• Title/Summary/Keyword: $H_2$/$H_{\infty}$ Control

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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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Three-Axis Autopilot Design for a High Angle-Of-Attack Missile Using Mixed H2/H Control

  • Won, Dae-Yeon;Tahk, Min-Jea;Kim, Yoon-Hwan
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.2
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    • pp.131-135
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    • 2010
  • We report on the design of a three-axis missile autopilot using multi-objective control synthesis via linear matrix inequality techniques. This autopilot design guarantees $H_2/H_{\infty}$ performance criteria for a set of finite linear models. These models are linearized at different aerodynamic roll angle conditions over the flight envelope to capture uncertainties that occur in the high-angle-of-attack regime. Simulation results are presented for different aerodynamic roll angle variations and show that the performance of the controller is very satisfactory.

Feedback Control for Multidimensional Linear Systems and Interpolation Problems for Multivariable Holomorphic Functions

  • Malakorn, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1847-1852
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    • 2004
  • This article provides the connection between feedback stabilization and interpolation conditions for n-D linear systems (n > 1). In addition to internal stability, if one demands performance as a design goal, then there results an n-D matrix Nevanlinna-Pick interpolation problem. Application of recent work on Nevanlinna-Pick interpolation on the polydisk yields a solution of the problem for the 2-D case. The same analysis applies in the n-D case (n > 2), but leads to solutions which are contractive in a norm (the "Schur-Agler norm") somewhat stronger than the $H^{\infty}$ norm. This is an analogous version of the connection between the standard $H^{\infty}$ control problem and an interpolation problem of Nevanlinna-Pick type in the classical 1-D linear time-invariant systems.

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Robust Controller Design for Hydraulic Dipod Platform Based on 2-DOF H Controller Synthesis Framework (2자유도 H 제어기 종합 프레임웍에 기반한 유압식 Dipod 플랫폼의 강인제어기 설계)

  • Lee, Young-Hoon;Cho, Taik-Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.6
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    • pp.805-814
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    • 2013
  • A hydraulic dipod platform is used for tracking and stabilizing an antenna system to designate a satellite on a moving vehicle. The 2-DOF controller is very well suited to this controller design object because it is more flexible than the 1-DOF controller when the design object is not only the consideration between stabilizing and tracking but also the trade-off between performance and robustness. The 2-DOF controller synthesis based on the $H_{\infty}$ framework is divided into two design procedures. In this hydraulic dipod platform example, the single-step method shows better performance whereas the two-step method shows better robustness. The difference between these two synthesis results is compared using the structural property of the interconnection system matrix.

A Study on the Robust Control of Hydraulic Stabilizing System (유압 안정화시스템의 강인제어에 관한 연구)

  • 조택동;서송호;양상민
    • Journal of the Korea Institute of Military Science and Technology
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    • v.2 no.2
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    • pp.226-233
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    • 1999
  • A transmitting antenna mounted on the naval vessels can be easily exited by exogenous disturbances such as wave and impact. Gimbal system need for the controller to maintain the robust performance against various modeling uncertainties and disturbances. PI controller, however, cannot supply good robust performance under situation. Thus a robust $H_{\infty}$ control scheme is used to ensure a specified dynamic response under above conditions. Gimbal system controlled simplified as 2 DOF system that ignored coordinate co-relations of each direction and hydraulic system is linearly modelled. In this paper, we compared those of simulation to the results of experiment and H$_{\infty}$ controller, proposed, showed the good response and stability than PI controller.

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Robust autopilot design for submarine vehicles (강인제어법을 통한 잠수함의 자동항법장치 설계)

  • You, Sam-Sang
    • Journal of Ocean Engineering and Technology
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    • v.11 no.3
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    • pp.180-190
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    • 1997
  • 잠수함이 저심도 조건에서 특수임무 수행시, 표면파도 및 조류등 외란의 영향하에서 요구심도 및 위치 유지를 위한 강인한 자동항법장치 설계는, 첨단 군용 잠수함 개발에 필수적이다. 본 연구는 잠수함 조종 운동역학계에 기초하여, 정확한 심도 및 피치 운동 제어를 위해 선형 행렬 부등식을 이용한 혼합 $H_2/H_{\infty}$ 설계법을 사용, 다중 목적 함수로 표현된 잠수함의 조종성능들을 개선하였다. 또한, 제어기 설계법의 타당성을 수치 시뮬레이션을 통하여 검증하였다. 결과적으로 본 제어법은 각종 외란 및 계의 불확실성하에서 잠수정의 만족스러운 과도 상태 응답과 일정 심도 유지 및 피치 각도 변동 최소화에 적합한 강인한 방법임이 검증되었다.

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A Study on the Robust Compensator of An Inverted Pendulum Using $H_{\infty}$ Optimal Control Theory ($H_{\infty}$ 최적제어 이론을 이용한 도립진자의 견실한 보상기 설계에 관한 연구)

  • 김대현;정규홍;이석재;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.213-218
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    • 1991
  • A new model which contains the dynamics of the motor system and the kinematics of the timing belt system is derived for an inverted pendulum system in FAPA Lab. Generalized standard compensator configuration(SCC) which contains the variable design parameters Kl, K2, .., K5 is proposed so that any desired design specification can be achieved. The robust controller which has robust property against the influence of sensor noise, system parameter variation and model uncertainty is designed minimizing the H$_{\infty}$-norm of transfer function from exogenous input to controlled output. The method of solving the two Riccati equations in state space and determining the controller uses on iteration method where the unique stabilizing solution to two algebraic Riccati equation must be positive definite and the spectral radius of their product less than .gamma.$^{2}$. Some cases are derived by varying the design parameter for simulation on a digital computer and experimenting the H$_{\infty}$- controller on an analog computer. The design parameters of controller which satisfies the desired control specification is selected on the basis of the simulation result and experimenting. The reasonableness and validity of the simulation and the robustness of the controller is established.d.

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The Level Control System Design of the Nuclear Steam Generator for Robustness and Performance

  • Lee, Yoon-Joon;Lee, Heon-Ju;Kim, Kyung-Yeon
    • Nuclear Engineering and Technology
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    • v.32 no.2
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    • pp.157-168
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    • 2000
  • The nuclear steam generator level control system is designed by robust control methods. The feedwater controller is designed by three methods of the H$\infty$, the mixed weight sensitivity and the structured singular value. Then the controller located on the feedback loop of the level control system is designed. For the system performance, the controller of simple PID whose coefficients vary with the power is selected. The simulations show that the system has a good performance with proper stability margins.

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Design of Missile Autopilot using Intelligent Control Techniques (지능 제어 기법을 이용한 유도탄 자동 조종 장치 설계)

  • 김윤식;한웅기;국태용
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.4
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    • pp.458-463
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    • 1998
  • This paper presents an autopilot design method for STT missiles using the intelligent control technique and multiple controllers. The mixed $H_2/H_{\infty}$ control technique is applied for each controller design and the control gains are 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 a 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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Vibration Control of a Glass-Fiber Reinforced Termoplastic Composite Beam (유리섬유를 함유한 열가소성 복합재 보의 진동제어)

  • 권대규;윤여흥;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.11-14
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    • 2000
  • This paper presents the vibration control of a glass-fiber reinforced thermoplastic composite beam with a distributed PVDF sensor and piezo-ceramic achlator. The three types of different controllen which are PID, H$\infty$ , and p-synthesis ontrollcr are employed to achieve vibration suppression in the transient vibration of composite beam. In the H$\infty$ , controller design, 1st and 2nd natural frequencies are considered in the modeling, because robust control theory which has robustness to struchred uncertainty is adopled Lo suppress the vibration. If the controller designed by H$\infty$ , theory does not satisfy control performance, it is improved by $\mu$ -synthesis method with D-K iteration so that the$\mu$-contoller based on the structured singular value satisfies the nominal performance and robust performance Simulations and experiments were carried out with the designed controllers m order to demonstrate the suppression efficiency of each controller.

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