• 제목/요약/키워드: discrete-time control design

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파라미터 불확실성을 가지는 연속/이산 특이시스템의 견실 $Η_2$ 제어 (Robust $H_$ Control of Continuous and Discrete Time Descriptor Systems with Parameter Uncertainties)

  • 이종하;김종해;박홍배
    • 전자공학회논문지SC
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    • 제40권4호
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    • pp.251-263
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    • 2003
  • 본 논문에서는 연속시간과 이산시간에서 파라미터 불확실성을 가지는 선형 시불변 특이시스템에 대한 Η₂제어기 존재조건과 설계방법을 행렬부등식으로 제안한다. 먼저, 연속시간의 경우에는 Η₂제어기가 존재하기 위한 필요충분조건과 설계방법을 선형행렬부등식(linear matrix inequality)으로 제시하고, 이산시간의 경우에는 Η₂제어기가 존재하기 위한 충분조건과 설계방법을 행렬부등식으로 제시한다. 마지막으로 연속시간과 이산시간 각각의 경우에서, 파라미터 불확실성을 고려하여 제시한 조건들을 견실 Η₂제어문제로 확장하고, 간단한 예제를 통해 제시한 조건의 타당성을 검토해 본다.

이산시간 불확실 특이시스템의 유한시간 강인 산일성 상태궤환 제어기 설계 (Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems)

  • 김종해;오도창
    • 전기학회논문지
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    • 제64권11호
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    • pp.1598-1604
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    • 2015
  • In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for finite-time stability of discrete-time singular systems is derived. A finite-time dissipative state feedback controller design method satisfying finite-time stability and dissipativity is proposed by LMI(linear matrix inequality) technique on the basis of the obtained BRL. Moreover it is shown that the obtained condition can be extended into polytopic uncertain systems by proper manipulations. Finally, illustrative examples are given to show the applicability of the proposed method.

두개의 시간스케일 추계 이산시간 시스템의 다중표본화 복합제어기 (Multirate and Composite Control of Two-Time-Scale Stochastic Discrete-Time Systems)

  • 박종옥;홍재근;김수중
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(II)
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    • pp.1225-1228
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    • 1987
  • It is shown that the singularly perturbed continuous-time system is led to two different discrete versions according to slow or fast sampling rates. The design of stabilizing feedback control of singularly perturbed discrete-time stochastic system is decomposed into the design of slow and fast controllers, which is combined to form the composite control. Composite control law is derived for the case of both single rate measurement and multirate measurement.

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Takagi-Sugeno Model-Based Non-Fragile Guaranteed Cost Control for Uncertain Discrete-Time Systems with State Delay

  • Fang, Xiaosheng;Wang, Jingcheng;Zhang, Bin
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권2호
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    • pp.151-157
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    • 2008
  • A non-fragile guaranteed cost control (GCC) problem is presented for a class of discrete time-delay nonlinear systems described by Takagi-Sugeno (T-S) fuzzy model. The systems are assumed to have norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gains. Sufficient conditions are first obtained which guarantee that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound. Then the design method of the non-fragile guaranteed cost controller is formulated in terms of the linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed design method.

이산시간 퍼지-슬라이딩모드를 이용한 스마트구조물의 강건진동제어 (Robust Vibration Control of Smart Structures via Discrete-Time Fuzzy-Sliding Modes)

  • 최승복;김명석
    • 대한기계학회논문집A
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    • 제20권11호
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    • pp.3560-3572
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    • 1996
  • This paper presents a new discrete-time fuzzy-sliding mode controller for robust vibration control of a smart structure featuring a piezofilm actuator. A governong equation of motion for the smart beam structure is derived and discrete-time codel with mismatched uncertainties such as parameter variations is constructed ina state space. A discrete-time sliding mode control system consisting of an equivalent controller and a discontinuous controller is formulated. In the design of the equivalent part, so called an equivalent controller separation method is adopted to achieve vzster convergence to a sliding surface without extension of a sliding region, in which the system robustness maynot be guaranteed. On the other hand, the discontinuous part is constructed on the basis of both the sliding and the convergence conditions using a time-varying feedback gain. The sliding moide controller is then incorporated with a fuzzy technique to appropriately determine principal control parameters such as a discountinuous feedback gain. Experimental implementation on the forced and random vibraiton controls is undertaken in order to demonstrate superior control performance of the proposed controller.

Digital Control of Phase-Shifted Full-Bridge PWM Converter

  • Lim, Jeong-Gyu;Chung, Se-Kyo
    • Journal of Power Electronics
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    • 제8권3호
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    • pp.201-209
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    • 2008
  • This paper presents the modeling and design of a digital controller for a phase-shifted full-bridge converter (PSFBC) in a discrete-time domain. The discretized PSFBC model is first derived and then analyzed considering the sampling effect and the system parameters. Based on this model, the digital controller is directly designed in a discrete-time domain. The simulation and experimental results are provided to show the validity of the proposed modeling and controller design.

입출력 데이터 기반 Q-학습과 LMI를 이용한 선형 이산 시간 시스템의 모델-프리 $H_{\infty}$ 제어기 설계 (Model-free $H_{\infty}$ Control of Linear Discrete-time Systems using Q-learning and LMI Based on I/O Data)

  • 김진훈
    • 전기학회논문지
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    • 제58권7호
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    • pp.1411-1417
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    • 2009
  • In this paper, we consider the design of $H_{\infty}$ control of linear discrete-time systems having no mathematical model. The basic approach is to use Q-learning which is a reinforcement learning method based on actor-critic structure. The model-free control design is to use not the mathematical model of the system but the informations on states and inputs. As a result, the derived iterative algorithm is expressed as linear matrix inequalities(LMI) of measured data from system states and inputs. It is shown that, for a sufficiently rich enough disturbance, this algorithm converges to the standard $H_{\infty}$ control solution obtained using the exact system model. A simple numerical example is given to show the usefulness of our result on practical application.

레이저 마킹 시스템의 이산시간 슬라이딩 모드 제어기 설계 (Design of a Discrete Time Sliding Mode Controller for Laser Marking System)

  • 이충우;채수경;최재모;정정주
    • 제어로봇시스템학회논문지
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    • 제10권4호
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    • pp.304-311
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    • 2004
  • In this paper we present a technique of discrete-time sliding mode controller design for assigning eigenvalues of sliding mode and determining a convergence rate to sliding surface. First the sliding mode coefficient is designed via Ackermann s formula. Then a linear controller is designed to enforce sliding mode such that the resulting closed loop yields the desired eigenvalues. As we use a linear control instead of nonlinear control, chattering is nearly eliminated. Simulation and experimental results are included to show the effectiveness of the proposed method for Laser Marking System.

로보트 매니퓰레이터의 이산 시간 적응제어에 관한 연구 (A study on the Discrete-Time Adaptive Control for Robot Maninpulator)

  • 성관용;이은철;유재근;남문현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.777-780
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    • 1991
  • The practical implementation of model reference adaptive systems(MRAS) using digital computer requires the derivation of discrete-time adaptation laws. This is specially important in the case of direct driver robot and light weight manipulator where inertia changes ang gravity effects are significant. We develope a discrete-time model reference adaptive control scheme for trajectory tracking of robot manipulator. Instead of the conventional Lyapunov approach hyperstabillty theory is more appealing than the Lyapunov approach. It is better suited to discrete time systems and offers more flexibility in design by providing additional free design parameters.

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A design of discrete-time integral controllers under skewed sampling

  • Ishihara, Tadashi;Guo, Hai-Jiao;Taketa-Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.428-433
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    • 1993
  • First, we propose a transparent and efficient design of discrete-time integral controllers accounting sampling skew. Based on the proposed controller, we derive a state-space representation of doubly coprime factorization including integral action. The representation is then used to obtain a convenient state-space parametrization of discrete-time two-degree-of-freedom integral controllers acconting sampling skew.

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