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

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A Study on the Fault Detection of an Integrated Servo Actuator (통합 서보 액츄에이터의 고장 감지시스템 연구)

  • 신기현;임광호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.306-312
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    • 1996
  • The performance of the failure detection algorithm may be greatly influenced by the model uncertainty. It is very important to design a robust failure detection system to the model uncertainty. In this paper, a design procedure to generate failure detection algorithm is proposed. The design procedure suggested is based on the concept of the‘threshold selector[1]’. The H$\infty$ control algorithm is used to derive a threshold selector which is robust to the model uncertainty, The threshold selector derived can be used to develop a failure detection system together with the weighted cumulative sum algorithm[3]. Computer simulation study showed that the failure detection system designed for an ISA(Integrated Servo Actuator) system by using the proposed method is robust to the model uncertainty.

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A study on the development of $H_{\infty}$ 2-DOF controller for servo motors (서보모터 제어를 위한 $H_{\infty}$ 2-자유도 제어기 개발에 관한 연구)

  • Park, Sung-Chun;Park, Se-Hwa;Kim, Hee-Jun;Choi, B.W.
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3073-3076
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    • 1999
  • In this paper, $H_{\infty}$ two-degree-of freedom(2-DOF) model following control method is applied for the control of a brushless servo motor to achieve high robust performance. The proposed robust control algorithm designed to meet the robust stability and performances present that the robust control method is superior to conventional control methods in controlling the speed and position of a servo motor. The designed controller is implemented as an outer loop controller to a factory designed motor-servopack system. It is illustrated by simulations that the proposed method is effective to control servo systems.

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Kinematics and Robust PID Trajectory Tracking Control of Parallel Motion Simulator (병렬형 모션 시뮬레이터의 기구학적 해석과 강인 궤적추종 PID 제어기의 설계)

  • Hong, Seong-Il
    • Journal of the Korea Institute of Military Science and Technology
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    • v.10 no.3
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    • pp.161-172
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    • 2007
  • This article suggests an inverse kinematics analysis of a two degree of freedom spatial parallel motion simulator and design methodology of the robust PID controller. The parallel motion simulator consists of a fixed base and a moving frame connected by two serial chains, with each serial chain containing one revolute joint and two passive spherical joint. First, an inverse kinematics problems are solved in order to find the joint variable necessary to bring the end effector to track the desired trajectory. Second, an inverse optimal PID controller is proposed to track trajectories in the face of uncertainty. And the $H_{\infty}$ optimality and robust stability of the closed-loop system is acquired through the PID controller. Finally numerical results show the effectiveness of the PID controller that is designed by square/linear tuning laws.

Robust $H_{\infty}$ Power Control for CDMA Systems in User-Centric and Network-Centric Manners

  • Zhao, Nan;Wu, Zhilu;Zhao, Yaqin;Quan, Taifan
    • ETRI Journal
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    • v.31 no.4
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    • pp.399-407
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    • 2009
  • In this paper, we present a robust $H_{\infty}$ distributed power control scheme for wireless CDMA communication systems. The proposed scheme is obtained by optimizing an objective function consisting of the user's performance degradation and the network interference, and it enables a user to address various user-centric and network-centric objectives by updating power in either a greedy or energy efficient manner. The control law is fully distributed in the sense that only its own channel variation needs to be estimated for each user. The proposed scheme is robust to channel fading due to the immediate decision of the power allocation of the next time step based on the estimations from the $H_{\infty}$ filter. Simulation results demonstrate the robustness of the scheme to the uncertainties of the channel and the excellent performance and versatility of the scheme with users adapting transmit power either in a user-centric or a network-centric efficient manner.

The $H_{\infty}$ control of the uncertainty for the hydraulic fluid valve-motor system (유압 밸브-모터 시스템의 불확실성에 대한 $H_{\infty}$ 제어)

  • Kim, D.S.;Lee, J.H.;Yoo, S.H.;Lee, C.W.
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.676-681
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    • 2000
  • This study describes a hydraulic fluid property compensator under the various operating conditions. Because hydraulic fluid systems have much more excellent features than other control systems, they are used in many fields. However, the characteristics of hydraulic fluid are changed due to various operating conditions. This phenomenon is called uncertainty. Especially, bulk modulus is considered as the most dominant parameter in this study. Under the wide range of temperature and pressure, bulk modulus is changed. In order to overcome the uncertainty, $H_{\infty}$ technique will be used for this study. Spectral factorization, model-matching problem and controller parametrization are also applied to achieve the desired robust control action. Designed controller using the $H_{\infty}$ technique, is adopted for the hydraulic fluid valve-motor system.

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H$\infty$ Optimal Controller Synthesis for an electromechanical actuator system (전기 기계 구동 시스템에 대한 H$\infty$ 최적 제어기 구성)

  • 김용규;유창근
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.1117-1120
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    • 1999
  • In this paper, we design the H$\infty$ optimal controller satisfying robust stability and performance in spite of the plant uncertainty for an electro-mechanical actuator system and analyze the controller in frequency domain. H$\infty$ optimal controller K was designed using iteration algorithm suggested by DOYLE. Using the controller in an electro-mechanical actuator system, the joint with very small coupling rigidity coefficient was used to vary the control parameter. The plant unstructured uncertainty was assumed to be a multiplicative type.

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$H_{\infty}$ Self-Tuning Control of a Flexible Link Robot with Unknown Payload (미지 부하 질량을 갖는 유연 링크 로봇의 $H_{\infty}$ 자기 동조 제어)

  • Han, Ki-Bong;Lee, Shi-Bok
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.160-168
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    • 1997
  • A $H_{\infty}$self-tuning control scheme for the tip position of a flexible link robot handling unknown loads is presented here. The scheme essentially comprises a recursive least-squares identification algorithm and $H_{\infty}$self-tunning controller. The $H_{\infty}$control low is designed to be robust to uncertain parameters and the self-tunning action provides adaption to unknown parameters. Through numerical study, the performance comparison of the $H_{\infty}$self-tuning controller with a constant gain $H_{\infty}$controller as well as a LQG self-tuning controller clearly shows its superior ability in handling load changes in quiescent states.nt states.

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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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Design of the H Current Controller Based on the PSO Algorithm for Reducing the Current Ripple Caused by the Saliencies of SPMSM (SPMSM 인덕턴스 돌극성에 의한 전류리플 저감을 위한 PSO 알고리즘 기반의 H 전류 제어기 설계)

  • Lee, Kwan-Hyung;Young, Jeon-Chan;Lim, Dong-Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.10
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    • pp.1425-1435
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    • 2013
  • The useful method for determining parameters of weighting functions used to design the $H_{\infty}$ current controller for attenuating the current ripple due to saliencies which SPMSM(Surface Permanent Magnet Synchronous Motor) also incorporates is described. To analyze the effect, the current ripple due to the structural and the saturation saliencies, the SPMSM model with nonlinear inductance function depending on the two independent variables, rotor position and stator current is simulated. After analysis, parameters of the weighting functions for $H_{\infty}$ current controller is selected to satisfy the robust stability, robust performance and specific performance in time and frequency domain by using the PSO(Particle Swarm Optimization) algorithm in the linear SPMSM model. Especially, the robust performance is proved that the selected weighting functions play a role in reducing the current ripple caused by the saliencies of SPMSM at the desired frequency range by the simple experiment.

Robust Observer Design for SDINS In-Flight Alignment (스트랩다운 관성항법시스템의 주행 중 정렬을 위한 강인 관측기 구성)

  • Yu, Myeong-Jong;Lee, Jang-Gyu;Park, Chan-Guk;Sim, Deok-Seon
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.8
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    • pp.703-710
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    • 2001
  • The nonlinear observers are proposed for a nonlinear system. To improve the characteristics such as stability, convergence, and $H^{\infty}$ filter performance criterion, we utilize an $H^{\infty}$ filter Riccati equation or a modified $H^{\infty}$ filter Riccati equation with a freedom parameter. Using the Lyapunov function method, the characteristics of the observers are analyzed. Then the in-flight alignment for a strapdown inertial navigation system(SDINS) is designed using the proposed observer. And the additive quaternion error model is especially used to reduce the uncertainty of the SDINS error model. Simulation results show that the observer with the modified $H^{\infty}$ filter Riccati equation effectively improves the performance of the in-flight alignment.

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