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

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Contruction of a robust control system for a plant with time delay

  • Morikawa, Youichi;Kamiya, Yuji
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.103-105
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    • 1995
  • In this paper, though Simith controller is also used, we propose a new system configuration which can be regarded an SISO continuous nth-order plant with time delay of k-times of a sampling period as a linear discrete (n + k)th order plant of which all state variables can be available. Consequently, we can pply linear control system design techniques which do not consider the existence of time delay to the proposed system.

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Control System Design for Marine Vessel Satisfying Mixed H2/H Performance Condition (H2/H 설계사양을 만족하는 선박운동제어계 설계에 관한 연구)

  • Kang, Chang-Nam;Kim, Young-Bok
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.9
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    • pp.846-852
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    • 2013
  • In this paper, the authors propose a new approach to control problem of the marine vessels which are moored or controlled by actuators. The vessel control problem in the specified area is called a DPS (Dynamic Positioning System). The main objective of this paper is to obtain more useful control design method for DPS. In this problem, a complicate fact is control allocation which is a numerical method for distributing the control signal to the controlled system. For this, many results have been given and verified by other researchers using two individual processes. It means that the controller design and control allocation design process are carried out individually. In this paper, the authors give more sophisticated design solution on this issue. In which the controller design and control allocation problem are unified by a robust controller design problem. In other word, the stability of the closed-loop system, control performance and allocation problem are unified by an LMI (Linear Matrix Inequality) constraint based on $H_2/H_{\infty}$ mixed design framework. The usefulness of proposed approach is verified by simulation with a supply vessel model and found works well.

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.

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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Fuzzy Robust$H^{\infty}$ Controller Design of Nonlinear Uncertain Time Delay Systems (비선형 불확실성 시간지연 시스템의 퍼지 견실 $H^{\infty}$제어기 설계)

  • 김종해;이형호;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.5
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    • pp.30-41
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    • 1999
  • 본 논문에서는 연속시간과 이산시간에서 파라미터 불확실성과 시간지연을 가지는 비선형시스템에 대한 퍼지 견실 H∞ 제어기 설계방법을 제시한다. 비선형시스템은 변형한 T-S(Takagi- Sugeno) 퍼지모델을 사용하여 나타내고, 퍼지제어는 PDC(parallel distributed compensation) 개념을 이용한다. 또한 Lyapunov 접근방법을 이용하여 불확실성, 외란과 시간지연을 가지는 변형한 T-S 퍼지모델의 H∞ 노옴 한계를 가지는 자승적 안정성을 언급하고, LMI(linear matrix inequality) 기법을 이용하여 퍼지 견실 H∞ 제어기의 존재 조건과 제어기 설계방법을 제시한다. 그러므로 제시한 기법은 구하여진 충분조건을 만족하는 해를 찾음과 동시에 제어기를 한번에 설계할 수 있다. 마지막으로 예제를 통하여 제시한 방법의 타당성을 확인한다.

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A robust controller design for attitude control of hovering vehicle (수직부상기의 자세제어를 위한 강인한 제어기의 설계)

  • 최연욱;이형기
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.12
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    • pp.41-49
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    • 1997
  • This paper deals with the attitude control of a self-made VTOL vehicle which is round shape and has four fans and motors. Although hovering mechanisms are suitable for field work at a mountainous region or a building site etc., it is known that modeling the structure of the plant is quite difficult due to its unstable or uncertain characteristics. So, a robust controller is requried in order to cope with these uncertainties. WE first model the structure of the plant under the actual hovering setting and then determine the uncertainty of the acquired mathematical model by using system identification method as exactly as possible. We adopt the $H^{\infty}$ theory as a control algorithm because of its availability, and the structure of two-degree-of-freedom is used as a basic feedback control system to improve the transient response of the plant. Finally, we show the appropriateness of the designed controller through simulations and experiments. That is, the proposed VTOL system is able to maintain its roubust performance in spite of parameter variations and existing disturbances..

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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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Static Output-Feedback-Based Robust Fault Tolerant Controller Design (정적 출력궤환 기반 강인 고장포용 제어기 설계)

  • Jee, Sung Chul;Moon, Ji Hyun;Lee, Ho Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.7
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    • pp.587-591
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    • 2013
  • This paper addresses the robust fault tolerant controller design problems of static output systems with disturbance. The fault is expressed by the abrupt chattering of system parameters. The design conditions are derived in terms of linear matrix inequalities and linear matrix equalities. An illustrative example is provided to verify performances of the proposed controller.

Robust Control of the Position of a Manipulator Using Pneumatic Artificial Muscle (공압인공근육을 이용한 조작기 위치의 강인제어)

  • Park, No-Cheol;Yang, Hyun-Seok;Park, Young-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.6
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    • pp.1882-1892
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    • 1996
  • This paper is concerned with the position control of the ond degree-of freedom manipulator using pneumatic artificial muscle actuator which is built to have a proper compliance. For t his pneumatic artificial muscle actuator though, it is difficult to make an effective control scheme due to the nonlinearity and uncertainties on the dynamics of the actuator. In this paper, a third-order equation of motion is derived for the actuator including the dynamics of the pneumatic servovalve. Later, various modeling uncertainties due to the nonlinearity and unmodeled dynamics of the servo vlave and the actuator are taken care of, as a trade-off between the closed-loop performance of the controlled system and its robustness to uncertainties. A controller using .mu. synthesis thchnique is designed, and robust performance against measurement noise, various modeling uncertainties due to the dynamics of the servo valve and actuator is achieved. The effectiveness of the proposed control methods is illustrated through simulations and experiments.