• 제목/요약/키워드: Lyapunov criterion

검색결과 70건 처리시간 0.021초

Smart tracking design for aerial system via fuzzy nonlinear criterion

  • Wang, Ruei-yuan;Hung, C.C.;Ling, Hsiao-Chi
    • Smart Structures and Systems
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    • 제29권4호
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    • pp.617-624
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    • 2022
  • A new intelligent adaptive control scheme was proposed that combines the control based on interference observer and fuzzy adaptive s-curve for flight path tracking control of unmanned aerial vehicle (UAV). The most important contribution is that the control configurations don't need to know the uncertainty limit of the vehicle and the influence of interference is removed. The proposed control law is an integration of fuzzy control estimator and adaptive proportional integral (PI) compensator with input. The rated feedback drive specifies the desired dynamic properties of the closed control loop based on the known properties of the preferred acceleration vector. At the same time, the adaptive PI control compensate for the unknown of perturbation. Additional terms such as s-surface control can ensure rapid convergence due to the non-linear representation on the surface and also improve the stability. In addition, the observer improves the robustness of the adaptive fuzzy system. It has been proven that the stability of the regulatory system can be ensured according to linear matrix equality based Lyapunov's theory. In summary, the numerical simulation results show the efficiency and the feasibility by the use of the robust control methodology.

적분 보상을 포함하는 로봇 매니퓰레이터의 시각 궤환 강인 제어 (A Robust Visual Feedback Control with Integral Compensation for Robot Manipulators)

  • 이강웅;지민석
    • 제어로봇시스템학회논문지
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    • 제12권3호
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    • pp.294-299
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    • 2006
  • This paper studies a visual feedback control scheme for robot manipulators with camera-in-hand configurations. We design a robust controller that compensates for bounded parametric uncertainties of robot mechanical dynamics. In order to reduce steady state tracking error of the robot arms due to uncertain dynamics, integral action is included in the control input. Using the Lyapunov stability criterion, the uniform ultimate boundedness of the tracking error is proved. Simulation and experimental results with a 2-1ink robot manipulator illustrate the robustness and effectiveness of the proposed control algorithm.

헬리콥터 시스템의 퍼지 분산 제어기 설계 (A Decentralized Fuzzy Controller for Experimental Nonlinear Helicopter Systems)

  • 김문환;이호재;박진배;차대범;주영훈
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.141-144
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    • 2001
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (75) fuzzy system using the rigorous tool - Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.

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자유로운 연결 구조를 갖는 복잡 동적망의 동기화 (Synchronization of a Complex Dynamical Network with Free Coupling Matrix)

  • 이태희;박주현;권오민;이상문
    • 전기학회논문지
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    • 제60권8호
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    • pp.1586-1591
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    • 2011
  • This paper considers synchronization problem of a complex dynamical network. For the problem, the virtual target node is chosen as one of nodes in the complex network and only one connection is needed between an isolate target node and virtual target node not any more connections. Moreover, our synchronization scheme does not need additional conditions and information of coupling matrix comparing with existing works. Based on Lyapunov stability theory, a design criterion for a novel adaptive feedback controller for the synchronization between the isolate target node and another nodes of the complex network is proposed. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

연속과 이산시간 폴리토픽 불확실성을 가지는 특이시스템의 산일성 필터링 (Robust Dissipative Filtering for Polytopic Uncertain Singular Systems in Continuous & Discrete Time)

  • 진데니;김종해;오도창
    • 전기학회논문지
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    • 제63권7호
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    • pp.994-1000
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    • 2014
  • This paper considers the problem of continuous and discrete time dissipative filter design method for the singular systems with polytopic uncertainties. Two bounded real lemmas (BRL) for the robust filters of dissipative singular systems along with the polytopic uncertainties are proposed on the basis of Lyapunov criterion. The sufficient conditions for both continuous and discrete time dissipative filter design methods are derived using the obtained BRL by linear matrix inequality (LMI) approach. Finally, the validities of the proposed methods are shown by numerical examples.

삼륜형 전방향 이동로봇을 위한 경로추종 및 방위제어 (Simultaneous path tracking and orientation control for three-wheeled omni-directional robots)

  • 최한수;김동일;송재복
    • 로봇학회논문지
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    • 제10권3호
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    • pp.154-161
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    • 2015
  • Conventional path tracking methods designed for two-wheeled differential drive robots are not suitable for omni-directional robots. In this study, we present a controller which can accomplish more accurate path tracking and orientation correction by exploiting the unconstrained movement capability of omni-directional robots. The proposed controller is proven to be stable using a Lyapunov stability criterion. Various experiments in real environments show that performance of path tracking and orientation correction has improved in the proposed controller.

전환 시스템 접근법을 이용한 구간 시간지연 선형 시스템의 안정성 (Stability of Interval Time-delayed Linear Systems using a Switched System Approach)

  • 김주경;김진훈
    • 전기학회논문지
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    • 제62권5호
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    • pp.673-678
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    • 2013
  • This paper considers the stability of linear systems having an interval time-varying delay using a switched system approach. The time-delay system is converted to the switched system equivalently, and then a stability criterion in the form of linear matrix inequality(LMI) is derived by using a parameter dependent Lyapunov-Krosovskii function(PD-LKF). In constructing a PD-LKF, the decomposition is employed for delay free intervals, and the reduction of conservatism is shown analytically as the number of decomposition increases. Finally, two well-known numerical examples are given to show the reduction of conservatism compared to the recent results.

Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

  • Kim Do-Wan;Park Jin-Bae;Joo Young-Hoon;Kim Sung-Ho
    • International Journal of Control, Automation, and Systems
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    • 제4권4호
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    • pp.506-515
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    • 2006
  • This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

비선형 섭동을 갖는 뉴트럴 시스템의 점근 안정을 위한 지연시간 종속 판별식 (Delay-Dependent Criterion for Asymptotic Stability of Neutral Systems with Nonlinear Perturbations)

  • 박주현
    • 전자공학회논문지SC
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    • 제37권6호
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    • pp.1-6
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    • 2000
  • 본 논문에서는 비선형 섭동을 가지는 뉴트럴 시스템의 점근 안정성에 관하여 고찰한다. 리아프노프 방식을 이용하여 시스템의 안정성을 판별할 수 있는 충분조건을 제시한다. 이 조건은 지연시간에 종속이며, 선형행렬 부등식으로 표시되기 때문에 최적화 알고리즘을 이용하여 부등식 해를 쉽게 구할 수 있다는 장점이 있다. 마지막으로 제시된 이론의 유용성을 보이기 위하여 수치 예제를 보였다.

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상하 카메라를 이용한 무인 지게차의 도킹 (Unmanned Forklift Docking Using Two Cameras)

  • 이상진;송재복
    • 제어로봇시스템학회논문지
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    • 제21권10호
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    • pp.930-935
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    • 2015
  • An unmanned forklift requires precise positioning and pallet detection. Therefore, conventional unmanned forklifts use high-cost sensors to find the exact position of the pallet. In this study, a docking algorithm with two cameras is proposed. The proposed method uses vision data to extract the angle difference between the pallet and the forklift. Then the control law is derived from the extracted angle for successful docking. The extracted angle is compared with the actual angle in the real environment. The control law is tested with the Lyapunov stability test and Routh-Hurwitz stability criterion. Through various experiments, the proposed docking algorithm showed the success rate high enough for real-life applications.