• Title/Summary/Keyword: LQG Control

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Average performance of risk-sensitive controlled orbiting satellite and three-degree-of-freedom structure

  • Won, Chang-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.444-447
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    • 1995
  • The satellite in a circular orbit about a planet with disturbances and a three-degree-of-freedom (3DOF) structure under seismic excitations are modeled by the linear stochastic differential equations. Then the risk-sensitive optimal control method is applied to those equations. The mean and the variance of the cost function varies with respect to the risk-sensitivity parameter, .gamma.$_{RS}$ . For a particular risk-sensitivity parameter value, risk-sensitive control reduces to LQG control. Furthermore, the derivation of the mean square value of the state and control action are given for a finite-horizon full-state-feedback risk-sensitive control system. The risk-sensitive controller outperforms a classical LQG controller in the mean square sense of the state and the control action.

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3-Axis Modeling and Small Angle Maneuver Including Vibration Suppression for a Satellite (인공위성의 3축 모델링과 진동억제를 포함한 소각선회)

  • Lee, D.W.;Cho, K.R.
    • Journal of Advanced Navigation Technology
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    • v.4 no.2
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    • pp.103-113
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    • 2000
  • There are several methods in the mathematical modeling of a satellite with flexible appendages. In this paper, the hybrid Lagrange's equations of motion using assumed modes method are derived. The assumed modes method is one of approximate methods which have shorter calculation time due to low-dimension compare with FEM. These consist of three-equations about angular velocities and two-equations about flexible deformations, and physically represent interaction between hub and solar panel. In an attitude control, a control law is designed to minimize a given performance index considering not only control input but also vibration suppression. For these purpose, this paper applies LQG and LQG/LTR schemes to this model and finally show the capability for attitude control including vibration suppression. Especially, this paper shows the method of assumption as nonsingular system through singular value division for LQG/LTR design.

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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.

Robust Control of a Haptic Interface Using LQG/LTR (LQG/LTR을 이용한 Haptic Interface의 강인제어)

  • Lee, Sang-Cheol;Park, Heon;Lee, Su-Sung;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.9
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    • pp.757-763
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    • 2002
  • A newly designed haptic interface enables an operator to control a remote robot precisely. It transmits position information to the remote robot and feeds back the interaction force from it. A control algorithm of haptic interface has been studied to improve the robustness and stability to uncertain dynamic environments with a proposed contact dynamic model that incorporates human hand dynamics. A simplified hybrid parallel robot dynamic model fur a 6 DOF haptic device was proposed to from a real time control system, which does not include nonlinear components. LQC/LTR scheme was adopted in this paper for the compensation of un-modeled dynamics. The recovery of the farce from the remote robot at the haptic interface was demonstrated through the experiments.

Multirate LQG Control Based on the State Expansion (상태 공간 확장에 의한 멀티레이트 LQG 제어)

  • 이진우;오준호
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.2
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    • pp.131-138
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    • 1999
  • In discrete-time controlled system, sampling time is one of the critical parameters for control performance. It is useful to employ different sampling rates into the system considering the feasibility of measuring system or actuating system. The systems with the different sampling rates in their input and output channels are named multirate system. Even though the original continuous-time system is time-invariant, it is realized as time-varying state equation depending on multirate sampling mechanism. By means of the augmentation of the inputs and the outputs over one Period, the time-varying system equation can be constructed into the time-invariant equation. In this paper, an alternative time-invariant model is proposed, the design method and the stability of the LQG (Linear Quadratic Gaussian) control scheme for the realization are presented. The realization is flexible to construct to the sampling rate variations, the closed-loop system is shown to be asymptotically stable even in the inter-sampling intervals and it has smaller computation in on-line control loop than the previous time-invariant realizations.

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Robust Adaptive Control of Hydraulic Positioning System Considering Frequency Domain Performance (주파수역 성능을 고려한 유압 위치시스템의 강인 적응 제어)

  • Kim, Ki-Bum;Kim, In-Soo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.2
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    • pp.157-163
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    • 2014
  • In this paper, a robust MRAC (model reference adaptive control) scheme is applied to control an electrohydraulic positioning system under various loads. The inverse dead-zone compensator in the control system cancels out the dead-zone response, and an integrator added to the controller provides good position-tracking ability. LQG/LTR (linear quadratic Gaussian control with loop transfer recovery) closed-loop model is used as the reference model for learning the MRAC system. LQG/LTR provides a systematic technique to design the linear controller that optimizes the objective function using some compromise between the control effort and the system performance in the frequency domain. Different external load tests are performed to investigate the effectiveness of the designed MRAC system in real time. The experimental results show that the tracking performance of the proposed system is highly accurate, which offers considerable robustness even with a large change in the load.

LQG Controller Design for Active Suspensions using Evolution Strategy and Neural Network (진화전략과 신경회로망을 이용한 능동 현가장치 LQG 제어기 설계)

  • Cheon, Jong-Min;Kim, Jong-Moon;Park, Min-Kook;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.266-268
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    • 2006
  • In this paper, we design a Linear Quadratic Gaussian(LQG) controller for active suspensions. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Using an optimization-algorithm, Evolution Strategy(ES), we find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies.

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Receding horizon LQG controller with FIR filter

  • Yoo, Kyung-Sang;Shim, Jae-Hoon;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.193-196
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    • 1992
  • When there exist parameter uncertainty, modelling errors and nonminimum phase zeros in control object system. the stability robustness of conventional LQG and LOG/LTR methods are not satisfactory[2, 8]. Since these methods are performed on the infinite horizon, it is very hard to establish exact design parameters and thus they have lots of problems to be applied to real systems, So in this paper we propose RHLQG/FIRF optimal controller which has robust stability against parameter uncertainty, nonminimum phase zeros and modelling errors. This method uses only the information around at present and therefore shows good performance even when we do not know exact design parameters. We here compare LQG and LQG/LTR method with RHLQG/FIRF controller and exemplify that RHLQG/FIRF controller has better robust stability performance via simulations.

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Development of a Heated Vapor Inhalator Using LQG/LTR

  • Jaehoon Rhee;Kwangseok Chae;Changwan Jeon;Park, Joonsoo
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.60.3-60
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    • 2002
  • 1. Introduction 2. The Localized Aerosol Hyperthermia 3. Hardware Development of a Heated Vapor Inhalator 4. Modeling of the Control System 5. The Design of LQG/LTR Controller 6. Conclusion

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The Robust Controller Design for Lateral Control of Vehicles (차량의 횡방향 모델에 대한 강인 제어기 설계)

  • 김은주;하성기;정승권;이만형
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.496-499
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    • 2002
  • The LQG/LTR controller is a robust and stable control which is systematic method with a view of engineering. And the H$^{\infty}$ scheme is adopted for the design of the controller to reduce the effects of the disturbances. In this paper, LQG/LTR and H$^{\infty}$ Controller Design of Lateral Control System for an Automobile is developed with 3 DOF (degree-of-freedom) model. The performance has been compared for the employed two types of controllers via computed simulations. The results show that the H$^{\infty}$ controller provides more robustness property for the disturbances and lower control input.