• Title/Summary/Keyword: Stability constraint

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Exponential Stability and Feasibility of Receding Horizon Control for Constrained Systems (구속조건이 있는 시스템에 대한 이동구간제어기의 지수 안정성과 실현 가능성)

  • Jae-Won Lee;Wook Hyun Kwon
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.567-573
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    • 1998
  • 본 논문에서는 입력과 상태변수에 hard constraint가 있는 이산시간 시스템에 대한 새로운 이동구간 제어기를 제안한다. 제안된 이동구간제어기가 terminal ellipsoid constraint를 이용하여 지수 안정성(exponential stability)을 보장함을 보인다. Feasibility를 증가시키기 위하여 시스템을 안정 모드와 불안정 모드로 바꾸는 방법, constraint를 완화하는 방법을 제안한다. Constraint를 완화할 때 constraint를 만족시키지 못하는 부분의 성능을 개선시키는 방법을 제안하고 예제를 통해서 몇 가지 제안한 방법들을 비교한다.

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A Study on the Application of Adaptive Control Constraint to Maintain Constant Cutting force in Turning (선삭에서 일정 절삭력 유지를 위한 구속 적응제어에 관한 연구)

  • 김인수;황홍연;김광준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.376-382
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    • 1986
  • Adaptive control constraint (ACC) is applied to a turning process to keep the cutting force constant while the cutting conditions vary. In this system, a given reference force is compared with the measured cutting force and difference is input to the controller to adjust the feed. Since it is found that the effective ACC loop gain depends on both depth-of-cut and spindle speed and thereby influence the system stability, a simple computer algorithm is built in the controller to maintain the stability of the whole system by on-line estimation of the process parameters during cutting.

Stability of Slotted Aloha with Selfish Users under Delay Constraint

  • Chin, Chang-Ho;Kim, Jeong-Geun;Lee, Deok-Joo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.5 no.3
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    • pp.542-559
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    • 2011
  • Most game-theoretic works of Aloha have emphasized investigating Nash equilibria according to the system state represented by the number of network users and their decisions. In contrast, we focus on the possible change of nodes' utility state represented by delay constraint and decreasing utility over time. These foregone changes of nodes' state are more likely to instigate selfish behaviors in networking environments. For such environment, in this paper, we propose a repeated Bayesian slotted Aloha game model to analyze the selfish behavior of impatient users. We prove the existence of Nash equilibrium mathematically and empirically. The proposed model enables any type of transmission probability sequence to achieve Nash equilibrium without degrading its optimal throughput. Those Nash equilibria can be used as a solution concept to thwart the selfish behaviors of nodes and ensure the system stability.

Issues Involved In The Study Of The Voltage Stability of A Power System Network Modeled By DAE

  • Lee, Byong-Jun;Song, Kil-Yeong;Kwon, Sae-Hyuk
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.6-8
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    • 1994
  • In this paper an attempt is made to understand the voltage stability when the power system networks are represented by the differential-algebraic equations (DAEs) form. The problem is analyzed by interpreting the shape of constraint manifold, based on the singular perturbation model. The global picture or constraint manifold is given to show how the local shape or constraint manifold can be used to guess for the system behavior. The gradient analysis is used systematically to obtain a local shape or the constraint manifold.

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Voltage Stability Constrained Optimal Power Flow based on Successive Linear Programming (전압안정도를 고려한 연속선형계획법 기반 최적조류계산)

  • Bae, Seung-Chul;Shin, Yong-Son;Lee, Byong-Jun
    • Proceedings of the KIEE Conference
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    • 2003.11a
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    • pp.220-223
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    • 2003
  • This paper presents VSCOPF(Votage Stability Constrained Optimal Power Flow) algorithm based on SLP(Successive Linear Programming) to interpret the large scale system. Voltage stability index used to this paper is L index to be presented by function form. The objective function consists of load shedding cost minimization. Voltage stability indicator constraint was incorporated in traditional OPF formulation. as well as the objective function and constraints are linearlized and the optimal problem is performed by SLP(Successive Linear Programming). In this paper, the effect of voltage stability limit constraint is showed in the optimal load curtailment problems. As a result, an optimal solution is calculated to minimize load shedding cost guaranteeing voltage security level. Numerical examples using IEEE 39-bus system is also presented to illustrate the capabilities of the proposed formulation.

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The Influence of the constraint condition on the Roller-rig (주행시험대 구속조건에 따른 영향 분석)

  • Kim, Nam-Po;Park, Joon-Hyuk
    • Proceedings of the KSR Conference
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    • 2011.05a
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    • pp.1074-1079
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    • 2011
  • This paper describes the influence on the nonlinear critical speed results of a specific railway vehicle depending on various constraint conditions. In the roller-rig tests, proper constraints are inevitable to safely hold the test vehicles. Particularly, the test results using KRRI roller-rig are more sensitive to constraint conditions because it is a kind of semi-full car type. In this study, nonlinear critical speed of specific vehicle with regards to several constraint cases were predicted by computational analysis and these results were compared to find the suitable constraint conditions. And also the deviation of semi-full car model from actual full car model was investigated. According to the bifurcation analysis, the nonlinear critical speed are dependent with the constraint condition and car-body yaw motion should be free to achieve more accurate results. And the difference between semi-full and full car model was so small that KRRI's semi-full car model are valid as long as the stability is concerned.

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Robust Predictive Feedback Control for Constrained Systems

  • Giovanini, Leonardo;Grimble, Michael
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.407-422
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    • 2004
  • A new method for the design of predictive controllers for SISO systems is presented. The proposed technique allows uncertainties and constraints to be concluded in the design of the control law. The goal is to design, at each sample instant, a predictive feedback control law that minimizes a performance measure and guarantees of constraints are satisfied for a set of models that describes the system to be controlled. The predictive controller consists of a finite horizon parametric-optimization problem with an additional constraint over the manipulated variable behavior. This is an end-constraint based approach that ensures the exponential stability of the closed-loop system. The inclusion of this additional constraint, in the on-line optimization algorithm, enables robust stability properties to be demonstrated for the closed-loop system. This is the case even though constraints and disturbances are present. Finally, simulation results are presented using a nonlinear continuous stirred tank reactor model.

A CONSTRAINED CONVEX SPLITTING SCHEME FOR THE VECTOR-VALUED CAHN-HILLIARD EQUATION

  • LEE, HYUN GEUN;LEE, JUNE-YUB;SHIN, JAEMIN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.23 no.1
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    • pp.1-18
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    • 2019
  • In contrast to the well-developed convex splitting schemes for gradient flows of two-component system, there were few efforts on applying the convex splitting idea to gradient flows of multi-component system, such as the vector-valued Cahn-Hilliard (vCH) equation. In the case of the vCH equation, one need to consider not only the convex splitting idea but also a specific method to manage the partition of unity constraint to design an unconditionally energy stable scheme. In this paper, we propose a constrained Convex Splitting (cCS) scheme for the vCH equation, which is based on a convex splitting of the energy functional for the vCH equation under the constraint. We show analytically that the cCS scheme is mass conserving and unconditionally uniquely solvable. And it satisfies the constraint at the next time level for any time step thus is unconditionally energy stable. Numerical experiments are presented demonstrating the accuracy, energy stability, and efficiency of the proposed cCS scheme.

A Dynamic Anti-windup Scheme for Input-constrained Feedback Linearizable Nonlinear Systems (궤환선형화 가능한 비선형 시스템의 입력제한을 고려한 동적 와인드엎 방지)

  • 윤성식;박종구;윤태웅
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.534-534
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    • 2000
  • This paper proposes a dynamic compensation scheme for input-constrained feedback linearizable nonlinear systems to cope with the windup phenomenon. Given a feedback linearizing controller for such a nonlinear system designed without considering its input constraint, an additional dynamic compensator is proposed to account for the constraint. This dynamic anti-windup is based on the minimization of a reasonable performance index, and some stability properties of the resulting closed-loop are presented.

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A Study on Design Constraints of a Supercavitating Underwater Vehicle (초공동 수중운동체의 설계 제약조건에 관한 연구)

  • Kim, Seonhong;Kim, Nakwan
    • Journal of the Society of Naval Architects of Korea
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    • v.53 no.1
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    • pp.54-61
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    • 2016
  • This paper defines the design constraint in consideration of the dynamic characteristics and stability in the longitudinal direction of a supercavitating vehicle. Available range of the design variables is calculated by numerical simulation and the cavity modeling of vehicle dynamics is performed first. Configuration parameters of the supercavitating vehicle to determine the vehicle dynamics and characteristics of the cavity are defined as design variables. Design constraints are supercavitation, trim velocity, stability and vehicle dynamics in transition phase. Numerical results show that in accordance with the change of the design variables, the proposed design constraints reflect the physical characteristics of the supercavitating vehicle. This research finds the design region where the constraints of supercavity and the trim velocity are satisfied, and the stability analysis refines the design results by excluding the region where the stability is not guaranteed. The stability analysis is particularly important for a vehicle with the short fin span.