• 제목/요약/키워드: LMI Optimization

검색결과 134건 처리시간 0.032초

헬리콥터 시스템의 지능형 디지털 재설계 (Intelligent Digital Redesign for Helicopter System)

  • 성화창;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 B
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    • pp.1811-1813
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    • 2005
  • We represent an efficient intelligent digital redesign method for a Takagi-Sugeno(T-S) fuzzy system. Intelligent digital redesign means that an existing analog fuzzy-model-based controller converts to equivalent digital counter part in the sense of state-matching. The proposed method performs previous work, moreover, it allows to matching the states of the overall closed-loop T-S fuzzy system with the predesigned analog fuzzy-model-based controller. And the problem of stability represent convex optimization problem and cast into linear matrix inequality(LMI) framework. This method applies to the helicopter systems which are the nonlinear plant and determine the feasibility and effectiveness of the proposed method.

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Aerodynamic numerical analysis with linear matrix inequality theorem of intelligent control

  • C.C. Hung;T. Nguyen
    • Advances in aircraft and spacecraft science
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    • 제10권2호
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    • pp.159-177
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    • 2023
  • In this paper we proposed the aerodynamic numerical analysis with linear matrix inequality theorem of intelligent control, which is believed to be applicable in the application not only a function of the block size and reduced wind speed but itself depends on both the size and the aspect ratio of the structure, not on the total scruton number. In order to improve the accuracy of the results, the optimization curve was optimized for the test to evaluate the response in the time of achieving the results and we focus on the results that found a significant influence from the assumptions used for damage propagation for aircraft structural analysis of composite materials. Finally, the numerical simulations confirmed the effectiveness of the method.

GWO-based fuzzy modeling for nonlinear composite systems

  • ZY Chen;Yahui Meng;Ruei-Yuan Wang;Timothy Chen
    • Steel and Composite Structures
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    • 제47권4호
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    • pp.513-521
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    • 2023
  • The goal of this work is to create a new and improved GWO (Grey Wolf Optimizer), the so-called Robot GWO (RGWO), for dynamic and static target tracking involving multiple robots in unknown environmental conditions. From applying ourselves with the Gray Wolf Optimization Algorithm (GWO) and how it works, as the name suggests, it is a nature-inspired metaheuristic based on the behavior of wolf packs. Like other nature-inspired metaheuristics such as genetic algorithms and firefly algorithms, we explore the search space to find the optimal solution. The results also show that the improved optimal control method can provide superior power characteristics even when operating conditions and design parameters are changed.

선형 행렬 부등식을 이용한 TS 퍼지 분류기 설계 (TS Fuzzy Classifier Using A Linear Matrix Inequality)

  • 김문환;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제14권1호
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    • pp.46-51
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    • 2004
  • 본 논문에서는 선형행렬 부등식을 이용한 TS 퍼지 분류기 설계 방법을 제안한다. TS 퍼지 분류기를 설계하기 위해 퍼지규칙의 후반부 파라메터가 분류기의 성능을 최대로 하도록 동정되어야 한다. 이러한 동정 문제를 해결하기 위해 볼록 최적화 기법이 사용되었다. 후반부 파라메터 동정 문제는 볼록 최적화 문제로 변환되며, 선형행렬 부등식으로 표현된다. 선형행렬 부등식으로 표현된 볼록 최적화 문제는 일반 고유값 문제로 근사화 되며, 일반 고유값 문제를 최적화함으로써 최소의 분류 에러를 가지는 최적의 후반부 파라메터가 결정된다. 제안된 분류기의 성능을 평가하기 위해 IRIS 데이터와 Wisconsin Breast Cancer Database 데이터에 대한 분류기의 성능을 모의 실험을 통해 확인하였다. 마지막으로, 모의 실험 결과 제안된 TS 퍼지 분류기의 성능의 우수성을 확인할 수 있었다.

Development of Optimal Control System for Air Separation Unit

  • Ji, Dae-Hyun;Lee, Sang-Moon;Kim, Sang-Un;Kim, Sun-Jang;Won, Sang-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.524-529
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    • 2004
  • In this paper, We described the method which developed the optimal control system for air separation unit to change production rates frequently and rapidly. Control models of the process were developed from actual plant data using subspace identification method which is developed by many researchers in resent years. The model consist of a series connection of linear dynamic block and static nonlinear block (Wiener model). The model is controlled by model based predictive controller. In MPC the input is calculated by on-line optimization of a performance index based on predictions by the model, subject to possible constraints. To calculate the optimal the performance index, conditions are expressed by LMI(Linear Matrix Inequalities).In order to access at the Bailey DCS system, we applied the OPC server and developed the Client program. The OPC sever is a device which can access Bailey DCS system.The Client program is developed based on the Matlab language for easy calculation,data simulation and data logging. Using this program, we can apply the optimal input to the DCS system at real time.

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멀티레이트 샘플치 시스템: 최적 디지털 재설계 기법 (Multirate Sampled-Data Control System: Optimal Digital Redesign Approach)

  • 김도완;박진배;장권규;추영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.708-710
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    • 2004
  • This paper studies a multirate sampled-data control for LTI systems by using the digital redesign (DR) method. In this note, to well tackle the problem associated with both the state matching and the stabilization, our nobel strategy is to minimize the linear quadratic cost function. The main features of the proposed method are that i) the delta-operator-based descretization method is applied to improve the state-matching performance in the fast sampling limit and/or the large input multiplicity; ii) the proposed multirate control scheme can improve the state-matching performance in the long sampling limit; iii) some sufficient conditions that guarantee the stability of the closed-loop discrete-time system and provide a guarantee cost for the cost function can be formulated in the LMIs format; and iv) an optimal sampled-data controller in the sense of minimizing the upper bound of the cost function is also given by means of an LMI optimization procedure.

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선형 행렬 부등식을 이용한 광 디스크 드라이브의 트랙 추종 서보를 위한 반복 제어 (Repetitive Control for Track-Following Servo of an Optical Disk Drive Using Linear Matrix Inequalities)

  • 도태용;문정호
    • 제어로봇시스템학회논문지
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    • 제9권2호
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    • pp.117-123
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    • 2003
  • Rotational machines such as optical disk drives, hard disk drives, and so on are subject to periodic disturbances caused by their mechanical characteristics. In the meanwhile, it is well known that repetitive control rejects periodic disturbance effectively. This paper presents a practical application of repetitive control to the track-following servo of an optical disk drive. The repetitive control system is composed of two repetitive controllers which compensate for periodic disturbances generated by track geometry and eccentric rotation of disk and a feedback controller stabilizing the feedback loop. A robust stability for all plant uncertainties is proved using linear matrix inequalities (LMIs). In the controller design, a weighting function is introduced for the feedback controller to ensure a minimum loop gain and a sufficient phase margin. The repetitive controllers and the feedback controller are designed by solving an optimization problem which can consider the robust stability condition and the system performance. The developed repetitive control system is implemented in the digital control system with a 16-bit fixed-point digital signal processor (DSP). Through simulation and experiment. The feasibility of the proposed repetitive control system is verified.

병렬형 하이브리드 차량의 동적 구간 제어 (Receding Horizon Control of a Parallel Hybrid Electric Vehicle)

  • 전순일;김기백;조성태;박영일;이장무
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.659-664
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    • 2000
  • Fuel-consumption and catalyst-out emissions of a parallel hybrid electric vehicle are affected by operating region of an engine. In many researches, It is generally known that it is profitable in fuel- consumption to operate engine in OOL(Optimal Operating Line). We established the mathematical model of a parallel hybrid electric vehicle, which is linear time-invariant. To operate an engine in OOL, we applied RHC(Receding Horizon Control) to the driving control of a parallel hybrid electric vehicle. And it is known that the RHC has advantages such as good tracking performance under state and control constraints. This RHC is obtained by using linear matrix inequality (LMI) optimization. In this paper, there are three main topics. First, without state and control constraints, the optimal tracking of OOL was simulated. Second, with state and control constraints by engine and motor performances, the optimal tracking of OOL was simulated. In the last, we studied on the optimal gear ratio. That is to say, we combined the RHC and the iterative simulation to extract the optimal gear ratio. In this simulation, the vehicle is commanded to track the reference vehicle trajectory and the engine is operated in the optimal operating region which is made by the state constraints.

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퍼지 모델 기반 피드백 선형화 제어 시스템의 강인 안정성 해석과 설계 (Robust Stability Analysis and Design of Fuzzy Model Based Feedback Linearization Control Systems)

  • 박창우;이종배;김영욱;성하경
    • 전자공학회논문지CI
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    • 제41권3호
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    • pp.79-90
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    • 2004
  • 본 논문에서는 퍼지 피드백 선형화 제어 시스템에 대한 체계적인 강인 안정성 해석과 제어기 설계방법을 제안한다. 제어 대상인 비선형 시스템을 모델링 하는데 있어서 Takagi-Sugeno 퍼지 모델 기법을 이용하고, 이때 발생할 수 있는 모델 불확실성과 외란을 고려한다. 모델링을 통해서 얻어진 폐루프 시스템에 대한 안정성 판별은 Diagonal Norm based Linear Differential Inclusions 으로의 구조 변환을 이용하여 강인 안정성 해석을 하였으며, 퍼지 피드백 선형화 제어 시스템을 안정화시키는 제어기의 이득을 얻기 위하여 LMI 최적화 계산법을 기반으로 한 수치 해석법을 제시하였다. 제안된 방법의 효과를 확인하기 위해서 강인 안정성 해석 및 제어 설계에 대한 모의실험을 수행한다.

컨테이너 크레인의 흔들림 방지장치 개발에 관한 연구 (A Study on the Development of Residual Sway Motion Control System for the Container Crane)

  • 손유식;김영복
    • 한국해양공학회지
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    • 제14권4호
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    • pp.35-42
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    • 2000
  • The sway control problem of the pendulum motion of a container hanging on the trolly, which transports containers from a container ship to trucks, is considered in the paper. In the container crane control problem, suppressing the residual swing motion of the container at the end of acceleration or the case of that the unexpected disturbance input exists is main issue. For this problem, in general, the trolley motion control strategy is introduced and applied. But in this paper, we introduce and synthesize a new type of swing motion control system. In this control system, a small auxiliary mass is installed on the spreader. And the actuator reacts against the auxiliary mass, applying intertial control forces to the container to reduce the swing motion in the desired manner. In this paper, we apply the LMI approach and simultaneous optimization design method to design the anti-swing motion control system for the controlled plant. And the simulation result shows that the proposed control strategy is shown to be robust to disturbances like winds and initial sway motion.

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