• Title/Summary/Keyword: $H^\infty$control

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Design of Guidance and Control System for X-plane Submarine (X타 수중함의 유도·제어시스템 설계)

  • Park, Jong-Yong;You, Youngjun;Jeon, Myungjun;Yoon, Hyeon-Kyu
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.5
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    • pp.306-313
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    • 2022
  • Most submarines use the cross-plane, which is convenient and inexpensive, but the number of submarines equipped with an X-plane is increasing recently. This study focuses on designing the control system of the X-plane submarine with various control methods and analyzing the effect of each controller. First, a maneuvering simulation environment for a subjected submarine is established. The dynamics and the operating range of control surfaces are considered. Second, a depth and heading control system of the submarine, which can be divided into three parts, is designed: guidance, controller, and control allocation. The guidance system generates a smooth desired depth and heading. The controller is designed using Proportional-Integral-Differential (PID), Linear Quadratic Regulator (LQR), and H-infinity (H∞) control methods. A linear control allocation method is used to distribute control moment calculated by the controller to the control surfaces. Finally, the designed control system is applied to a subjected X-plane submarine, and a depth and heading control simulations are performed. Each control method is compared and analyzed under various simulation conditions.

Robust Servo Design and Application for Optical Disk Drive Using Robust Control Theory : H vs. QFT (광 디스크 드라이브 서보 설계를 위한 강건 제어 이론의 적용 및 평가 : H vs. QFT)

  • Lee, Kwang-Hyun;Yang, Hyunseok;Park, No-Cheol;Park, Young-Pil;Choi, Jin-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.10 s.103
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    • pp.1148-1159
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    • 2005
  • In this paper, the various uncertainties generated in an optical disk drive (ODD) and the robust servo designs considering the uncertainties are studied. First, the brief introduction an ODD and the servo error tolerance of it are discussed. Then, the classifications of uncertainty and the concept of relative stability are introduced. Considering the uncertainty of an ODD, two robust control approaches are applied: (i) mixed sensitivity approach in H$\infty$ control theory for unstructured uncertainty, (ii) QFT for structured uncertainty Finally, the designed controllers are realized by DSP, and these controllers are applied to a commercial DVD-ROM drive. From these experiments, we prove that the designed robust controllers have more good disturbance rejection performance and robustness when it is compared to the conventional lead-lag controller.

Roll-Pitch-Yaw Integrated H Controller Synthesis for High Angle-of-Attack Missiles

  • Choi, Byung-Hun;Kang, Seon-Hyeok;Kim, H. Jin;Won, Dae-Yeon;Kim, Youn-Hwan;Jun, Byung-Eul;Lee, Jin-Ik
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.1
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    • pp.66-75
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    • 2008
  • In this work, we explore the feasibility of roll-pitch-yaw integrated autopilots for high angle-of-attack missiles. An investigation of the aerodynamic characteristics of a surface-to-air missile is presented, which reveals the strong effects of cross coupling between the longitudinal and lateral dynamics. Robust control techniques based on $H_{\infty}$ synthesis are employed to design roll-pitch-yaw integrated autopilots. The performance of the proposed roll-pitch-yaw integrated controller is tested in high-fidelity nonlinear five-degree-of-freedom simulations accounting for kinematic cross-coupling effects between the lateral and longitudinal channels. Against nonlinearity and cross-coupling effects of the missile dynamics, the integrated controller demonstrates superior performance when compared with the controller designed in a decoupled manner.

H Controller Design of Flexible Space Structure with the Uncertainty of Damping Ratio (감쇠비 불확실성을 고려한 유연구조물의 H 제어기 설계)

  • Chae, Jang-Su;Park, Tae-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.602-608
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    • 2002
  • The flexible structure like solar array and antenna in spacecraft shows very sensitive responses to the inner or outer disturbance and noise. And the spacecraft becomes more complex and larger as it has various mission and role. But since the spacecraft need to have the limited mass, the thin and light material should be selected and this necessity induces the decrease d natural frequency and structural stiffness. It reduces the ability of adapting to the disturbance and induces the structural unstability. Certainly, the disturbance does not only make the structural unstability, but also give the bad effect to the precise attitude control. So it is necessary to control the vibration in the space. In this paper, the flexible structure control modeling with piezo sensor and piezo actuator is developed. The model uncertainty of damping ratio is overcome by robust control. The system equation is induced by the finite element method.

LMI Parameterization of Lineny Sliding Surfaces for Mismatched Uncertain Systems (정합조건을 만족시키지 않는 불확실한 시스템을 위한 선형 슬라이딩 평면의 LMI 매개변수화)

  • Lee, Jae-Kwan;Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.11
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    • pp.907-912
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    • 2005
  • In this paper, we consider the problem of designing sliding surfaces fur a class of dynamic systems with mismatched uncertainties in the state space model. In terms of LMIs, we give necessary and sufficient conditions fir the existence of a linear sliding surface such that the reduced order sliding mode dynamics is asymptotically stable and completely independent of uncertainties. We parameterize all such linear sliding surfaces by using the solution to the given LMI conditions. And, we consider the problem of designing linear sliding surfaces guaranteeing pole placement constraints or $H_2/H_infty$ performances. Finally, we give a design example in order to show the effectiveness of our method.

An output feedback control design for linear systems with state delay via convex optimization (컨벡스 최적화를 이용한 상태변수에 시간지연을 가진 선형시스템의 출력궤환 $H^{\infty}$ 제어기 설계)

  • 유석환
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.3
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    • pp.86-92
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    • 1998
  • This paper deals with an output feedback H control problem for linear time ivariant systems with state delay. The proposed output feedback controller is represented by the lower linear fractional transformation of alinear time invariant system and a delay operator. Sufficient conditions for the existence of the output feedback controller are given in the form of linear matrix inequalities which are less conservative than those for the existence of a rational output feedback controler. We also present a numerical example to demonstrate the efficacy of the proposed method.of the proposed method.

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A Design on Reference Model Following Fuzzy Control System Using Hysteresis element (비선형 요소를 이용한 기준 모델 추종형 퍼지 제어 시스템의 설계)

  • Hwang, C.S.;Nam, K.W.;Jeong, H.S.;Kim, D.W.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.974-976
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    • 1996
  • In this paper, a reference model following control system using a fuzzy logic controller(FLC) is proposed By using an integrator and a nonlinear hysteresis element, a reference model whose response has no overshoot and fast rise time is designed. A FLC is designed to follow as close as possible to the response of the reference model. The proposed design method is shown that the robustness and the optimal tracking property can be achieved under modeling error, disturbance and parameter perturbations. The effectiveness of the proposed design method is verified through the simulation that compare using the FLC with using a $H_{\infty}$ controller.

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H State Estimation of Static Delayed Neural Networks with Non-fragile Sampled-data Control (비결함 샘플 데이타 제어를 가지는 정적 지연 뉴럴 네트웍의 강인 상태추정)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.171-178
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    • 2017
  • This paper studies the state estimation problem for static neural networks with time-varying delay. Unlike other studies, the controller scheme, which involves time-varying sampling and uncertainties, is first employed to design the state estimator for delayed static neural networks. Based on Lyapunov functional approach and linear matrix inequality technique, the non-fragile sampled-data estimator is designed such that the resulting estimation error system is globally asymptotically stable with $H_{\infty}$ performance. Finally, the effectiveness of the developed results is demonstrated by a numerical example.

A robust noise rejector in a small cavity

  • Seo, Suk-Bong;Ahn, Woo-Hyun;Chung, Tae-Jin;Chung, Chan-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.115-118
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    • 1996
  • This paper studies on an active noise control to reduce noise sound level in a small cavity. Ideally, high gain control solves this problem, but, in practice, there exist nonlinear characteristics and modelling errors of the small cavity, which make the control more complicated. H$_{\infty}$ control can be used in an uncertain system after determining uncertain boundary and solved algebraically or numerically. In this paper, the numerical one, LMI(Linear Matrix Inequality), is used to get controller. Finally, experiment result shows the performance of the controller..

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A Tracking Gain-Up Controller Design for Controlling the Shake of Actuator (엑츄에이터 흔들림 제어를 위한 트랙킹 Gain-Up 제어기 설계)

  • Jin, Kyoung-Bog;Lee, Moon-Noh
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.10
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    • pp.988-993
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    • 2009
  • In this paper, we deal with a tracking gain-up controller design problem to control effectively the shake of tracking actuator after a track seek. A minimum tracking gain-up open-loop gain can be calculated by estimating the shake of tracking actuator and a desired transient specification is considered to diminish effectively the shake of actuator. A tracking gain-up controller is designed by considering a robust $H_{\infty}$ control problem with a regional stability constraint. The proposed tracking gain-up controller design method is applied to the track-following system of a DVD recording device and is evaluated through the experimental results.