• Title/Summary/Keyword: and discrete feedback

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Output-feedback H_infinite Control of Discrete-time LPV Systems

  • Park, Doo-Jin;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.2-44
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    • 2002
  • $\textbullet$ We propose a new H_infinite LPV output-feedback controller associated with a new PQLF $\textbullet$ The LPV controller employs not only the current-time but also the one-step-past information $\textbullet$ The controller is formulated with parameterized linear matrix inequalities $\textbullet$ We propose the new controller for discrete-time LPV systems $\textbullet$ As a conservative case, we suggest another controller associated with CQLF

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

  • Choi, Seung-Bok;Kim, Myoung-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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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.

Analysis and Approximation of Linear feedback control problems for the Boussinesq equations

  • 최영미;이형천
    • Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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    • 2003.09a
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    • pp.6-6
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    • 2003
  • In this work we consider the mathematical formulation and numerical resolution of the linear feedback control problem for Boussinesq equations. The controlled Boussinesq equations is given by $$\frac{{\partial}u}{{\partial}t}-{\nu}{\Delta}u+(u{\cdot}{\nabla}u+{\nabla}p={\beta}{\theta}g+f+F\;\;in\;(0,\;T){\times}\;{\Omega}$$, $${\nabla}{\cdot}u=0\;\;in\;(0,\;T){\times}{\Omega}$$, $$u|_{{\partial}{\Omega}=0,\;u(0,x)=\;u_0(x)$$ $$\frac{{\partial}{\theta}}{{\partial}t}-k{\Delta}{\theta}+(u{\cdot}){\theta}={\tau}+T,\;\;in(0,\;T){\times}{\Omega}$$ $${\theta}|_{{\partial}{\Omega}=0,\;\;{\theta}(0,X)={\theta}_0(X)$$, where $\Omega$ is a bounded open set in $R^{n}$, n=2 or 3 with a $C^{\infty}$ boundary ${\partial}{\Omega}$. The control is achieved by means of a linear feedback law relating the body forces to the velocity and temperature field, i.e., $$f=-{\gamma}_1(u-U),\;\;{\tau}=-{\gamma}_2({\theta}-{\Theta}}$$ where (U,$\Theta$) are target velocity and temperature. We show that the unsteady solutions to Boussinesq equations are stabilizable by internal controllers with exponential decaying property. In order to compute (approximations to) solution, semi discrete-in-time and full space-time discrete approximations are also studied. We prove that the difference between the solution of the discrete problem and the target solution decay to zero exponentially for sufficiently small time step.

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Air-gap Disturbance Attenuation of Magnetic Levitation Systems using Discrete Kalman Filter (이산형 칼만필터를 이용한 자기부상시스템의 공극외란 감쇄)

  • 성호경;정병수;장석명
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.7
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    • pp.444-451
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    • 2004
  • Conventional magnetic levitation systems could show unsatisfactory performance under air-gap disturbance due to rail irregularities. In this paper, we propose a feedback control system with discrete Kalman filter for air-gap disturbance attenuation. It is shown that excellent system performance can be obtained with the use of discrete Kalman filter, and that results from experiments agree well with those of simulations.

Non-PDC Static Output Feedback Control for T-S Fuzzy Systems (T-S 퍼지 시스템에 대한 비병렬분산보상 정적 출력궤환 제어)

  • Jeung, Eun Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.7
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    • pp.496-501
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    • 2016
  • This paper presents a design method of non-parallel distributed compensation (non-PDC) static output feedback controller for continuous- and discrete-time T-S fuzzy systems. The existence condition of static output feedback control law is represented in terms of linear matrix inequalities (LMIs). The proposed sufficient stabilizing condition does not need any transformation matrices and equality constraints and is less conservative than the previous result of [21].

An Efficient Bias Circuit of Discrete BJT Component for Hearing Aid (보청기를 위한 개별 BJT 소자의 효과적인 바이어스 회로)

  • 성광수;장형식;현유진
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.6
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    • pp.16-23
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    • 2003
  • In this paper, we propose an efficient bias circuit of discrete BJT component for hearing aid. The collector feedback bias circuit, widely used for the hearing aid, has a resistor for negative feedback. As the resistor affects AC and DC simultaneously, it is quite difficult to adjust amplifier gain without changing DC bias point. The previous bias circuit also has weak point to be oscillated by the positive feedback of power noise if gain of hearing aid is high. In the proposed circuit, we can reduce the two weak points of the previous circuit by adding a resistor to the collector feedback bias circuit between base and power supply which is $\beta$ times target than the collector resistor. Thus. we can change amplifier gain without changing DC bias point, and reduce power noise gain about 18.5% compare to that of tile previous circuit in the simulation.

Discrete-Time Output Feedback Control of Nonlinear Systems with Unknown Time-Delay : Fuzzy Logic Approach (미지의 시간지연을 갖는 비선형 시스템의 이산시간 퍼지 출력 궤환 제어)

  • 신현석;김은태;박민용
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.5
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    • pp.374-378
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    • 2003
  • A new discrete-time fuzzy output feedback control method for nonlinear systems with unknown time-delay is proposed. Ma et al. proposed an analysis and design method of fuzzy controller and observer and Cao et al. extend this result to be applicable fir the nonlinear systems with known time-delay. For the case of unknown time-delay, we derive the sufficient condition f3r the asymptotic stability of the equilibrium Point by applying Lyapunov-Krasovskii theorem and convert this condition into the LMI problem.

Static Output Feedback Control Synthesis for Discrete-time T-S Fuzzy Systems

  • Dong, Jiuxiang;Yang, Guang-Hong
    • International Journal of Control, Automation, and Systems
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    • v.5 no.3
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    • pp.349-354
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    • 2007
  • This paper considers the problem of designing static output feedback controllers for nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy models. Based on linear matrix inequality technique, a new method is developed for designing fuzzy stabilizing controllers via static output feedback. Furthermore, the result is also extended to $H_{\infty}$ control. Examples are given to illustrate the effectiveness of the proposed methods.

An Analytical Design of Feedback Regulator and Signal State Estimator in Discrete Linear Systems (이산 선형시스템에서의 피이드백 조정기 및 신호상태 추정기의 해석적 설계)

  • 고명삼
    • 전기의세계
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    • v.21 no.3
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    • pp.19-30
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    • 1972
  • This paper deals with an analytic design of feedback regulator and signal state estimator in discrete linear systems. On the way of developing the deadbeat regulator, some necessary conditions for control policy have been derived, it is proved that the q periods delay in the control causes q periods delay in the point at which deadbeat response occurs. We have derived some relations such that the eigenvalue of system plant can be arbitrarily changed by the characteristics of minor loop compensator which is introduced in feedback path. And also we show that the signal state estimator which estimates the state of given signal sequence must satisfy some conditions. Theorems and conclusions are described with some simplel nontrivial numerical examples and signal state tracking application problems.

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An Efficient Bias Circuit for Hearing Aid using Discrete BJT (개별 BJT를 이용한 보청기의 효과적인 바이어스 회로)

  • 장형식;현유진;성광수
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.231-234
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    • 2002
  • In this paper, we propose an efficient bias circuit for hearing aid using discrete BJT. The collector feedback bias circuit, widely used for the hearing aid, has a resister for negative feedback. As the resistor affects AC and DC simultaneously, it is quite difficult to adjust amplifier gain without changing DC bias point. The previous bias circuit also has weak point to be oscillated by the positive feedback of power noise if gain of hearing aid is high. In the proposed circuit, we can reduce the two weak points of the previous circuit by adding a resistor which is ${\beta}$ times larger than collector resistor between base of BJT and power supply.

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