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

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$H_\infty$Control Synthesis for Robust Control of a Turbo-Generator (터-빈 발전기의 견실성 제어를 위한$H_\infty$제어 시스템 설계)

  • Chung, Dae-Won;Kim, Kern-Joong
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.622-628
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    • 1999
  • This paper presented to design a robust turbo-generator control system using {{{{ { H}_{$\infty$ } }}}} control synthesis for improving small-signal stability. Application study of{{{{ { H}_{$\infty$ } }}}} control synthesis is more appropriate in this system since a turbo-generator system is usually operated under circumstance of unmeasurable modelling uncertainty and external disturbance. The{{{{ { H}_{$\infty$ } }}}} control theory was briefly reviewed for good understanding and the reasonable approach. The design results are simulated for a case study and to check the system performance in comparison with currently operating Lead/Lag filtered PSS performance.

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$H_{\infty}$ Control of Seeker Scan-Loop using LSDP (LSDP를 이용한 탐색기 주사루프의 $H_{\infty}$ 제어)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.78-86
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    • 1995
  • $H_{\infty}$ Controller of seeker scan-loop is designed using LSDP proposed by McFarlane. The performance and robustness of $H_{\infty}$ controller are analyzed using robustness theorems by Lehtomaki and compared with those of the LQG/LTR controller. Especially, structured singular value .mu. -test of Doyle is used to evaluate robust performance of seeker scan-loop. It is demonstated that seeker scan-loop by $H_{\infty}$ controller is very robust to model uncertainties described by additive and multiplicative perturbations.

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A mixed $H_2/ H_\infty$ digital control of Inverted pendulum system (도립진자 시스템의 혼합$H_2/ H_\infty$ 디지털 제어)

  • 박종우;곽칠성
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.5
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    • pp.1111-1116
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    • 2000
  • The mixed $H_2/ H_\infty$ control method is one of positive approaches to design a controller having both the$H_2$-performance and the $H_\infty$-robust stability. In this paper, Firstly, The tracking Performance to be designed has been represented as $H_2$-norms for the plants with uncertainties. Secondly, $H_\infty$-norm have been set up in order to ensure the robust stabilities. The mixed digital controllers have been designed for an inverted system. The mixed $H_2/ H_\infty$digital controller for the inverted pendulum system was intended to stabilize the unstability of the plant together with the good tracking Performance.

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Robust Trajectory Control of Direct Drive Manipulator based on combining H$\infty$ Controller and Computed Torque Method (구동력 계산법 및 H$\infty$제어를 병용한 직접구동방식 머니퓰레이터의 퀘적제어)

  • Kim, C.K.;Kang, B.S.;Kwak, Y.K.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.10
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    • pp.123-129
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    • 1996
  • Computed torque method has been used for precise trajectory control of the robotic system that involves nonlinear dynamics. It is hard to know exact values of robot system parameters, and the robot arm receives umpredictable interference from the working environment. These disturbances, especially in a direct drive robot, are directly transmitted to actuating motor without reduction. Modelling error and distrubance can cause significant errors in a trajectory tracking problem. In this paper, we propose a new controller that $H_{\infty}$controller is conbined to robot system linearized by computed torque. Simula- tions are made for comparing the performance of the proposed controller with that of a nonlinear $H_{\infty}$ controller proposed by Chen and also computed torque method.hod.

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Robust Positioning Control of a Flexible beam using $H_2/H_{\infty}$ and $\mu$-theory ($H_2$/H$\infty$$\mu$이론을 이용한 유연 빔의 위치제어)

  • 최연욱
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.101-107
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    • 2001
  • The objective of this paper is to present a method for designing robust positioning control systems of a flexible arm using mixed $H_2/H_{\infty}$ and $\mu$ theory. We begin with a description of the flexible arm based on the model identification method and discuss the derivation of the model uncertainty. The validity of the obtained model is confirmed experimentally. Next, a robust controller is designed based on the mixed $H_2/H_{\infty}$ and $\mu$ theory by which we can improve robustness of the entire system. On this occasion, we also propose a general plant formation suitable to mixed $H_2/H_{\infty}$ control and $\mu$-theory. Finally, the effectiveness of the proposed design method is verified through experimentation.

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Robust $H_{\infty}$ Control for Bilinear Systems via State Feedback (상태 피드백에 의한 쌍일차 계통의 강인 $H_{\infty}$ 제어)

  • Kim, Young-Joong;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2037-2039
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    • 2002
  • This paper focuses on robust $H_{\infty}$ control for bilinear systems with time-varying parameter uncertainties via state feedback. The suitable robustly stabilizing feedback control law can be constructed in term of solution to a state variable x-dependent quadratic Riccati equation using successive approximation technique. Also, the state feedback control law robustly stabilizes the plant and guarantees a robust $H_{\infty}$ performance for the closed-loop bilinear system with parameter uncertainties and exogenous disturbance.

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Adaptive Receding Horizon $H_{\infty}$ Controller Design for LPV Systems

  • P., PooGyeon;J., SeungCheol
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.535-535
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    • 2000
  • This paper presents an adaptive receding horizon H$_{\infty}$ controller for the linear parameter varying systems in the deterministic environment, which combines a parameter range estimator and a robust receding horizon H$_{\infty}$ controller using the parameter bounds. Using parameter set inclusion and terminal inequality condition, the closed-loop system stability is guaranteed. It is shown that the stabilizing adaptive receding horizon H$_{\infty}$ controller guarantees the H$_{\infty}$ norm bound.

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Robust $H^{\infty}$ control for parameter uncertain time-varying systems with time-varying delays in state and control input (파라미터 불확실성 시변 시간지연 시스템에 대한 견실 $H^{\infty}$ 제어)

  • 김기태;김종해;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.113-116
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    • 1997
  • In this paper, we present a robust $H^{\infty}$ controller design method for parameter uncertain time-varying systems with disturbance and that have time-varying delays in both state and control. It is found that the problem shares the same formulation with the $H^{\infty}$ control problem for systems without uncertainty. Through a certain differential Riccati inequality approach, a class of stabilizing continuous controller is proposed. For parameter uncertainties, disturbance and time varying delays, proposed controllers the plant and guarantee an $H^{\infty}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally a numerical example is given to demonstrate the validity of the results.ts.

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A Robust $H^{\infty}$ Controller for Active Suspensions Based on a Full-Car Model (차량의 능동형 현가장치를 위한 강인한 $H^{\infty}$ 제어기 설계)

  • Park, Jong-Hyeon;Kim, Young-Seok
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.2
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    • pp.146-154
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    • 2000
  • An $H\infty$ controller is designed for active suspensions of vehicles using 7-degree-of-freedom full-car model. Its performance robustness as well as stability robustness to system parameter variations and unmodelled dynamics are assured through the $\mu$-framework. The performance of the $H\infty$ controller is compared with that of a LQC controller in compute simulations. From the simulations it is found that the active suspension with the $H\infty$ controller reduces the acceleration and motion of the sprung mass in the heaving rolling and pitching directions when the car is driven on a normal road or through an asymmetric bump. The suspension stroke and the road holding capability are also improved with a relatively small level of power consumption. Overall the $H\infty$ controller shows a more robust performance than that of the LQG design.

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Design of a Robust Controller for Vehicle Rollover Prevention (차량 전복 방지를 위한 강인 제어기 설계)

  • Yim, Seong-Jin;Kim, Yong-Moo;Oh, Dong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.11
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    • pp.1311-1318
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    • 2012
  • Vehicle systems are frequently exposed to parameter uncertainties such as vehicle speed and height of center of gravity. If a controller is designed to be robust against these parameter uncertainties, the rollover prevention capability can be considerably enhanced. In this study, robust controllers $H_2$ and $H_{\infty}$ are designed by using LMI for vehicle rollover prevention control in the discrete time domain. Some simulations using CarSim, a reliable simulation tool, are performed to validate the proposed controllers.