• Title/Summary/Keyword: LQ control

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LQ-servo PI Controller Design Using Convex Optimization (볼록형 최적화기법을 이용한 LQ-서보형 PI제어기 설계)

  • 이응석;서병설
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.724-727
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    • 1999
  • The previous LQ-servo PI design methods have some serious design problems happened from the frequency matching of the maximum and minimum singular values of loop transfer function at both low and high frequency regions on the Bode plot. To solve these problems, this paper proposes a new design technique based on the inverse-optimal control and convex optimization.

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Frequency Shaped Optimal Control of Semi-active Suspension System Using an MR Damper (자기유변유체를 이용한 반능동형 현가장치의 Frequency shaped 최적 제어)

  • 김기덕;이재형;전도영
    • The Korean Journal of Rheology
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    • v.11 no.2
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    • pp.112-121
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    • 1999
  • An MR(Magneto-Rheological) fluids damper is designed and applied to vibration suppression of a 1/4 car model. The damping constant of MR damper changes according to input current which is controlled in a semi-active way. Several control algorithms are compared in simulations and experiments. The advantage of the proposed Frequency shaped LQ control is that passenger comfort is emphasized in the range of 4~8Hz and driving safety is emphasized around the resonance frequency of unsprung mass.

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Methods of Weighting Matrices Determination of Moving Double Poles with Jordan Block to Real Poles By LQ Control (LQ 제어로 조단블록이 있는 중근을 실근으로 이동시키는 가중행렬 결정 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.6
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    • pp.634-639
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    • 2020
  • In general, the stability and response characteristics of the system can be improved by changing the pole position because a nonlinear system can be linearized by the product of a 1st and 2nd order system. Therefore, a controller that moves the pole can be designed in various ways. Among the other methods, LQ control ensures the stability of the system. On the other hand, it is difficult to specify the location of the pole arbitrarily because the desired response characteristic is obtained by selecting the weighting matrix by trial and error. This paper evaluated a method of selecting a weighting matrix of LQ control that moves multiple double poles with Jordan blocks to real poles. The relational equation between the double poles and weighting matrices were derived from the characteristic equation of the Hamiltonian system with a diagonal control weighting matrix and a state weighting matrix represented by two variables (ρd, ϕd). The Moving-Range was obtained under the condition that the state-weighting matrix becomes a positive semi-definite matrix. This paper proposes a method of selecting poles in this range and calculating the weighting matrices by the relational equation. Numerical examples are presented to show the usefulness of the proposed method.

DESIGN OF AN $H^{\infty}$ CONTROLLER WITH PREVIEW

  • Choi, Chintae;Kim, Jong-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.44-47
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    • 1996
  • An optimal preview controller based on the discrete-time $H_{.inf}$ control is presented. The preview controller is synthesized by considering the bounded unknwon disturbances as well as previewable commands and disturbances. The controller derivation procedure is analogous to the LQ-based scheme. The designed preview gain matrix has a similar structure as the LQ-based one. As the infinity norm .gamma. of the transfer function matrix tends to .inf., the preview gains obtained by $H_{\infty}$ control method approach to the gains by the LQR. The LQ-based preview gains are verified to be subsets of the $H_{.inf}$ -based preview gains..

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RCGA-Based Parameter Estimation and Stabilization Control of an Inverted Pendulum System (RCGA를 이용한 도립진자 시스템의 파라미터 추정 및 안정화 제어)

  • Ahn, Jong-Kap;Lee, Yun-Hyung;Yoo, Heui-Han;So, Myung-Ok;Jin, Gang-Gyoo
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.6
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    • pp.746-752
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    • 2006
  • This paper presents a scheme for the parameter estimation and stabilization of unstable systems, such as inverted pendulum systems. First a stable feedback loop is constructed for an inverted pendulum system and then its parameters are estimated based on input-output data, a real-coded genetic algorithm(RCGA) and the model adjustment technique. Then, a PI-type LQ control scheme is designed based on the estimated model. The performance of the proposed algorithm is demonstrated through a set of simulation and experiment.

Inverse Optimal Design of Formation/Velocity Consensus Protocol for Mobile Robots Based on LQ Inverse Optimal Second-order Consensus (LQ-역최적 2차 일치제어에 기반한 이동로봇에 대한 대형·속도일치 프로토콜의 역최적 설계)

  • Lee, Jae Young;Choi, Yoon Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.5
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    • pp.434-441
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    • 2015
  • In this paper, we propose an inverse optimal distributed protocol for the formation and velocity consensus of nonholonomic mobile robots. The communication among mobile robots is described by a simple undirected graph, and the mobile robots' kinematics are considered. The group of mobile robots driven by the proposed protocols asymptotically achieves the desired formation and group velocity in an inverse optimal fashion. The design of the protocols is based on dynamic feedback linearization and the proposed linear quadratic (LQ) inverse optimal second-order consensus protocol. A numerical simulation is given to verify the effectiveness of the proposed scheme.

GA based Selection Method of Weighting Matrices in LQ Controller for SVC (GA를 이용한 SVC용 LQ 제어기의 가중행렬 선정 기법)

  • 허동렬;이정필;주석민;정형환
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.6
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    • pp.40-50
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    • 2002
  • In this paper, we present a GA(Genetic Algorithm) approach to select weighting matrices of an optimal LQ(Linear Quadratic) controller for SVC(Static VAR Compensator). A SVC, one of the FACTS(Flexible AC Transmission System), constructed by a FC(Fixed Capacitor) and a TCR(Thyristor Controlled Reactor), was designed and implemented to improve the damping of a synchronous generator, as well as to control the system voltage Also, a design of LQ controller depends on choosing weighting matrices. The selection of weighting matrices which is not a trivial solution is usually carried out by trial and error. We proposed an efficient method using GA of finding weighting matrices for optimal control law. Thus, we proved the usefulness of proposed method to improve the stability of single machine-infinite bus with SVC system by eigenvalues analysis and simulation.

Optimal Output Tracking Control Simulation for Thrust Control of an Open-cycle Liquid Propellant Rocket Engine (개방형 액체로켓엔진의 추력제어를 위한 최적출력 추종제어 시뮬레이션)

  • Cha, Jihyoung;Cho, Woosung;Ko, Sangho
    • Journal of the Korean Society of Propulsion Engineers
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    • v.24 no.2
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    • pp.52-60
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    • 2020
  • This paper deals with an optimal output tracking control for open-cycle liquid propellant rocket engine. For this purpose, we modeled simplified mathematical model of open-cycle liquid propellant rocket engine and designed optimal output feedback control system using combustion chamber pressure. For design the closed-loop system of open-cycle liquid propellant rocket engine, we designed optimal output feedback linear quadratic tracking control system using the linearized model and demonstrated the performance of the controller through numerical simulation.

The Memory-Enhancing Effects of Liquiritigenin by Activation of NMDA Receptors and the CREB Signaling Pathway in Mice

  • Ko, Yong-Hyun;Kwon, Seung-Hwan;Hwang, Ji-Young;Kim, Kyung-In;Seo, Jee-Yeon;Nguyen, Thi-Lien;Lee, Seok-Yong;Kim, Hyoung-Chun;Jang, Choon-Gon
    • Biomolecules & Therapeutics
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    • v.26 no.2
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    • pp.109-114
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    • 2018
  • Liquiritigenin (LQ) is a flavonoid that can be isolated from Glycyrrhiza radix. It is frequently used as a tranditional oriental medicine herbal treatment for swelling and injury and for detoxification. However, the effects of LQ on cognitive function have not been fully explored. In this study, we evaluated the memory-enhancing effects of LQ and the underlying mechanisms with a focus on the N-methyl-D-aspartic acid receptor (NMDAR) in mice. Learning and memory ability were evaluated with the Y-maze and passive avoidance tests following administration of LQ. In addition, the expression of NMDAR subunits 1, 2A, and 2B; postsynaptic density-95 (PSD-95); phosphorylation of $Ca^{2+}$/calmodulin-dependent protein kinase II (CaMKII); phosphorylation of extracellular signal-regulated kinase 1/2 (ERK 1/2); and phosphorylation of cAMP response element binding (CREB) proteins were examined by Western blot. In vivo, we found that treatment with LQ significantly improved memory performance in both behavioral tests. In vitro, LQ significantly increased NMDARs in the hippocampus. Furthermore, LQ significantly increased PSD-95 expression as well as CaMKII, ERK, and CREB phosphorylation in the hippocampus. Taken together, our results suggest that LQ has cognition enhancing activities and that these effects are mediated, in part, by activation of the NMDAR and CREB signaling pathways.

Design of LQ-PSS for Power System Stability Enhancement using GA (전력계통 안정도 향상을 위한 GA적용 LQ-PSS 설계)

  • Jung, Young-Min;Lee, Seok-Oh;Kim, Hyung-Su;Park, June-Ho;Hwang, Gi-Hyun;Lee, Hwa-Seok
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.128-130
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    • 2001
  • This paper proposes the design of LQ-PSS(linear quadratic power system stabilizer) for improving power system stability using genetic algorithm(GA). We are tuned weighting matriecs of LQ-PSS using GA. To evalute the usefulness of the proposed method. we performed the nonlinear simulation on a single machine infinite system. As results of the simulation. the proposed method shows the better control performance than CPSS(conventional power system stabilizer) in trems of settling time and damping effects.

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