• Title/Summary/Keyword: $H_2/LQG $/LQG control algorithm

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Robust Hybrid Control System (강인 복합제어 시스템)

  • 박규식;정형조;오주원;이인원
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.442-449
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    • 2003
  • This paper presents a robust hybrid control system for seismic response control of a cable-stayed bridge. Because multiple control devices are operating, a hybrid control system could alleviate some of restirctions and limitations that exist when each system is acting alone. A LQG algorithm with on-off control scheme, H$_2$ and H$_{\infty}$ control algorithms with various frequency weighting filters are used to improve the controller robustness of the active control part in the hybrid control system. The numerital simulation results show that control performances of robust hybrid control systems are similar to those of the hybrid control system with LQG algorithm. Furthermore, it is verified that robust hybrid control systems are more robust than the hybrid control system with LQG algorithm and there are no signs of instabilities in the $\pm$5% stiffness matrix perturbed system. Therefore, the proposed hybrid control system have a good robustness for stiffness matrix perturbation without loss of control effectiveness.

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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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Hybrid Control of a Benchmark Cable-Stayed Bridge Considering Nonlinearity of a Lead Rubber Bearing (납고무받침의 비선형성을 고려한 벤치마크 사장교의 복합제어)

  • Park, Kyu-Sik;Jung, Hyun-Jo;Lee, In-Won
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.4
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    • pp.51-63
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    • 2002
  • This paper presents a hybrid control strategy for seismic protection of a benchmark cable-stayed bridge, which is provided as a testbed structure for the development of strategies for the control of cable-stayed bridges. This benchmark problem considers the cable-stayed bridge that is scheduled for completion in Cape Girardeau, Missouri, USA in 2003. Seismic considerations were strongly considered in the design of this bridge due to the location of the bridge in the New Madrid seismic zone and its critical role as a principal crossing of the Mississippi river. Based on detailed drawings of this cable-stayed bridge, a three-dimensional linearlized evaluation model has been developed to represent the complex behavior of the bridge. A set of eighteen evaluation criteria has been developed to evaluate the capabilities of each control strategy. In this study, a hybrid control system is composed of a passive control system to reduce the earthquake-induced forces in the structure and an active control system to further reduce the bridge responses, especially deck displacements. Conventional base isolation devices such as lead rubber bearings are used for the passive control design and Bouc-Wen model is used to simulate the nonlinear behavior of these devices For the active control design, ideal hydraulic actuators are used and on $H_2$/LQG control algorithm is adopted. Numerical simulation results show that the performance of the proposed hybrid control strategy is quite effective compared to that of the passive control strategy and slightly better than that of the active control strategy. The hybrid control method is also more reliable than the fully active control method due to the passive control part. Therefore, the proposed hybrid control strategy can effectively be used to seismically excited cable-stayed bridges.

Comparative Study on Active Control Algorithms through Weighting Functions (가중함수에 따른 능동제어 알고리듬의 비교 연구)

  • Min, Kyung-Won;Kim, Jin-Koo;Kim, Sung-Choon;Chung, Lan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.173-179
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    • 2001
  • 성능지수는 제어 대상이 되는 구조물의 응답과 제어기의 성능에 관한 가중함수로 구성되어 있다. 따라서 가중함수의 설계에 따라 성능지수가 변화되며 제어 효율이 달라진다. 본 논문에서는 최적 능동제어 알고리듬의 일종인 시간 영역에서의 성능지수를 고려한 LQR기법과 LQG기법 및 주파수 영역에서의 성능지수를 고려한 H₂기법에 대하여 동일한 가중함수를 적용하여 제어 성능인 제어율과 제어력을 비교하는데 목적을 두고 있다. 그러나, LQG기법은 모든 상태 변수를 알아야 하는 LQR기법의 한계를 극복할 수 있으며 LQR기법과 동일 수준의 제어율과 제어력을 보이고 있고 출력 제어라는 장점을 고려하면 현실적인 기법이라고 말할 수 있다. 마지막으로 구조물 응답과 제어기의 주파수 특성을 고려하여 주파수 필터의 가중함수를 설계하는 H₂기법을 분석하였다. H₂기법은 제어력을 저주파수 영역에 집중시킬 수 있기 때문에 구조물 응답을 효과적으로 제어할 수 있는 방법으로 분석되었다.

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A Design of Model Following Optimal Multivariable BOiler-Turbine H_\infty Control System using Genetic Algorithm (유전 알고리즘을 이용한 모델 추종형 최적 다변수 보일러-터빈 H_\infty제어 시스템의 세계)

  • Hwang, Hyeon-Jun;Kim, Dong-Wan;Park, Jun-Ho;Hwang, Chang-Seon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.2
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    • pp.127-135
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    • 1999
  • Multivarialbe Boiler-Turbine H_\infty Control System Genetic Algorithm Weighting Functions $W_1$(s), $W_2$(s), and design parameter $\gamma$ that are given by Glover-Doyle algorithm, to optimally follow the output of reference model. The first method to do this is that the gains of weighting functions $W_1$(s), $W_2$(s), and design parameter are optimized simultaneously by genetic algorithm with the tournament method that can search more diversely, in the search domain which guarantees the robust stability of system. And the second method is that not only by genetic algorithm with the roulette-wheel method that can search more fast, in that search domain. The boiler-turbine H_\infty control system designed by theabove second method has not only the robust stability to a modeling error but also the the better command tracking preformance than those of the H_\infty control system designed by trial-and-error method and the above first method. Also, this boiler-turbine H_\infty control system has the better performance than that of the LQG/LTR contro lsystem. The effectiveness of this boiler-turbineH_\infty control system is verified by computer simulation.

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COMPLEX STOCHASTIC WHEELBASE PREVIEW CONTROL AND SIMULATION OF A SEMI-ACTIVE MOTORCYCLE SUSPENSION BASED ON HIERARCHICAL MODELING METHOD

  • Wu, L.;Chen, H.L.
    • International Journal of Automotive Technology
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    • v.7 no.6
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    • pp.749-756
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    • 2006
  • This paper presents a complex stochastic wheelbase preview control method of a motorcycle suspension based on hierarchical modeling method. As usual, a vehicle suspension system is controlled as a whole body. In this method, a motorcycle suspension with five Degrees of Freedom(DOF) is dealt with two local independent 2-DOF suspensions according to the hierarchical modeling method. The central dynamic equations that harmonize local relations are deduced. The vertical and pitch accelerations of the suspension center are treated as center control objects, and two local semi-active control forces can be obtained. In example, a real time Linear Quadratic Gaussian(LQG) algorithm is adopted for the front suspension and the combination of the wheelbase preview and LQG control method is designed for the rear suspension. The results of simulation show that the control strategy has less calculating time and is convenient to adopt different control strategies for front and rear suspensions. The method proposed in this paper provides a new way for the vibration control of multi-wheel vehicles.

Application of simple adaptive control to an MR damper-based control system for seismically excited nonlinear buildings

  • Javanbakht, Majd;Amini, Fereidoun
    • Smart Structures and Systems
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    • v.18 no.6
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    • pp.1251-1267
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    • 2016
  • In this paper, Simple Adaptive Control (SAC) is used to enhance the seismic response of nonlinear tall buildings based on acceleration feedback. Semi-active MR dampers are employed as control actuator due to their reliability and well-known dynamic models. Acceleration feedback is used because of availability, cost-efficiency and reliable measurements of acceleration sensors. However, using acceleration feedback in the control loop causes the structure not to apparently meet some requirements of the SAC algorithm. In addition to defining an appropriate SAC reference model and using inherently stable MR dampers, a modification in the original structure of the SAC is proposed in order to improve its adaptability to the situation in which the plant does not satisfy the algorithm's stability requirements. To investigate the performance of the developed control system, a numerical study is conducted on the benchmark 20-story nonlinear building and the responses of the SAC-controlled structure are compared to an $H_2/LQG$ clipped-optimal controller under the effect of different seismic excitations. As indicated by the results, SAC controller effectively reduces the story drifts and hence the seismically-induced damage throughout the structural members despite its simplicity, independence of structural parameters and while using fewer number of dampers in contrast with the $H_2/LQG$ clipped-optimal controller.

Dynamic Positioning Control System for Gas & Oil Exploration Platforms Using H$\infty$ Control (H$\infty$ 제어를 이용한 가스 및 석유 탐사용 플랫폼의 동위치 제어)

  • Yoo Hui Ryong;Rho Yong Woo;Park Dae Jin;Koo Sung Ja;Park Seoung Soo;Kim Sang Bong
    • Journal of the Korean Institute of Gas
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    • v.3 no.2 s.7
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    • pp.62-69
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    • 1999
  • This paper presents a design method of dynamic positioning control system(DPS) for floating Platform with rotatable and retractable thrusters using H$\infty$ servo control design method. The norm band of uncertainty is captured by multiplicative perturbation between nominal model and reduced order model. A controller robust to the uncertainty is designed applying H$\infty$ synthesis. The control law satisfying robust stability and nominal performance condition is determined through the mixed sensitivity approach. The control algorithm was evaluated on the basis of computer simulation for a proposed DPS design method and experiments was carried out with an image processing method for measurement of DPS position in a water tank The results of overall experiments show that proposed control method will be good to keep at a specified position. And they are compared with the experimental results by LQG synthesis and H$\infty$ optimal control design method.

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Robust Control of Flexible Structure Using Dynamic Vibration Absorber (동흡진기를 이용한 유연 구조물의 강건제어)

  • Sim Sangdeok;Kang Hoshik;Jong Namheui;Jang Kangseok;Kim Doohoon;Song Ohseop
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.8 s.239
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    • pp.1093-1101
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    • 2005
  • Hybrid mass damper systems have recently been introduced as a dynamic vibration absorber to exploit the benefits of both the conventional tuned mass damper system and the active control system. A hybrid system is programmed to function as either a conventional TMD or as an active system according to the wind conditions and the resultant building and damper mass vibration characteristics. This paper deals with the design of the robust controller for the control of the flexible box structure. The control algorithm was devised based on $H_2$(LQG) robust control logic with acceleration feedback and to improve the capability of the controller Kalman Filter was accepted for the system. To test the ability of the robust controller using the linear motor damper system, performance tests and simulations were carried out on the full-scale steel frame structure. Through the performance tests, it was confirmed that acceleration levels are reduced down.

Hybrid Control Strategies for Seismic Protection of Benchmark Cable-Stayed Bridges (지진하중을 받는 벤치마크 사장교를 위한 복합제어 기법)

  • Park, Kyu-Sik;Jung, Hyung-Jo;Lee, Chong-Heon;Lee, In-Won
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.435-442
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    • 2002
  • 본 연구에서는 사장교의 제어기법 개발을 위한 구조물로 제공되는 벤치마크(benchmark) 사장교에 대해 복합제어 기법을 적용하였다. 이 벤치마크 문제에서는 2003년 완공 예정으로 미국 Missouri 주에 건설 중인 Cape Girardeau 교를 대상 구조물로 고려하였다. Cape Girardeau 교는 New Madrid 지진구역에 위치하고, Mississippi 강을 횡단하는 주요 교량이라는 점 때문에 설계단계에서부터 내진 문제에 대하여 자세하게 고려되었다. 상세 설계도면을 기반으로 하여 교량의 전체적인 거동 특성을 정확하게 나타낼 수 있는 3차원 모델이 만들어졌고, 사장교의 제어 성능에 관련된 평가 기준이 수립되었다. 본 연구에서 사용한 복합제어 기법이란 지진하중으로 인해 구조물에 발생되는 하중을 줄이기 위한 수동제어 기법과 상판변위와 같은 구조물의 응답을 추가적으로 제어하기 위한 능동제어 기법이 결합된 제어방법이다. 수동제어 장치로는 현재 일반적으로 많이 사용되고 있는 납고무받침(lead rubber bearing)을 사용하였다. 능동제어 방법에는 $H_2$/LQG 제어 알고리듬(algorithm)을 사용하였다. 수치해석 결과 제안방법의 성능은 수동제어 방법에 비해 매우 효과적이며, 능동제어 방법에 비해서는 좀더 좋은 제어성능을 나타내었다. 또한, 복합제어 방법은 수동제어 부분 때문에 능동제어 방법에 비해 좀더 신뢰할 수 있는 제어 방법이다. 따라서 제안된 제어방법은 지진하중을 받는 사장교의 제어를 위해 효과적으로 사용될 수 있다.

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