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

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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.

New Robust $H_{\infty}$ Performance Condition for Uncertain Discrete-Time Systems

  • Zhai, Guisheng;Lin, Hai;Kim, Young-Bok
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.322-326
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    • 2003
  • In this paper, we establish a new robust $H_{\infty}$ performance condition for uncertain discrete-time systems with convex polytopic uncertainties. We express the condition as a set of linear matrix inequalities (LMIs), which are used to check stability and $H_{\infty}$ disturbance attenuation level by a parameter-dependent Lyapunov matrix. We show that the new condition provides less conservative result than the existing ones which use single Lyapunov matrix. We also show that the robust $H_{\infty}$ state feedback design problem for such uncertain discrete-time systems can be easily dealt with using the approach. The key point in this paper is to propose a kind of decoupling between the Lyapunov matrix and the system matrices in the parameter-dependent matrix inequality by introducing one new matrix variable.

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Observers for nonautonomous discrete-time nonlinear systems

  • Nam, Kwanghee;Lee, Wonchang
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.1828-1832
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    • 1991
  • We study the observer design problem for nonautonomous discrete-time nonlinear systems. We investigate the structure of nonautonomous discrete-time systems which are state equivalent to the nonlinear observer form and characterize their class. Necessary and sufficient conditions for the existence of an input independent (local) diffeomorphism axe derived which transforms multi-input, multi-output nonlinear systems into the nonlinear observer form.

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Design of discrete-time integral controllers for non-minimum phase plants via LTR techniques

  • Guo, Hai-Jiao;Ishihara, Tadashi;Takeda, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.622-627
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    • 1994
  • In this paper, we discuss an application of LTR techniques to integral controller design for discrete-time non-minimum phase plant models. It is shown that the feedback property obtained by enforcing the conventional LTR procedure can be achieved by the partial LTR technique. In addition, we point out that the partial LTR technique provides more design freedom in shaping a target feedback property.

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$\textrm{H}_\infty$ 기법에 의한 발사체의 견실한 제어기 설계 (Robust Controller Design by $\textrm{H}_\infty$ Method for a Launch Vehicle)

  • 이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.463-468
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    • 1992
  • In this paper, discrete-time H$_{\infty}$ controller design in .delta.- domaion using Normalized Coprime Factor plant description is proposed and the loop-shaping method developed by Mcfalane[2], which is known to be very simple and systematic method, is adopted here in H$_{\infty}$ controller design. In particular, we show that .delta.- H$_{\infty}$ controller proposed here is a unified form for the continuous and discrete-time cases.es.

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Active control of a flexible structure with time delay

  • Cai, Guo-Ping;Yang, Simon X.
    • Structural Engineering and Mechanics
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    • 제20권2호
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    • pp.191-207
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    • 2005
  • Time delay exists inevitably in active control, which may not only degrade the system performance but also render instability to the dynamic system. In this paper, a novel active controller is developed to solve the time delay problem in flexible structures. By using the independent modal space control method, the differential equation of the controlled mode with time delay is obtained from the time-delay system dynamics. Then it is discretized and changed into a first-order difference equation without any explicit time delay by augmenting the state variables. The modal controller is derived based on the augmented system using the discrete variable structure control method. The switching surface is determined by minimizing a discrete quadratic performance index. The modal coordinate is extracted from sensor measurements and the actuator control force is converted from the modal one. Since the time delay is explicitly included throughout the entire controller design without any approximation, the system performance and stability are guaranteed. Numerical simulations show that the proposed controller is feasible and effective in active vibration control of dynamic systems with time delay. If the time delay is not explicitly included in the controller design, instability may occur.

LQG/LTR 방법을 이용한 견실한 디지탈 서어보 제어기 실현 및 성능분석 (Implementation and performance analysis of digital servo controller using LQG/LTR method)

  • 최중락;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1987년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 16-17 Oct. 1987
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    • pp.570-574
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    • 1987
  • The robust servo controller is designed by the procedure of LQG/LTR method in the continuous-time domain. This design results is equivalently converted to the discrete-time suboptimal LQG in order to implement by the microcomputer system. The LTP, condition of the discrete-time LQG is analyzed and approved by the experiments against the uncertainty of real plant, the discretized LQG /LTR control shows the good robustness.

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벡터 인력을 갖는 이산선형시 불변시스템의 피이드백 조정기의 해석적 설계 (An Analytical Design Of A Feedback Regulator With Vector Input In A Discrete Linear Time Invariant Systems)

  • 고명삼;양해원
    • 전기의세계
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    • 제23권1호
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    • pp.69-72
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    • 1974
  • This paper deals with an analytical design of a feedback regulator with vector input is discrete linear time-invariant systems. We have derived some relations such that the eigenvalues of a system plant with vector input under the time-optimal control strategy can be arbitrarily changed by the characteristics of the minor loop compensator which is indroduced in the feedback path.

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$\delta$- 연산자를 이용한 강인한 모델 추종형 서보 시스템의 구성에 관한 연구 (A Design on Robust Model Following Servo System using $\delta$- Operator)

  • 김정택;이화석;박성준;추영배;황현준;이양우;박준호
    • 대한전기학회논문지:전력기술부문A
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    • 제48권6호
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    • pp.747-752
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    • 1999
  • In the fast sampling limit, the delta operator model tends to the analog system model. This fundamental property of the delta operator model unifies continuous and discrete time control system. In this paper, we study robust linear optimal model following servo system in the presence of disturbances and parameter perturbations. A technique to directly design the generalized differential operator based unified control system that convers both differential operator based continuous time and delta operator based discrete time case is presented. The quadratic criterion function for a linear system is used to design the robust unified servo control. The characteristics of the proposed servo system are analysed and simulated to verify the robustness.

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이산시간 학습제어 시스템의 설계법 (A Design Method of Discrete Time Learning Control System)

  • 최순철
    • 한국통신학회논문지
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    • 제13권5호
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    • pp.422-428
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    • 1988
  • 반복 학습제어시스템은 시행을 반복함으로써 유한시간의 목표출력에 대하여 추종해 가도록 하는 것이다. 본 논문에서는 이산시간 시스템에 있어서의 이산 시간 학습제어 입력을 구하는 방법을 제안한다. 여기서 현재시행의 제어입력은 바로 전시행에서 입력 sequence와 time-shift된 error sequence의 선형조합에 의하여 구해진다. 컴퓨터로 제어되는 이산시간 시스템에서 error신호의 미분조작이 필요한 연속시간 Betterment Process에 비하여 error sequence의 time-shift조작은 보다 간단해지며 컴퓨터 시뮬레이션을 통하여 그 유효성을 확인하였다.

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