
  • This paper presents a new concept of reactive reserve based contingency constrained optimal power flow (RCCOPF) for voltage stability enhancement. This concept is based on the fact that increase in reactive reserves is effective for enhancement of voltage stability margins of post-contingent states, in this paper, the proposed algorithm is applied to voltage stability margin of interface flow. Interface flow limit, in the open access environment, can be a main drawback. RCCOPF for enhancement of interface flow margin is composed of two modules, modified continuation power flow (MCPF) and optimal power flow (OPF). These modules art recursively perform ed until satisfying the required margin of interface flow in the given voltage stability criteria.

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Practical Applications of Reactive Power and Voltage Planning In Korea Power System (우리나라 계통에서의 무효전력 수급현황 및 전압특성 분석)

  • Lee, Joo-Ho;Jung, Eung-Soo
    • Proceedings of the KIEE Conference
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    • 2004.11b
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    • pp.158-161
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    • 2004
  • This paper presents practical applications of reactive power and voltage planning to obtain voltage stability and operational voltage level for 2005 year summer peak Korea power system. It also describes the new electric facilities, operation criteria, voltage levels, MVAr flows, reactive power reserves in each control area. And reactive compensation devices are installed to maintain established voltage levels and stability margins. This simulation results show the improvement of voltage levels and the increase of reactive margins & interface flow margins. Finally, the paper reports the necessity of dynamic reactive reserves. It can be applied to analysis reactive compensation requirements and P-V & V-Q curves by PSS/E & VSAT.

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gnetic Fields With Hysteresis Characteristics (히스테리시스 특성을 고려한 자계의 유한 요소 해석)

  • Jung, Hoon;Hong, Sun-Ki;Won, Jong-Soo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.12
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    • pp.1033-1047
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    • 1989
  • A finite element method for the analysis of magnetic fields with hysteresis characteristics is proposed. The method employs Preisach model to describe hysteresis of magnetic material, so that even multi-branch or minor-loop characteristics can be taken into account. The problem can be considered as the analysis of a nonlinear equation where magnetization depends not only on the present value of the magnetic field but also on the past values, and the problem can be solved by the iteration method. Measurements were carried out on soft ferrite EI core for the comparison with computer solution, and good agreements were obtained. is investigated. A theoretical approach to gait study is proposed in which the static stability margins for periodic gaits are expressed in terms of the kinematic gait formula. The effects fo the stride length on static stability are analyzed and the relations between static stability and initial body configurations are examined. It is shown that the moving velocity can be increased to some extent without affecting stability margins for a given initial body configuration. Computer simulations are performed to verify the analysis.

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