• Title/Summary/Keyword: $H^{\infty}$ controller

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Design of an missile autopilot using intelligent control technique (지능 제어 기법을 이용한 유도탄 자동 조정 장치 설계)

  • 김윤식;한웅기;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1509-1512
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    • 1996
  • This paper presents an intelligent autopilot for STT missiles with multiple controllers. The mixed H$_{2}$/H$_{\infty}$ control technique is applied for each controller and implemented by using the genetic searching algorithm. To facilitate automatic switching of multiple controllers under different operating conditions, an error based switching scheme is also combined with the multiple controllers at the higher level, which constitutes a hierarchical intelligent control system. It is shown via computer simulation that the proposed autopilot outperforms the conventional one..

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H Fuzzy Control for Discrete-Time Nonlinear Markovian Jump Systems with Time Delay (시간지연을 갖는 이산 비선형 마코비안 점프 시스템의 H 퍼지 제어)

  • Lee, Kap-Rai;Lee, Kyung-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.779-786
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    • 2009
  • This paper deals with $H_{\infty}$ fuzzy control problem of discrete-time nonlinear Markovian jump systems with time delay. The Takgi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the Markovian jump fuzzy system with time delay. Stochastic Lyapunov function is dependent on the operation modes of the system. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller are given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficient of the proposed design methods.

Robust H Disturbance Attenuation Control of Continuous-time Polynomial Fuzzy Systems (연속시간 다항식 퍼지 시스템을 위한 강인한 H 외란 감쇠 제어)

  • Jang, Yong Hoon;Kim, Han Sol;Joo, Young Hoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.6
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    • pp.429-434
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    • 2016
  • This paper introduces a stabilization condition for polynomial fuzzy systems that guarantees $H_{\infty}$ performance under the imperfect premise matching. An $H_{\infty}$ control of polynomial fuzzy systems attenuates the effect of external disturbance. Under the imperfect premise matching, a polynomial fuzzy model and controller do not share the same membership functions. Therefore, a polynomial fuzzy controller has an enhanced design flexibility and inherent robustness to handle parameter uncertainties. In this paper, the stabilization conditions are derived from the polynomial Lyapunov function and numerically solved by the sum-of-squares (SOS) method. A simulation example and comparison of the performance are provided to verify the stability analysis results and demonstrate the effectiveness of the proposed stabilization conditions.

$H^{\infty}$ Controller Design for RTP System using Weighted Mixed Sensitivity Minimization (하중 혼합감도함수를 이용한 RTP 시스템의 $H^{\infty}$ 제어기 설계)

  • Lee, Sang-Kyung;Kim, Jong-Hae;Oh, Do-Chang;Park, Hong-Bae
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.6
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    • pp.55-65
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    • 1998
  • In industrial fields, RTP(rapid thermal processing) system is widely used for improving the oxidation and the annealing in semiconductor manufacturing process. The main control factors are temperature control of wafer and uniformity in the wafer. In this paper, we propose an $H^{\infty}$ controller design of RTP system satisfying robust stability and performance using weighted mixed sensitivity miniimization and loop shaping technique. And we need reduction technique because of the difficulty of implementation with the obtained high order controller for original model and reduced models, namely, Hankel, square-root balanced, and Schur balanced methods. An example is proposed to show the validity of the proposed method.

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Design of a Discrete-Time $H_{\infty}$ Controller with Preview Action (예견 기능을 가진 이산시간 $H_{\infty}$ 제어기의 설계)

  • Choi, Jin-Tae;Kim, Jong-Shik
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.2
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    • pp.115-123
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    • 1997
  • 이산기간 H/sub .inf./ 제어에 의한 최적 예견제어기를 제안한다. 기존의 H/sub .inf./ 제어기는 미지의 외란만 고려한 것이고, LQ 에 의한 예견제어기는 예견 가능한 외란과 미지의 외란이 동시에 가해지는 동적 시스템의 전달함수 행렬의 infinity 놈의 최소화하는 피드백제어기가 동시에 설계된다. 제어기의 설계는 full-information H/sub .inf./ 제어 이론을 따르나, 그 유도 과정은 LQ 에 기초한 예견제어기와 유사하게 이루어진다. 설계된 H/sub .inf./ 예견 게인 행렬은 LQ 예견 게인 행렬과 유사한 구조를 갖는다. 전달함수 행렬의 infinity 놈이 .inf.로 갈수록 H/sub .inf./ 예견 게인 행렬은 LQ에 의한 것에 접근한다. LQ 예견 게인 행렬은 H/sub .inf./ 예견 게인 행렬의 부분 집합임이 입증한다.

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A Novel Approach on $H_{\infty}$-LTR Controller Design ($H_{\infty}$-LTR 제어기 설계의 새로운 접근방법)

  • Lhee, Chin-Gook;Park, Jae-Sam;Ahn, Hyun-Sik;Kim, Do-Hyun
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.2
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    • pp.38-45
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    • 1999
  • In this paper, A novel approach on $H_{\infty}-LTR$ design scheme is presented. The proposed scheme provides a design toll which can trade-off the recovery error against the control input. In the first stage, Kalman filter is designed to shape the loop to satisfy the required performance specifications. The designed Kalman filter, together with the plant transfer function, is used as a target transfer function. In the second stage, sensitivity function weighted $H_{\infty}-LTR$suboptimal LTR is designed to recover the target loop transfer function. Simulation results of LQG/LTR, $H_{\infty}-LTR$are compared to demonstrate the good property of the proposed scheme.

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Design of Robust $H_\infty$ Control for Interconnected Systems: A Homotopy Method

  • Chen Ning;Ikeda Masao;Gui Weihua
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.143-151
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    • 2005
  • This paper considers a robust decentralized $H_\infty$ control problem for uncertain large-scale interconnected systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in subsystems. A design method based on the bounded real lemma is developed for a dynamic output feedback controller, which is reduced to a feasibility problem for a nonlinear matrix inequality (NMI). It is proposed to solve the NMI iteratively by the idea of homotopy, where some of the variables are fixed alternately on each iteration to reduce the NMI to a linear matrix inequality (LMI). A decentralized controller for the nominal system is computed first by imposing structural constraints on the coefficient matrices gradually. Then, the decentralized controller is modified again gradually to cope with the uncertainties. A given example shows the efficiency of this method.

A Design of an Active Noise Controller in a Communication Headset (통신용 헤드셋에서 능동소음제어기의 설계)

  • 정태진;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.81-84
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    • 1997
  • This paper studies an active noise controller in a communication headset. The system is a two inputs(communication signal and noise signal) and single output(error signal) system. The problem is to reduce noise level sufficiently lower than communication signal to receive the communication signal clearly. The approach to this problem is in two steps. In the first step, we solve the noise rejection problem without communication signals. In this step, the problem is transformed to the robust H$_{\infty}$ regulating problem and solved using Linear Matrix Inequalities. In the second step, communication signal is introduced to the system, To verify the performance of the designed controller, a couple of experiments are performed..

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Robust controller design for RTP system using weighted mixed sensitivity minimization (하중 혼합감도함수를 이용한 RTP 시스템의 견실제어기 설계)

  • 이상경;오도창;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.434-437
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    • 1997
  • In this paper, we present an $H^{\infty}$ controller design of RTP system satisfying robust stability and performance using weighted mixed sensitivity minimization. In industrial fields, RTP system is widely used for improving the oxidation and the annealing in semiconductor manufacturing process. The main control factors are temperature control of wafer and uniformity in the wafer. The control of temperature and uniformity has been solved by PI control method. We improve robust stability and performance of RTP system by the design of $H^{\infty}$ controller using the weighted mixed sensivity function. An example is proposed to show the validity of proposed method.d.

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Robust Control Simulation of a Composite Beam using Self-Sensing Actuators (Self-Sensing 작동기를 이용한 복합재 보의 강인제어 시뮬레이션)

  • 권대규;최병용;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.284-287
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    • 2001
  • This paper presents the robust control simulation of a composite beam using self-sensing actuators(SSA). The self-sensing actuator is a new concept for intelligent material, where a single piezoelectric element simultaneously functions as both a sensor and an actuator. In a practical implementation of the self-sensing actuator an electrical bridge circuit is used to measure strain. The circuit could provide significant information about strain in the element if it were well-balanced. Our aim is design a robust controller which guarantees that the performance of a self-sensing actuator is robust against perturbation of the bridge balance and to confirm the advantages of this technique. Simulation results show that the self-sensing actuator driven by the designed controller exhibits excellent performance in suppressing the vibration of a composite beam.

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