• 제목/요약/키워드: discrete control variables

검색결과 82건 처리시간 0.027초

S-procedure를 이용한 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 $H_\infty$ 제어기 설계 ($H_\infty$ Controller Design for Discrete-time Linear Systems with Time-varying Delays in States using S-procedure)

  • Kim, Ki-Tae;Cho, Sang-Hyun;Park, Hong-Bae
    • 전자공학회논문지SC
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    • 제39권2호
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    • pp.95-103
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    • 2002
  • 본 논문에서는 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 H/sub ∞/ 제어기 설계문제를 다룬다. H/sub ∞/ 제어기가 존재할 충분조건과 설계방법에 대해 논의한다. 본 논문에서 다루는 H/sub ∞/ 제어기법은 상태궤환 제어기로서 시변 시간지연의 상한값과 S-procedure를 이용한다. 또한, 변수 치환, Schur 여수정리 등을 이용하여 충분조건을 모든 변수에 대한 선행 행렬 부등식(linear matrix inequality)으로 표현한다.

유연관절을 갖고 있는 로보트를 위한 LQ 컴퓨터 제어의 강인성과 최적성에 관한 연구 (A study on the robustness and optimality of a LQ computer control for a manipulator with flexible joints)

  • 김진화;김진걸
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.149-154
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    • 1990
  • In this paper, simulation results of a robust digital tracking controller on a robotic manipulator are presented. The objective is to follow a ramp reference input with zero steady state error in the presence of a disturbance and system parameter variations. Some of the difficulties are caused by the Coulomb frictions, the disturbance due to the gravitational pull, the spring effect of a link between the drive motor and the manipulator arm. Another difficulty is that, because of the non-differentiable Coulomb friction, the digital control system cannot be represented as a discrete system. It is thus necessary to design the controller based on a discrete-continuous hybrid model. The controller is based on feeding back the state variables and augmenting the system by addition discrete integrators. The feedback gain parameters are obtained by applying the quadratic optimal control theory and then choosing the new weighting matrices to eliminate the limit cycle by using the describing function method for hybrid system.

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Development of Continuous/Discrete Mixed $H_2$/H$\infty$ Filtering Design Algorithms for Time Delay Systems

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권3호
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    • pp.163-168
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    • 2000
  • The problems of mixed $H_2/H_{\infty}$ filtering design fer continuous and discrete time linear systems with time delay are investigated. The main purpose is to design a stable mixed $H_2/H_{\infty}$ filter which minimizes the H$_2$Performance measure satisfying a prescribed H$_{\infty}$ norm bound on the closed loop system in continuous-time case and discrete-time case, respectively. The sufficient conditions of existence of filter, the mixed $H_2/H_{\infty}$ filter design method, and the upper bound of performance measure are proposed by LMI(linear matrix inequality) techniques in terms of all finding variables. Also, we present optimization problems in order to get the optimal mixed $H_2/H_{\infty}$ filter in continuous and discrete time case, respectively.

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A Discrete State-Space Control Scheme for Dynamic Voltage Restorers

  • Lei, He;Lin, Xin-Chun;Xue, Ming-Yu;Kang, Yong
    • Journal of Power Electronics
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    • 제13권3호
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    • pp.400-408
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    • 2013
  • This paper presents a discrete state-space controller using state feedback control and feed-forward decoupling to provide a desirable control bandwidth and control stability for dynamic voltage restorers (DVR). The paper initially discusses three typical applications of a DVR. The load-side capacitor DVR topology is preferred because of its better filtering capability. The proposed DVR controller offers almost full controllability because of the multi-feedback of state variables, including one-beat delay feedback. Feed-forward decoupling is usually employed to prevent disturbances of the load current and source voltage. Directly obtaining the feed-forward paths of the load current and source voltage in the discrete domain is a complicated process. Fortunately, the full feed-forward decoupling strategy can be easily applied to the discrete state-space controller by means of continuous transformation. Simulation and experimental results from a digital signal processor-based system are included to support theoretical analysis.

Zero Moment Point를 이용한 이족 보행 로봇의 경사로 걸음새 제어에 관한 연구 (Gait Control on Slope Way using Zero Moment Point for Robot)

  • 엄승현;임미섭;임준홍
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
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    • pp.530-532
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    • 2006
  • In this paper, we propose stable walking algorithm using ZMP for the biped robot in the slope-way. At first, we define discrete state variables that classified stable area and unstable area by center of mass from ZMP during slope-way walking. For the stable walking gait, the discrete state controller for determining the high-level and low-level decision making are designed. The high-level decision making is composed of the discrete state variables; left foot support phase, right foot support phase, flat-way, and slope-way. Then the continuous state controller is implemented for the low-level decision making using ZMP.

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A Quantitative Model of System-Man Interaction Based on Discrete Function Theory

  • Kim, Man-Cheol;Seong, Poong-Hyun
    • Nuclear Engineering and Technology
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    • 제36권5호
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    • pp.430-449
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    • 2004
  • A quantitative model for a control system that integrates human operators, systems, and their interactions is developed based on discrete functions. After identifying the major entities and the key factors that are important to each entity in the control system, a quantitative analysis to estimate the recovery failure probability from an abnormal state is performed. A numerical analysis based on assumed values of related variables shows that this model produces reasonable results. The concept of 'relative sensitivity' is introduced to identify the major factors affecting the reliability of the control system. The analysis shows that the hardware factor and the design factor of the instrumentation system have the highest relative sensitivities in this model. T도 probability of human operators performing incorrect actions, along with factors related to human operators, are also found to have high relative sensitivities. This model is applied to an analysis of the TMI-2 nuclear power plant accident and systematically explains how the accident took place.

준 슬라이딩 모드 제어 기법을 이용한 모델 추종 비행제어 시스템 설계 (Model Following flight Control System Design)

  • 최동균;김신;김종환
    • 제어로봇시스템학회논문지
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    • 제6권12호
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    • pp.1133-1145
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    • 2000
  • In this paper a model following flight control system design using the discrete time quasi-sliding mode control method is described. The quasi-sliding mode is represented as the sliding mode band, not as the sliding surface. The quasi-sliding mode control is composed of the equivalent control for the nominal system without uncertainties and disturbances and the additive control compensating the uncertainties and disturbances. The linearized plant on the equilibrium point is used in designing a flight control system and the stability conditions are proposed for the model uncertainties. Pseudo-state feedback control which uses the model variables for the unmeasured states is proposed. The proposed method is applied to the design of the roll attitude and pitch load factor control of a bank-to-turn missile. The performance is verified through the nonlinear six degrees of freedom flight simulation.

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H$\infty$ State Feedback Control for Generalized Continuous/Discrete Time Delay System

  • Kim, Jong-Hae;Jeung, Eun-Tae;Lee, Sang-Kyung;Park, Hong-Bae
    • Journal of Electrical Engineering and information Science
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    • 제3권2호
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    • pp.163-169
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    • 1998
  • In this paper, we consider the problem of designing H$\infty$ state feedback controller for the generalized time systems with delayed states and control inputs in continuous and discrete time cases, respectively. The generalized time delay system problems are solved on the basis of LMI(linear matrix inequality) technique considering time delays. The sufficient condition for the existence of controller and H$\infty$ state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be rewritten as a LMI form in terms of transformed variables. The propose controller design method can be extended into the problem of robust H$\infty$ state feedback controller design method easily.

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Robust Reliable H$\infty$ a Control of Continuous/Discrete Uncertain Time Delay Systems using LMI

  • Kim, Jong-Hae;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권2호
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    • pp.121-127
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    • 1999
  • In this paper, we present robust reliable H$\infty$ controller design methods of continuous and discrete uncertain time delay systems using LMI (linear matrix inequality) technique, respectively. Also the existence conditions of state feedback control are proposed . Using some changes of variables and Schur complements, the obtained sufficient conditions are transformed into an LMI form. The closed loop system by the obtained controller is quadratically stable with H$\infty$ norm bound for all admissible uncertainties, time delay, and all actuator failures occurred within the prespecified set. We show the validity of the proposed method through numerical example.

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시간지연이 있는 대규모 이산시간 시스템의 계층적 상태궤환제어 (Hierarchical State Feedback Control of Large-Scale Discrete-Time Systems with Time-Delays)

  • 김경연;전기준
    • 대한전자공학회논문지
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    • 제26권8호
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    • pp.1161-1166
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    • 1989
  • In this paper, a hierarchical state feedback control method is proposed for the optimal tracking of large-scale discrete-time systems with time-delays. The state feedback gain matrix and the compensation vector are computed from the optimal trajectories of the state variables and control inputs obtained hierarchically by the open-loop control method based on the interaction prediction method. The resulting feedback gain matrix and the compensation vector are optimal for the given initial condition. Computer simulation results show that the proposed method has better control performance and fewer second level iterations than the Tamura method.

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