• 제목/요약/키워드: Robust $H_{\infty}$

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구간시변 지연을 가지는 비선형시스템의 H 필터링 (H Filtering for a Class of Nonlinear Systems with Interval Time-varying Delay)

  • 이상문;유아연
    • 전기학회논문지
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    • 제63권4호
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    • pp.502-508
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    • 2014
  • In this paper, a delay-dependent $H_{\infty}$ filtering problem is investigated for discrete-time delayed nonlinear systems which include a more general sector nonlinear function instead of employing the commonly used Lipschitz-type function. By using the Lyapunov-Krasovskii functional approach, a less conservative sufficient condition is established for the existence of the desired filter, and then, the corresponding solvability condition guarantee the stability of the filter with a prescribed $H_{\infty}$ performance level. Finally, two simulation examples are given to show the effectiveness of the proposed filtering scheme.

$H_\infty$ Control Apprach to a Magnetic Levitation System with Two Poles on $j_\omega$-Axis

  • Qi, Run-De;Tsuji, Teruo;Oguro, Ryuichi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.339-344
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    • 1993
  • An H$_{\infty}$ control system design for a magnetic levitation system is presented. In the control system design, we consider the influence of both disturbances and uncertainties in the model. The main disturbances stem from the position sensors.The uncertainties are divided into electromagnetic and mechanical ones: the former are due to the gain change in the current amplifier, the influence of leakage flux and modelling error in the magnetic circuit and the latter are due to the changes of the mass and the moments of inertia of the vehicle. Therefore, the designed controller is indispensable to guarantee the robustness of this system for both stability and performance. The controller design is based on the standard H$_{\infty}$ optimal control problem. As the novel features in this paper :(1) there are two poles on j.omega.-axis in the control model;(2) an integrator is included in the controller so that equivalently there are three poles on j.omega.-axis in the model. Finally, several experiments and simulations are carried out to verify the high performance and robustness of the designed control system.m.

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Robust Observer Design for an Isolated Power System with Model Uncertainty using H-Norm

  • Goya, Tomonori;Senjyu, Tomonobu;Omine, Eitaro;Yona, Atsushi;Urasaki, Naomitsu;Funabashi, Toshihisa
    • Journal of Power Electronics
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    • 제10권5호
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    • pp.498-504
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    • 2010
  • The output power fluctuations of renewable energy power plants such as wind turbine generators and photovoltaic systems result in frequency deviations and terminal voltage fluctuations. Furthermore, these power fluctuations also affect the turbine shaftings of diesel generators and gas-turbine generators which are the main power generation systems on isolated islands. Therefore, it is important to achieve torsional torque suppression. Since the measurement of torsional torque is technically difficult, and there is an uncertainty in the mechanical constants of the shaft torsional system. This paper presents an estimation system that estimates torsional torque by using a developed $H_{\infty}$ observer. In addition to the above functions, the proposed shaft torque observer incorporates a parameter identification system that aims to improve the estimation accuracy. The simulation results validate the effectiveness of the proposed $H_{\infty}$ observer and the parameter identification.

不確實한 環境에 接觸하는 매니퓰레이터의 强靭制御 (Robust Control of a Manipulator Contacting the Uncertain Environment)

  • 이상무
    • 한국해양공학회지
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    • 제9권2호
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    • pp.175-185
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    • 1995
  • 본 논문은 불확실한 환경에 접촉하는 매니플레이터의 강인 제어법을 제시하였다. 이 제어법은 고차수 보상기를 응용한 표적특성에 $H_{\infty}$ 강인제어 설계법을 적용하여 얻어졌다. 접촉중의 위치와 힘에 대한 강인 안정성과 강인 성능 조건을 유도하였다. 결과에 의하면, 위치제어기는 강인 안정성과 강인 성능 조건을 동시에 향상시킬 수 있으나, 힘 제어기는 그 둘 사이에 최적화가 요구되었다. 강인 성능 제어기를 얻기 위한 최적화 설계기법은 변형 해석 기법을 사용하였으며, 결과의 예를 제시하였다. 이 예에서는 힘제어기의 강인 성능이 설계될 수 있음을 보였다.

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극 영역을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어 (Robust Control of Horizontal-Shaft Magnetic Bearing System considering Pole Assignment Region)

  • 김창화;추만석;양주호
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.21-21
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    • 2000
  • In this paper, we design the state feedback gain using linear matrix inequality(LMI) to the multiobjective synthesis, in the magnetic bearing system with integral type servo system. The design objectives can be a H$\_$$\infty$/ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-lnp pole location. To the end, we investigated the validity of the designed controller through results of simulation.

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Robust Design of Reactor Power Control System with Genetic Algorithm-Applied Weighting Functions

  • Lee, Yoon-Joon;Cho, Kyung-Ho;Kim, Sin
    • Nuclear Engineering and Technology
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    • 제30권4호
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    • pp.353-363
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    • 1998
  • The H$_{\infty}$ algorithms of the mixed weight sensitivity is used for the robust design of the reactor power control system. The mixed weight sensitivity method requires the selection of the proper weighting functions for the loop shaping in frequency domain. The complexity of the system equation and the non-convexity of the problem make it very difficult to determine the weighting functions. The genetic algorithm which is improved and hybridized with the simulated annealing is applied to determine the weighting functions. This approach permits an automatic calculation and the resultant system shows good robustness and performance.

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정밀 모터 제어를 위한 H/W 시스템의 구성 (A Composition of H/W Systems for the Accurate Control of DC Motor)

  • 황현준;윤영대;김동완
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 학술대회 논문집 전문대학교육위원
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    • pp.17-19
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    • 2001
  • In this paper, we constitute H/W systems for the accurate control of DC servo motor. This H/W systems are designed by applying a simple genetic algorithm (SGA) to the robust $H_{\infty}$ control system and the intelligent Fuzzy control system of DC motor, respectively. To verify the effectiveness of the proposed systems, the characteristics of this systems are analysed and simulated.

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대기 속도 센서가 없는 무추력 항공기의 강인 필터 기반의 바람 속도 추정 기법 (Robust Filter Based Wind Velocity Estimation Method for Unpowered Air Vehicle Without Air Speed Sensor)

  • 박용곤종;박찬국
    • 한국항공우주학회지
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    • 제47권2호
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    • pp.107-113
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    • 2019
  • 본 논문에서는 대기 속도 센서가 없는 항공기에서의 강인 필터 기반의 바람 추정 기법을 제안한다. 바람 속도(wind velocity)는 항공기의 유도 및 제어를 더욱 정밀하게 수행하기 위해 사용되는 정보이다. 일반적으로 바람 속도는, 대기 속도와 지면 속도의 차이를 계산하여 얻을 수 있다. 이때 대기 속도는 피토 튜브와 같은 항공기와 대기의 상대 속도를 측정하는 대기 속도 측정 센서에서 얻을 수 있고, 지면 속도는 항법 시스템으로부터 얻을 수 있다. 그러나 항공기의 구성을 간단하게하기 위하여 대기 속도 측정 센서를 장착하지 않는 경우, 바람 속도를 직접적으로 얻을 수 없기 때문에 필터를 이용한 바람 추정 기법이 필수이다. 이때 난류에 의해 항공기의 공력 계수가 변하게 되는데, 이는 바람 추정 필터의 시스템 모델의 불확실성을 유발하게 되고, 결국 바람 추정 성능이 저하된다. 따라서 본 연구에서는 공력계수 불확실성에 강인함을 확보하기 위해 $H{\infty}$ 필터를 적용한 바람 추정 기법을 제안하였다. 시뮬레이션을 통해 제안하는 기법이 공력계수의 불확실성이 있는 상황에서 성능을 개선하는 것을 확인하였다.

비구조적인 불확실성을 가지는 시스템에 대한 반복 제어기의 설계 (Design of a repetitive controller for the system with unstructured uncertainty)

  • 도태용;문정호;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.779-782
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    • 1996
  • Repetitive control is a proposed control strategy in view of the internal model principle and achieves a high accuracy asymptotic tracking property by implementing a model that generates the periodic signals of period into the closed-loop system. Since the repetitive control system contains a periodic signal generator with positive feedback loop, which reduces the stability margin, in the overall closed-loop system, the stability of the closed-loop system should be considered as an important problem. In case that a real system has plant uncertainties which are not represented through modeling, the robust stability problem of the repetitive control system has not been considered sufficiently. In this paper, we propose the robust stability condition for the system with modeling uncertainty. The proposed robust stability condition will be obtained using the robust performance condition in the H$_{\infty}$ control. Moreover, by use of the proposed robust stability condition, we propose a procedure that designs a repetitive controller and a feedback controller simultaneously which can stabilize the overall closed-loop system robustly and which can also do the closedloop system without repetitive controller..

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주파수와 시간영역에서의 강인제어에 관한 연구동향조사 (A Survey of Robust Control in Both Frequency Domain and Time Domain)

  • 정은태;박홍배
    • 제어로봇시스템학회논문지
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    • 제20권3호
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    • pp.270-276
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    • 2014
  • This survey paper reviews robust control problems in both frequency domain and time domain. Robust control is focused on model uncertainties such as modeling error, system parameter variations, and disturbances. Robust control design problems are discussed according to parameter uncertainty, polytopic uncertainty, and norm-bounded uncertainty. Nowadays, robust control theory is combined with various control theory such as model predictive control, adaptive control, intelligent control, and time delay control.