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

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Design of T-S Fuzzy Model Based H Controller for Diving Control of AUV: An LMI Approach (무인 잠수정의 깊이 제어를 위한 T-S 퍼지 모델 기반 H 제어기 설계: 선형 행렬 부등식 접근법)

  • Jun, Sung-Woo;Kim, Do-Wan;Lee, Ho-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.4
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    • pp.441-447
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    • 2012
  • This paper presents a design technique of a Takagi-Sugeno (T-S) fuzzy-model-based $H_{\infty}$ controller for autonomous underwater vehicles (AUVs). The design procedure aims to render the stabilizing controller which satisfies performance of the diving control for AUVs in the presence of the disturbance. A nonlinear AUV is modeled by the T-S fuzzy system through the sector nonlinearity. By using Lyapunov function, the sufficient conditions are derived to guarantee the performance of robust depth control in the format of linear matrix inequality (LMI). To succeed for diving control of AUV, we add the constraints on the diving and pitch angles in the LMI conditions. Through the simulation, we confirm the effectiveness of the proposed methodology.

Response Characteristics of Aeroelastic Systems Using Robust Controller (강인한 제어기를 이용한 공탄성 시스템의 응답특성)

  • Na, Sungsoo;Jeong, In-Joo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.4 s.97
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    • pp.437-444
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    • 2005
  • This paper presents a robust aeroelastic control methodology of a two dimensional flapped wing system exposed to an incompressible flow field. A robust controller is designed using a linear matrix inequality (LMI) approach for the multiobjective synthesis. The design objectives are to achieve a mix of $H_{\infty}$ performance and H₂ performance satisfying constraints on the closed loop pole locations in the presence of model uncertainties. Numerical examples are presented to demonstrate the effectiveness of LMI approach in damping out the aeroelastic response of 3-DOF flapped wing system.

Modeling and Design of Robust Control System for VTOL Aircraft with Multi Fan (멀티팬을 가진 부상기의 모델링과 강인한 제어기의 설계)

  • Shin, C.S.;Byun, G.S.;Choe, Y.W.;Lee, H.K.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1116-1118
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    • 1996
  • This paper designs a digital controller by making use of the $H^{\infty}$ control algorithm and $\mu$-synthesis in order to keep a balance of the VTOL(Vertical Take Off and Landing Plane) vehicle with 4 fans. A identification of the actual model is acquired by the vehicle rolling, pitching and yawing angles for a pseude-random signal input and various identification theories. In spite of parameter variations and existing disturbances, the designed controller showes its robust performance through simulations and experiments.

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A Study on the Controller Design of Internal Combustion Engine by LMI Approach (선형 행렬 부등식을 이용한 내연기관의 제어)

  • Kim, Yeong-Bok;Byun, Jeong-Hwan;Yang, Ju-Ho
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.33 no.1
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    • pp.59-67
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    • 1997
  • This paper gives a controller design method by Linear Matrix Inequality(LMI) for internal combustion engine with Continuously Variable Transmission(CVT) which satisfies the given $H_\infty$ control performance and robust stability in the presence of physical parameter perturbations. To the end, the validity and applicability of this approach are illustrated by simulation in the all engine operating regions.

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Slack Control for Laying a Submarine Cable (해저 케이블의 포설을 위한 여장제어)

  • Yang, Seung-Yun
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.6
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    • pp.502-508
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    • 2001
  • In this paper, slack is computed from a comparison of the cable pay out rate and the ship ground speed in accordance with laying conditions, and the speed controller of the cable engine based on an H(sub)$\infty$ servo control id designed for adjusting the cable engine in order to lay a desired amount of slack. The controller is designed for robust tracking of the cable engine under disturbances. The performance of the designed controller is evaluated by computer simulation, and, consequently, a feasibility study for laying the submarine cable stably is done through analyzing simulation results.

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Design of the robust bilateral controller for teleoperators with modeling uncertainties (모델링 불확실성이 존재하는 원격조작기에서 강인 안정을 보장하는 양방향 제어기 설계)

  • 이형기;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.976-979
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    • 1996
  • Teleoperation is the extension of a person's sensing and manipulation capability to a remote location. Teleoperators generally can be modeled as linear transfer function indecently including modeling uncertainty. Modeling uncertainties can make the system unstable and its performance poor. Thus I'm studying about a design framework for a bilateral controller of teleoperator systems with modeling uncertainties. In this paper, a method based on the H$_{\infty}$-optimal control and .mu.-synthesis frameworks are introduced to design a controller for the teleoperator that achieves stability and performance in the presence of the modeling uncertainties..ties.inties.

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Synchronized Control of Active Harmonic Gear System (능동 하모닉 기어구동시스템의 동기화제어)

  • Kim, Sang-Jin;Moon, Deok-Hong;Kim, Young-Bok
    • Journal of Power System Engineering
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    • v.18 no.1
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    • pp.112-119
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    • 2014
  • In this paper, the authors consider a gimbal system in which a camera is installed to reconnoiter the objects or targets. The issue for this considered system is to obtain information with good quality always. To achieve given objective, it is necessary to control the gimbal system with accurate rotation angle and speed. In this paper, the authors design a robust control system based on $H_{\infty}$ control framework. The controller is designed using a plant model obtained by experiment and simulation. And the experiment result with good control performance is presented.

A Study on the Engine-CPP Control of a Ship Propulsion System (선박 추진 시스템의 엔진-CPP 통합적 제어에 관한 연구)

  • 김영복
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.4
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    • pp.427-432
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    • 1998
  • There are many demands for ship control system and many studies have been proposed. For example, if a ship diesel engine is operated by consolidated control with Controllable Pitch Propeller(CPP), the minimum fuel consumption is achieved, satisfying the demanded ship speed. For this, it is necessary that the ship is operated on the ideal operating line which satisfies the minimum fuel consumption. In this context of view, this paper presents a controller design method for a ship propulsion system with CPP by Linear Matrix Inequality(LMI) which satisfies the given $H_{\infty}$ control performance and robust stability in the presence of physical parameter perturbations. The validity and applicability of this approach are illustrated through a simulation in the all operating ranges.

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$H^{\infty}$ 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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Structural vibration control using $H_{\infty}$ control theory : unceratinty model ($H_{\infty}$제어이론을 이용한 구조진동제어 - 불확실성 모델)

  • 송병석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.240-245
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    • 1995
  • 제어이론의 역사적 발전사를 고찰해보면 1930년대부터 1960년대까지를 고전 제어(classical control) 시대로 분류되고 이때 주로 사용되었던 용어들은 주파수역(frequency domain)에서 사용된 개념인 극점(pole), 영점(zero), Nyquist, 근궤적(root-Locus) 선도(plot)등으로 대표된다. 그 다음단계인 현대 제어(modern control) 시대 (1960년대-1980년대)때는 새로운 개념들이 도입 되었는데 시간역(time domain)에서 사용되는 상태공간(state-space) 모델, 가제어성(controllability), 가관측성(observability), Kalman 필터, LQG 제어 등이다. 1980년대부터 현재까지를 강인제어(robust control) 시대로 분류하는데 이것의 특징들은 극점이나 영점 대신 상태공간 모델을 사용하여 주파수역에서 정의되는 개념들인 H$_{\infty}$ 합성법, .$\mu$ 해석법, LQG/LTR 및 QFT, Lyapunov 등으로 대표된다. 현대제어시대때는 제어기 K는 공칭 플랜트 모델 G$_{0}$를 기준으로 설계되었으나 실제로 공칭 플랜트 모델은 실제 플랜트와 항상 같을 수가 없었다. 따라서 실제 플랜트 G는 G=G$_{0}$ + .DELTA.G로 표현되며 여기서 .DELTA.G는 플랜트 불 확실성(plant uncertainty), 즉 실제 플랜트와 공칭 플랜트의 차이를 나타낸 다. 이 플랜트 불확실성은 제어기가 실제 응용되어 사용되었을 때 제대로 작동하지 않는 주요 이유중에 하나이다. 이와 같은 상황에서 안정도 강인성 (stability robustness) 및 성능 강인성(performance rosubtness)의 보장은 상 당히 중요한 문제로 대두되었으며 주어진 플랜트 불확실성하에서 이러한 강이성들이 보장되는 제어이론들 중 H$_{\infty}$ 제어이론이 많이 연구/응용 되고 있다. 특히 공칭 플랜트 모델과 함께 사용되는 플랜트 모델과 함께 사용되는 플랜트 불확실성 모델은 직접적으로 성능 및 안정도에 영향을 미치므로 주의 깊게 선정해야 한다.

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