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

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Vibration Control of Steel-Frame Structures by a Linear Motor Damper (선형 모터 댐퍼를 이용한 철골 구조물의 진동제어)

  • 문석준;정태영;임채욱;정정교;박진일;김두훈
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.2
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    • pp.49-58
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    • 2003
  • The linear motor has not only no backlash and less friction, resulting in very high accuracy, but also mechanical simplicity, higher reliability, and longer lifetime. In this study, a large-capacity hybrid mass damper using linear motor principle has been developed to suppress vibration of large structures. It is designated linear motor damper in this paper. The LMD has been designed to be able to move the auxiliary damper mass of 155kg up to $\pm$250mm stroke. A series of performance tests for LMD control system with $H_{winfty}$ robust controller have been carried out on the full-scale steel frame structure. Through the performance tests, it is confirmed that vibration response levels are reduced down 10dB for the first and second modes of the test structure.

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.

Robust decentralized control of structures using the LMI Hcontroller with uncertainties

  • Raji, Roya;Hadidi, Ali;Ghaffarzadeh, Hosein;Safari, Amin
    • Smart Structures and Systems
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    • v.22 no.5
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    • pp.547-560
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    • 2018
  • This paper investigates the operation of the $H_{\infty}$ static output-feedback controller to reduce dynamic responses under seismic excitation on the five-story and benchmark 20 story building with parametric uncertainties. Linear matrix inequality (LMI) control theory is applied in this system and then to achieve the desired LMI formulations, some transformations of the LMI variables is used. Conversely uncertainties due to material properties, environmental loads such as earthquake and wind hazards make the uncertain system. This problem and its effects are studied in this research. Also to decrease the transition of large amount of data between sensors and controller, avoiding the disruption of whole control system and economy problems, the operation of the decentralized controllers is investigated in this paper. For this purpose the comparison between the performance of the centralized, fully decentralized and partial decentralized controllers in uncoupled and coupled cases is performed. Also, the effect of the changing the number of stories in substructures is considered. Based on the numerical results, the used control algorithm is very robust against the parametric uncertainties and structural responses are decreased considerably in all the control cases but partial decentralized controller in coupled form gets the closest results to the centralized case. The results indicate the high applicability of the used control algorithm in the tall shear buildings to reduce the structural responses and its robustness against the uncertainties.

A Study of Robust Vibration Control for a Multi-Layer Structure (다층상구조물의 강인 진동제어에 관한 연구)

  • Kim, Chang-Hwa;Jung, Byung-Gun;Jung, Hae-Jong
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.8
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    • pp.1212-1219
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    • 2009
  • In this paper, a state feedback gain controller using linear matrix inequality(LMI) for the multi-objective synthesis is designed, in the multi-layer structure with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.

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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Robust Torque Control of Internal Combustion Engine Using LMI Technique (수치화 최적화 기법을 이용한 내연기관의 강인한 토크 제어)

  • 김영복;양주호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.4
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    • pp.100-109
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    • 1997
  • Parameters in the internal combustion engines are variable depending on the operating points. Therefore, it is necessary to compensate for the uncertainties. Form this point of view, this paper gives a controller design method and a robust stability condition by LMI approach for engine torque control which satisfies the gives H$\infty$ control performance in the presence of physical parameter perturbations. To the end, the robustness of the system in the presence of perturbation is guaranteed in the all engine operating regions. Its effectiveness is demonstrated by simulation.

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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.

Fault tolerant control for remotely piloted vehicle (원격조종 비행체의 이상허용 제어)

  • Kim, Dae-Woo;Son, Won-Ki;Kwon, Oh-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.6
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    • pp.683-690
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    • 1999
  • This paper deals with a fault-tolerant control method for robust control of RPV(Remotely Piloted Vehicle). To design the flight control system, the 6-DOF simulation program has been developed based on the dynamic model of RPV. A robust fault detection and diagnosis method proposed by Kwon et al. [8]-[10] is adopted to detect the actuator fault of RPV and to make the controller reconfiguration. The Hoo control method is applied to the flight control system. An integrated simulation for performance evaluation of the fault-tolerat\nt control system designed is performed via 6 DOF simulation and shows that the control system works even under the actuator fault.

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$\mu$-Controller Design using Genetic Algorithm (유전알고리즘을 이용한 $\mu$제어기 설계)

  • 기용상;안병하
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.301-305
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    • 1996
  • $\mu$ theory can handle the parametric uncertainty and produces more non-conservative controller than H$_{\infty}$ control theory. However an existing solution of the theory, D-K iteration, creates a controller of huge order and cannot handle the real or mixed real-complex perturbation sets. In this paper, we use genetic algorithms to solve these problems of the D-K iteration method. The Youla parameterization is used to obtain all stabilizing controllers and the genetic algorithms determines the values of the state feedback gain, the observer gain, and Q parameter to minimize $\mu$, the structured singular value, of given system. From an example, we show that this method produces lower order controller which controls a real parameter-perturbed plant than D-K iteration method.

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Robust Controller Design for Parametrically Uncertain System

  • Tipsuwanporn, V.;Piyarat, W.;Witheephanich, K.;Gulpanich, S.;Paraken, Y.
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.92-95
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    • 1999
  • The design problem of the control system is the ability to synthesize controller that achieve robust stability and robust performance. The paper explains the Finite Inclusions Theorem (FIT) by the procedure namely FIT synthesis. It is developed for synthesizing robustly stabilizing controller for parametrically uncertain system. The fundamental problem in the study of parametrically uncertain system is to determine whether or not all the polynomials in a given family of characteristic polynomials is Hurwitz i.e., all their roots lie in the open left-half plane. By FIT it can prove a polynomial is Hurwitz from only approximate knowledge of the polynomial's phase at finitely many points along the imaginary axis. An example shows the simplicity of using the FIT synthesis to directly search for robust controller of parametrically uncertain system by way of solving a sequence of systems of linear inequalities. The systems of inequalities are solved via the projection method which is an elegantly simple technique fur solving (finite or infinite) systems of convex inequalities in an arbitrary Hilbert space. Results from example show that the controller synthesized by FIT synthesis is better than by H$\sub$$\infty$/ synthesis with parametrically uncertain system as well as satisfied the objectives for a considerably larger range of uncertainty.

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