• 제목/요약/키워드: Linear matrix inequality technique

검색결과 76건 처리시간 0.029초

Adaptive Observer-based Fast Fault Estimation

  • Zhang, Ke;Jiang, Bin;Cocquempot, Vincent
    • International Journal of Control, Automation, and Systems
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    • 제6권3호
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    • pp.320-326
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    • 2008
  • This paper studies the problem of fault estimation using adaptive fault diagnosis observer. A fast adaptive fault estimation (FAFE) approximator is proposed to improve the rapidity of fault estimation. Then based on linear matrix inequality (LMI) technique, a feasible algorithm is explored to solve the designed parameters. Furthermore, an extension to sensor fault case is investigated. Finally, simulation results are presented to illustrate the efficiency of the proposed FAFE methodology.

Robust Guaranteed Cost Filtering for Uncertain Systems with Time-Varying Delay Via LMI Approach

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • 제3권1호
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    • pp.27-31
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    • 2001
  • In this paper, we consider the guaranteed cost filtering design method for time-varying delay system with parameter uncertainties by LMI(Linear Matrix Inequality) approach. The objective is to design a stable guaranteed cost filter which minimizes the guaranteed cost fo the closed loop systems in filtering error dynamics. The sufficient conditions for the existence of filter, the guaranteed cost filter design method, and th guaranteed cost upper bound are proposed by LMI technique in terms of all finding variables. Finally, we give an example to check the validity of the proposed method.

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수중글라이더의 최적선형화 모델기반 강인제어기 설계 (Optimal Linearization-Based Robust Controller Design for Underwater Glider)

  • 문지현;이호재
    • 전기학회논문지
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    • 제65권12호
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    • pp.2023-2029
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    • 2016
  • This paper addresses a robust controller design technique for a nonlinear underwater glider with disturbances. We consider the buoyancy and pitching moment as control inputs, which generate additional nonlinearity on the plant dynamics. To deal with the nonlinearity, we utilize the optimal linearization technique. The conditions for the optimal linearization and the controller design are formulated in terms of matrix inequalities. The effectiveness of the proposed method is demonstrated through a simulation.

Dual-rate Digital Controller Design for Continuous-time Linear Systems

  • Park, Poo-Gyeon;Ko, Jeong-Wan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.468-472
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    • 2003
  • The lifting technique is a standard control procedure that is commonly applied to dual-rate systems, where a critical difficulty is that care must be taken so that the resulting equivalent system preserves the causality constraint between the control signal and the measured output. To overcome this difficulty, the most attractive result has been suggested by defining control time sequences as the union of sample and hold time sequences. However, the sacrifice of regular control period scheme results in some serious disadvantages; restrictions on the implementation to hardware and the corresponding inefficient control scheme. On the contrary, this paper proposes a novel dual-rate control technique, which redescribes the system as a control-rate-based system having regular control period and designs the controller, with no causality constraint, through Linear Matrix Inequality (LMI) formulation.

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Digital Fuzzy Control of Nonlinear Systems Using Intelligent Digital Redesign

  • Lee, Ho-jae;Kim, Hag-bae;Park, Jin-bae;Cha, Dae-bum;Joo, Young-hoon
    • 한국지능시스템학회논문지
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    • 제11권7호
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    • pp.621-627
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    • 2001
  • In this paper, a novel and efficient global intelligent digital redesign technique for a Takagi-Sugeno (TS) fuzzy system is addressed. The proposed method should be notably discriminated from the previous works in that in allows us to globally match the states of the closed-loop TS fuzzy system with the pre-designed continuous-time fuzzy-model-based controller and those with the digitally redesigned fuzzy-model-based controller, and further to guarantee the stabilizability by the redesigned controller in the sense of Lyapunov. Sufficient conditions for the global state-matching and the stability of the digitally controller system are formulated in terns of linear matrix inequalities (LMIs). The Duffing-like chaotic oscillator is simulated and demonstrated, to validate the effectiveness of the proposed digital redesign technique, which implies the safe applicability to the digital control system.

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이산시간 비선형 상호결합 시스템을 위한 지능형 분산 관측기 설계 (Intelligent Decentralized Observer Design for Discrete-Time Nonlinear Interconnected Systems)

  • 구근범
    • 한국지능시스템학회논문지
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    • 제27권1호
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    • pp.15-21
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    • 2017
  • 본 논문은 이산시간 비선형 상호결합 시스템에 대한 지능형 분산 관측기 설계 기법을 제안한다. 여기서, 비선형 상호결합 시스템은 미지의 상호결합을 갖는다고 가정한다. 설계하는 지능형 분산 관측기 설계를 위한 문제를 설정하고, 문제를 해결할 수 있도록, 성능함수를 정의한다. 정의된 성능함수를 기반으로, 지능형 분산 관측기 설계 문제를 해결할 수 있는 충분조건을 구하고, 이를 선형 행렬 부등식의 형태로 나타낸다. 마지막으로 모의실험을 통해 제안된 지능형 분산 관측 기법의 성능을 확인한다.

정합조건을 만족하지 않는 선형 시스템에 대한 슬라이딩 모드 제어 (Sliding Mode Control for Linear System with Mismatched Uncertainties)

  • 성재봉;권성하;박승규;정은태
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.25-25
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    • 2000
  • This paper presents a design method of sliding mode control (SMC) for single input linear systems with mismatched uncertainties. We define a virtual state based on the controllable canonical form of the nominal system. And we define a sliding surface for the augmented system with a virtual state. This sliding surface makes it possible to use SMC technique with various types of controllers. In this paper, we construct a controller that combines SMC with robust controller. We design a robust controller for the system with only mismatched uncertainties using a form of linear matrix inequality (LMI). We make a virtual state from this robust control input and the states of the nominal system. And we design a sliding mode controller that stabilizes the overall closed-loop system.

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정합조건을 만족하지 않는 선형 시스템에 대한 슬라이딩 모드 제어 (Sliding Mode Control for Linear System with Mismatched Uncertainties)

  • 성재봉;권성하;박승규;정은태
    • 제어로봇시스템학회논문지
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    • 제7권3호
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    • pp.193-197
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    • 2001
  • This paper presents a design method of sliding model control (SMC) for single input linear systems with mismatched uncertainties. We define a virtual state based on the controllable canonical form of the nominal system. And we defined a sliding surface for the augmented system with a virtual state. This sliding surface makes it possible to use the SMC technique with various types of controllers. In this paper, we construct a controller that combines SMC with robust controller. We design a robust controller for the system with mismatched uncertainties using a form of linear matrix inequality(LMI). We make a virtual state from this robust control input and the states of the nominal system. And we design a sliding model controller that stabilizes the overall closed-loop system.

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A Gain-Scheduled Autopilot Design for a Bank-To-Turn Missile Using LMI Optimization and Linear Interpolation

  • Shin, Myoung-Ho;Chung, Myung-Jin;Lee, Chiul-Hwa
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.48.3-48
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    • 2001
  • A gain-scheduled autopilot design for a bank-to-turn (BTT) missile is developed by using the Linear Matrix Inequality (LMI) optimization technique and a state-space lineal interpolation method. The missile dynamics are brought to a quasilinear parameter varying (quasi-LPV) form. Robust linear control design method is used to obtain state feedback controllers for the LPV systems with exogenous disturbances at the frozen values of the scheduling parameters. Two gam-scheduled controllers for the pitch axis and the yaw/roll axis are constructed by linearly interpolating the robust state-feedback gains. The designed controller is applied to a nonlinear six-degree-of-freedom (6-DOF) simulations.

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Periodic Sampled-Data Control for Fuzzy Systems;Intelligent Digital Redesign Approach

  • Kim, D.W.;Joo, Y.H.;Park, J.B.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1492-1495
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    • 2005
  • This paper presents a new linear-matrix-inequality-based intelligent digital redesign (LMI-based IDR) technique to match the states of the analog and the digital T-S fuzzy control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the affine control scheme is employed to increase the degree of freedom; 2) the fuzzy-model-based periodic control is employed; and the control input is changed n times during one sampling period; 3) The proposed IDR technique is based on the approximately discretized version of the T-S fuzzy system; but its discretization error vanishes as n approaches the infinity. 4) some sufficient conditions involved in the state matching and the stability of the closed-loop discrete-time system can be formulated in the LMIs format.

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