• 제목/요약/키워드: Robust stability

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LMI에 기초한 $H_{\infty}$ 서보제어를 이용한 AUV의 강인한 자동 심도 및 방향제어 (Robust Depth and Course Control of AUV Using LMI-based $H_{\infty}$ Servo Control)

  • 양승윤;김인수;이만형
    • 한국군사과학기술학회지
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    • 제3권1호
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    • pp.38-46
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    • 2000
  • In this paper, robust depth and course controllers of AUV(autonomous underwater vehicles) using LMI-based H$_{\infty}$ servo control are proposed. The $H_{\infty}$ servo problem is modified to an $H_{\infty}$ control problem for the generalized plant that includes a reference input mode, and then a sub-optimal solution that satisfies a given performance criteria is calculated by LMI(Linear Matrix Inequality) approach. The robust depth and course controllers are designed to be satisfied the robust stability about the modeling error generated from the perturbation of the hydrodynamic coefficients and the robust tracking property under sea wave and tide disturbances. The performances of the designed controllers are evaluated by computer simulations, and these simulation results show the applicability of the proposed robust depth and course controller.

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Robust H$_{\infty}$ Control Method for Bilinear Systems

  • Kim, Beom-Soo;Lim, Myo-Taeg
    • International Journal of Control, Automation, and Systems
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    • 제1권2호
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    • pp.171-177
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    • 2003
  • In this paper, we investigate a robust $H_{\infty}$ state feedback control technique for continuous time bilinear systems with an additive disturbance input. The nonlinear robust $H_{\infty}$control for bilinear systems requires a solution to the state dependent algebraic Riccati equation (SDARE). We present a new robust $H_{\infty}$control technique based on the successive approximation method for solving the SDARE by converting bilinear systems into time-varying linear systems. The proposed control method guarantees robust stability for closed loop bilinear systems. The proposed algorithm is verified by numerical examples.

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.

강인 포화 제어기의 LMI 최적 설계를 이용한 구조물의 능동 진동 제어 (Active Vibration Control of Structure Using LMI Optimization Design of Robust Saturation Controller)

  • 박영진;문석준;임채욱
    • 한국소음진동공학회논문집
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    • 제16권3호
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    • pp.298-306
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    • 2006
  • In our previous paper, we developed a robust saturation controller for the linear time-invariant (LTI) system involving both actuator's saturation and structured real parameter uncertainties. This controller can only guarantee the closed-loop robust stability of the system in the presence of actuator's saturation. But we cannot analytically make any comment on control performance of this controller. In this paper, we suggest a method to use linear matrix inequality (LMI) optimization problem which can analytically explain control performance of this robust saturation controller only in nominal system. The availability of design method using LMI optimization problem for this robust saturation controller is verified through a numerical example for the building with an active mass damper (AMD) system.

무정전전원장치용 단상인버터의 강인한 전압제어기 (Robust Voltage Controller of Single-Phase Inverter for UPS)

  • 구대관;지준근;차귀수;문준희
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2010년도 추계학술대회
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    • pp.298-299
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    • 2010
  • In this paper a robust voltage controller of single-phase inverter for UPS is presented. The voltage controller is designed using ${\mu}-based$ robust control scheme to simultaneously guarantee robust stability and robust tracking performance in presence of filter and load parameter variations. Firstly the robust performance of the resulting controller is theoretically confirmed via ${\mu}-analysis$. Then simulation results for single-phase inverter system with linear and nonlinear loads demonstrate feasibility of the proposed control method providing improved performance - good regulation and fast dynamic response.

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탐색기 주사루프의 2자유도 강인제어기 설계 (Two Degree of Freedom Robust Controller Design of a Seeker Scan-Loop)

  • 이호평;송창섭
    • 한국정밀공학회지
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    • 제12권10호
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    • pp.157-165
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    • 1995
  • The new formulation of designing the two degree of freedom(TDF) robust controller is proposed using $H_{\infty}$optimization and model matching method. In this formulation the feedback controller and feedforward controller are designed in a single step using $H_{\infty}$optimization procedure. Roughly speaking, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while the feedforward controller is used to improve the robust model matching properties of the closed loop system. The proposed formulation will be illustrated and evaluated on a seeker scan-loop. And the performances of TDF robust controller are compared with those of the $H_{\infty}$ controller designed using Loop Shaping Design Procedure proposed by McFarlane and Glover.lover.

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구동기의 동특성을 고려한 로봇매니퓰레이터의 강인제어기 설계 (A robust controller design for robot manipulators with actuator dynamics)

  • 박광석;황동환
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.139-142
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    • 1997
  • In this paper, a robust controller is proposed to achieve an accurate tracking for an uncertain nonlinear plant with actuator dynamics. The extent of parameter uncertainty can be quantified by using linear parameterization technique. A switching controller is proposed to guarantee the global asymptotic stability of the plant. In order to eliminate the chattering caused by the switching controller, a smoothing controller is designed using the boundary layer technique around the sliding surface and guarantees the uniform ultimate boundedness of the tracking error.

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정합조건을 만족하지 않는 불확정 비선형 시스템의 강인 안정화 (Robust stabilization of nonlinear uncertain systems without matching conditions)

  • 주진만;최윤호;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.159-162
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    • 1997
  • This paper describes robust stabilization of nonlinear single-input uncertain systems without matching conditions. We consider nonlinear systems with a vector of unknown constant parameters perturbed about a known value. The approach utilizes the generalized controller canonical form to lump the unmatched uncertainties recursively into the matched ones. This can be achieved via nonlinear coordinate transformations which depend not only on the states of the nonlinear system but also on the control input. Then the dynamic robust control law is derived and the stability result is also presented.

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Robust adaptive fuzzy controller for an inverted pendulum

  • Seo, Sam-Jun;Kim, Dong-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1267-1271
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    • 2003
  • This paper proposes an indirect adaptive fuzzy controller for general SISO nonlinear systems. No a priori information on bounding constants of uncertainties including reconstruction errors and optimal fuzzy parameters is needed. The control law and the update laws for fuzzy rule structure and estimates of fuzzy parameters and bounding constants are determined so that the Lyapunov stability of the whole closed loop system is guaranteed. The computer simulation results for an inverted pendulum system show the performance of the proposed robust adaptive fuzzy controller.

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LMI를 이용한 불확실 비선형 시스템의 강인한 퍼지 제어기 설계 (Design of Robust Fuzzy Controller For Nonlinear System with Uncertainty Using LMI)

  • 전상원;주영훈;이호재;박진배
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.188-190
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    • 2000
  • This paper proposed design of robust fuzzy controller for nonlinear systems in the presence of parametric uncertainties. In the design procedure, we represent the nonlinear system using Takagi-Sugeno fuzzy model. A sufficient condition of the robust stability is presented in the sense of Lyapunov for the TSK fuzzy model with uncertainties. Finally, the effectiveness of proposed controller has been through a result of numerical simulation.

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