• 제목/요약/키워드: Lyapunov analysis

검색결과 352건 처리시간 0.033초

미지의 시간지연을 갖는 비선형 시스템의 이산시간 퍼지 출력 궤환 제어 (Discrete-Time Output Feedback Control of Nonlinear Systems with Unknown Time-Delay : Fuzzy Logic Approach)

  • 신현석;김은태;박민용
    • 제어로봇시스템학회논문지
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    • 제9권5호
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    • pp.374-378
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    • 2003
  • A new discrete-time fuzzy output feedback control method for nonlinear systems with unknown time-delay is proposed. Ma et al. proposed an analysis and design method of fuzzy controller and observer and Cao et al. extend this result to be applicable fir the nonlinear systems with known time-delay. For the case of unknown time-delay, we derive the sufficient condition f3r the asymptotic stability of the equilibrium Point by applying Lyapunov-Krasovskii theorem and convert this condition into the LMI problem.

Direct and Indirect Robust Adaptive Fuzzy Controllers for a Class of Nonlinear Systems

  • Essounbouli Najib;Hamzaoui Abdelaziz
    • International Journal of Control, Automation, and Systems
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    • 제4권2호
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    • pp.146-154
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    • 2006
  • In this paper, we propose direct and indirect adaptive fuzzy sliding mode control approaches for a class of nonaffine nonlinear systems. In the direct case, we use the implicit function theory to prove the existence of an ideal implicit feedback linearization controller, and hence approximate it to attain the desired performances. In the indirect case, we exploit the linear structure of a Takagi-Sugeno fuzzy system with constant conclusion to establish an affine-in-control model, and therefore design an indirect adaptive fuzzy controller. In both cases, the adaptation laws of the adjustable parameters are deduced from the stability analysis, in the sense of Lyapunov, to get a more accurate approximation level. In addition to their robustness, the design of the proposed approaches does not require the upper bounds of both external disturbances and approximation errors. To show the efficiency of the proposed controllers, a simulation example is presented.

Internet Based Network Control using Fuzzy Modeling

  • Lee, Jong-Bae;Park, Chang-Woo;Sung, Ha-Gyeong;Lim, Joon-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1162-1167
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    • 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.

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Stability Analysis of a Multi-Link TCP Vegas Model

  • Park, Poo-Gyeon;Choi, Doo-Jin;Choi, Yoon-Jong;Ko, Jeong-Wan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1072-1077
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    • 2004
  • This paper provides a new approach to analyze the stability of a general multi-link TCP Vegas, which is a kind of feedback-based congestion algorithm. Whereas the conventional approaches use the approximately linearized model of the TCP Vegas along equilibrium pints, this approach models a multi-link TCP Vegas network in the form of a piecewise linear multiple time-delay system. And then, based on the exactly characterized dynamic model, this paper presents a new stability criterion via a piecewise and multiple delay-dependent Lyapunov-Krasovskii function. Especially, the resulting stability criterion is formulated in terms of linear matrix inequalities (LMIs).

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New Stability Analysis of a Single Link TCP Vegas Model

  • Park, Poo-Gyeon;Choi, Doo-Jin;Choi, Yoon-Jong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.2430-2434
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    • 2003
  • This paper provides a new approach to analyze the stability of TCP Vegas, which is a kind of feedback-based congestion control algorithm. Whereas the conventional approaches use the approximately linearized model of the TCP Vegas along equilibrium points, this approach uses the exactly characterized dynamic model to get a new stability criterion via a piecewise and delay-dependent Lyapunov-Krasovskii function. Especially, the resulting stability criterion is formulated in terms of linear matrix inequalities (LMIs). Using the new criterion, this paper shows that the current TCP Vegas algorithm is stable in the sufficiently wide region of network delay and link capacity.

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입력 토크 포화를 갖는 로봇 매니퓰레이터에 대한 분산 강인 적응 제어 (Decentralized Robust Adaptive Control for Robot Manipulators with Input Torque Saturation)

  • 신진호
    • 제어로봇시스템학회논문지
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    • 제21권12호
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    • pp.1160-1166
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    • 2015
  • This paper proposes a decentralized robust adaptive control scheme for robot manipulators with input torque saturation in the presence of uncertainties. The control system should consider the practical problems that the controller gain coefficients of each joint may be nonlinear time-varying and the input torques applied at each joint are saturated. The proposed robot controller overcomes the various uncertainties and the input saturation problem. The proposed controller is comparatively simple and has no robot model parameters. The proposed controller is adjusted by the adaptation laws and the stability of the control system is guaranteed by the Lyapunov function analysis. Simulation results show the validity and robustness of the proposed control scheme.

표적 추적 성능 최적화 및 충돌 회피를 위한 다수 에이전트 분산 제어 (Decentralized Control of Multiple Agents for Optimizing Target Tracking Performance and Collision Avoidance)

  • 김영주;방효충
    • 제어로봇시스템학회논문지
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    • 제22권9호
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    • pp.693-698
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    • 2016
  • A decentralized control method is proposed to enable a group of robots to achieve maximum performance in multisensory target tracking while avoiding collision with the target. The decentralized control was designed based on navigation function formalism. The study showed that the multiple agent system converged to the positions providing the maximum performance by the decentralized controller, based on Lyapunov and Hessian theory. An exemplary simulation was given for a multiple agent system tracking a stationary target.

Stability analysis of piezopolymer flexible twisting micro-actuator with a linear feedback control

  • Sasaki, M.;Wang, P.K.C.;Fujisawa, F.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.197-201
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    • 1993
  • A method for the closedloop control of the torsional tip motion of a piezo-polymer actuator is presented. The application of Lyapunov's direct, method to the problem is explored. A feedback control of the torsional tip motion of tile piezopolymer actuator is derived by considering tile time rate of change of the total energy of the system. If the angular velocity of the tip of the actuator is known, all the modes of tile actuator can be controlled simultaneously. This approach has tile advantage over the conventional methods in the respect that it allows one to directly with tile system's partial differential equations without resorting to approximations.

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EEG의 잡파 특성 분석 (Artifacts characteristic analysis of EEG)

  • 양은주;조한범;김응수
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 춘계학술대회 및 임시총회
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    • pp.87-90
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    • 2002
  • 뇌파(Electroencephalogram, EEG)는 뇌 신경세포가 정보를 처리하는 과정에서 발생하는 전기적인 신호를 두피 표면에서 측정한 것이다. 이러한 뇌파는 비침습적인 방법으로 전기적인 신호를 측정하며 측정시 여러 잡파(artifact)가 섞이기 쉽다. 이러한 잡파는 뇌의 정보처리과정에 대한 유용한 정보를 담고 있는 뇌파를 분석하는데 방해가 되므로 이를 제거하기 위한 노력이 계속되어 왔다. 그러나 본 연구에서는 보다 적극적인 방향으로 잡파가 섞인 뇌파의 특성을 분석하여 이를 통해 제어 시스템 등과 같은 시스템에 적용할 수 있는 가능성을 알아보았다. 대표적인 잡파인 eye_blinking, eye_rolling, muscle 등이 각각 포함된 뇌파에 대해서 선형 및 비선형 분석을 실시함으로써 유의미한 특성 차이를 나타내었다.

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디지털 시그널 프로세서를 이용한 로봇 매니퓰레이터의 적응-신경제어 (The Adaptive-Neuro Control of Robot Manipulator Using DSPs)

  • 이우송;차보남;김영규;김용태;한성현
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 춘계학술대회 논문집
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    • pp.573-578
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    • 2002
  • In this paper, it Is presented a new scheme of adaptive-neuro control system to implement real-time control of robot manipulator. Unlike the well-established theory for the adaptive control of linear systems, there exists relatively little general theory for the adaptive control of nonlinear systems. Adaptive control technique is essential for providing a stable and robust performance for application of robot control. The proposed neuro control algorithm is one of learning a model based error back-propagation scheme using Lyapunov stability analysis method. Through simulation, the proposed adaptive-negro control scheme is proved to be a efficient control technique for real-time control of robot system using DSPs.

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