• 제목/요약/키워드: LMI theory

검색결과 56건 처리시간 0.022초

선박운동제어를 위한 제어력분배 및 제어기설계에 관한 연구 (Control Allocation and Controller Design for Marine Vessel based on H Control Approach)

  • 지상원;김영복
    • 한국해양공학회지
    • /
    • 제26권3호
    • /
    • pp.20-25
    • /
    • 2012
  • In this paper, the authors propose a new approach to the control problem of marine vessels that are moored or controlled by actuators. The vessel control system is basically based on Dynamic Positioning System (DPS) technology. The main object of this paper is to obtain a more useful control design method for DPS. In this problem, the control allocation is a complication. For this problem, many results have been given and verified by other researchers using a two-step process, with the controller and control allocation design processes carried out individually. In this paper, the authors provide a more sophisticated design solution for this issue. The authors propose a new design method in which the controller design and control allocation problems are considered and solved simultaneously. In other words, the system stability, control performance, and allocation problem are unified by an LMI (linear matrix inequality) based on control theory. The usefulness of the proposed approach is verified by a simulation using a supply vessel model.

TS 퍼지 모델을 이용한 최적 제어기 설계 및 비선형 시스템에서의 응용 (Design of Optimal Controller for TS Fuzzy Models and Its Application to Nonlinear Systems)

  • 장욱;주영훈;박진배
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제49권2호
    • /
    • pp.68-73
    • /
    • 2000
  • This paper addresses the analysis and design of fuzzy control systems for a class of complex nonlinear systems. Firstly, the nonlinear system is represented by Takagi-Sugeno(TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller is composed of two processes. One is to determine the static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative methods for the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method, the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. A numerical simulation example is given to show the effectiveness and feasibiltiy of the proposed fuzzy controller design method.

  • PDF

RC structural system control subjected to earthquakes and TMD

  • Jenchung Shao;M. Nasir Noor;P. Ken;Chuho Chang;R. Wang
    • Structural Engineering and Mechanics
    • /
    • 제89권2호
    • /
    • pp.213-223
    • /
    • 2024
  • This paper proposes a composite design of fuzzy adaptive control scheme based on TMD RC structural system and the gain of two-dimensional fuzzy control is controlled by parameters. Monitoring and learning in LMI then produces performance indicators with a weighting matrix as a function of cost. It allows to control the trade-off between the two efficiencies by adjusting the appropriate weighting matrix. The two-dimensional Boost control model is equivalent to the LMI-constrained multi-objective optimization problem under dual performance criteria. By using the proposed intelligent control model, the fuzzy nonlinear criterion is satisfied. Therefore, the data connection can be further extended. Evaluation of controller performance the proposed controller is compared with other control techniques. This ensures good performance of the control routines used for position and trajectory control in the presence of model uncertainties and external influences. Quantitative verification of the effectiveness of monitoring and control. The purpose of this article is to ensure access to adequate, safe and affordable housing and basic services. Therefore, it is assumed that this goal will be achieved in the near future through the continuous development of artificial intelligence and control theory.

Smart modified repetitive-control design for nonlinear structure with tuned mass damper

  • ZY Chen;Ruei-Yuan Wang;Yahui Meng;Timothy Chen
    • Steel and Composite Structures
    • /
    • 제46권1호
    • /
    • pp.107-114
    • /
    • 2023
  • A new intelligent adaptive control scheme was proposed that combines observer disturbance-based adaptive control and fuzzy adaptive control for a composite structure with a mass-adjustable damper. The most important advantage is that the control structures do not need to know the uncertainty limits and the interference effect is eliminated. Three adjustable parameters in LMI are used to control the gain of the 2D fuzzy control. Binary performance indices with weighted matrices are constructed to separately evaluate validation and training performance using the revalidation learning function. Determining the appropriate weight matrix balances control and learning efficiency and prevents large gains in control. It is proved that the stability of the control system can be ensured by a linear matrix theory of equality based on Lyapunov's theory. Simulation results show that the multilevel simulation approach combines accuracy with high computational efficiency. The M-TMD system, by slightly reducing critical joint load amplitudes, can significantly improve the overall response of an uncontrolled structure.

자기베어링을 이용한 회전축의 최적제어 및 강건제어 (Optimal Control and Robust Control of Rotating Shaft Using Magnetic Bearings)

  • 강호식;정남희;윤일성;송오섭
    • 한국소음진동공학회논문집
    • /
    • 제14권12호
    • /
    • pp.1330-1337
    • /
    • 2004
  • In this study, the equations of motion of a rigid rotor supported by magnetic bearings are derived via Hamilton's principle, and transformed to a state-space form for control purpose. The optimal motion control of rotor magnetic bearing system based on the LQR(linear quadratic regulator) theory is addressed. New schemes related to the selection of the state weighting matrix Q and the control weighting matrix R involved in the quadratic functional to be minimized are proposed. And the robust control of the system with an LMI(linear matrix inequality) based H$_{\infty}$ theory is dealt with in this paper. Loop shapings of TFM (transfer function matrix) are used to increase the performance of control capability of the system. The control abilities of LQR and H$_{\infty}$ controller are compared by simulation and experimental tests and show that the capability of H$_{\infty}$ controller is superior to that of LQR.

The design method research of the control system for Autonomous Underwater Vehicle (AUV) using Linear Matrix Inequality (LMI)

  • Nasuno, Youhei;Shimizu, Etsuro;Aoki, Taro;Yomamoto, Ikuo;Hyakudome, Tadahiro;Tsukioka, Satoshi;Yoshida, Hiroshi;Ishibashi, Shojiro;Ito, Masanori;Sasamoto, Ryoko
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2005년도 ICCAS
    • /
    • pp.1060-1065
    • /
    • 2005
  • An Independent Administrative Corporation Japan Agency for Marine-Earth Science and Technology (JAMSTEC) is developing light-and-small Autonomous Underwater Vehicles (AUV)$^{1)}$, named 'MR-X1' (Marine Robot Experimental 1), which can cruise, investigate and observe by itself without human's help. In this paper, we consider the motion control problem of 'MR-X1' and derive a controller. Since the dynamic property of 'MR-X1' is changed by the influence of the speed, the mathematical model of 'MR-X1' becomes the nonlinear model. In order to design a controller for 'MR-X1', we generally apply nonlinear control theories or linear control theories with some constant speed situation. If we design a controller by applying Linear Quadratic (LQ) optimal control theory, the obtained controller only compensates t e optimality at the designed speed situation, and does not compensate the stability at another speed situations. This paper proposes a controller design method using Linear Matrix Inequalities (LMIs)$^{2),3),4)}$, which can adapt the speed variation of 'MR-X1'. And examples of numerical analysis using our designed controller are shown.

  • PDF

혼합 $H_2/H_{\infty}$제어에 의한 강인한 서보시스템의 설계 -3관성 벤치마크문제의 해법 - (Robust Servo System Design by $H_2/H_{\infty}$ Control - Application to Three Inertia Benchmark Problem-)

  • 최연욱
    • 융합신호처리학회논문지
    • /
    • 제6권3호
    • /
    • pp.148-156
    • /
    • 2005
  • 본 논문은 혼합 $H_2/H_{\infty}$ 제어를 이용한 강인한 서보시스템의 설계법을 제안하고 이것을 3관성 벤치마크문제에 적용하여 이 방법의 유용성을 확인한다. 먼저 내부모델의 원리를 이용하여 혼합 $H_2/H_{\infty}$ 제어기법을 적용할 수 있는 구조를 제안하고 이 구조의 타당성을 검토한다. 다음에 강인한 서보시스템의 설계조건을 각각 $H_2$$H_{\infty}$의 설계사양으로 분리한 뒤 제안된 혼합 $H_2/H_{\infty}$ 설계법에 적용하여 설계를 LMI이론에 의하여 실행한다. 마지막으로 3관성벤치마크 문제에서 부가된 몇 가지의 사양을 제안된 혼합 $H_2/H_{\infty}$법에 맞도록 수정한 뒤 제어기의 설계를 통한 설계사양의 만족도를 확인한다.

  • PDF

Active Vibration Control of a Structure with Output Feedback Based on Simultaneous Optimization Design Method

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
    • /
    • 제14권1호
    • /
    • pp.57-64
    • /
    • 2000
  • Recent advances in the field of control theory have enabled us to design active vibration control systems for various structures. In many studies, the controller used to suppress vibration has been synthesized for the given mathematical model of structure. In these cases, the designer has not been able to utilize the degree of freedom to adjust the structural parameters of the control object. To overcome this problem, so called 'Structure/Control Simultaneous Optimization Method' is used. In this context of view, this paper is concerned with the active vibration control of bridge towers, platforms and ocean vehicles etc. Simultaneous design method is used to achieve optimal system performance. Here, a general framework for the simultaneous design problem of output feedback case is introduced based on LMI (Linear Matrix Inequality). The simulation results show that the proposed design method achieves desirable control performance.

  • PDF

Internet Based Network Control using Fuzzy Modeling

  • Lee, Jong-Bae;Park, Chang-Woo;Sung, Ha-Gyeong;Lim, Joon-Hong
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2004년도 ICCAS
    • /
    • pp.1162-1167
    • /
    • 2004
  • This paper presents the design methodology of digital fuzzy controller(DFC) for the systems with time-delay. We propose the fuzzy feedback controller whose output is delayed with unit sampling period and predicted. The analysis and the design problem considering time-delay become easy because the proposed controller is syncronized with the sampling time. The stabilization problem of the digital fuzzy system with time-delay is solved by linear matrix inequality(LMI) theory. Convex optimization techniques are utilized to solve the stable feedback gains and a common Lyapunov function for designed fuzzy control system. To show the effectiveness the proposed control scheme, the network control example is presented.

  • PDF

퍼지제어 이론을 이용한 샘플된 비선형 시스템의 추적제어에 대한 연구 (Tracking Control of a Sampled Nonlinear System via Fuzzy Logic Theory)

  • 김은태
    • 전자공학회논문지CI
    • /
    • 제40권6호
    • /
    • pp.69-75
    • /
    • 2003
  • 본 논문에서는 퍼지 논리 제어기를 이용한 샘플된 비선형 시스템의 추적제어 방식을 제안한다. 본 논문에서 사용되는 제어대상은 내부 파라미터의 변화와 외부 외란을 모두 경험하는 것으로 한다. 이산시간 적응 퍼지 제어기가 제안되고 그 파라미터는 최근 각광을 받고있는 선형행렬 부등식 방식에 의하여 결정된다. 마지막으로 모의실험을 통하여 제안된 제어기의 타당성을 검증한다.