• Title/Summary/Keyword: lyapunov

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Tuning gains of a PID controller using fuzzy logic-based tuners (퍼지 로직 동조기를 이용한 PID 제어기의 이득 조정)

  • 이명원;권순학;이달해
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.184-187
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    • 1996
  • In this paper, an algorithm for tuning gains of a PID controller is proposed. The proposed algorithm is composed of two stages. The first is a stage for Lyapunov function-based initial stabilization of an overall system and rough tuning gains of the PID controller. The other is that for fine tuning gains of the PID controller. All tunings are performed by using the well-known fuzzy logic-based tuner. The computer simulations are performed to show the validity of the proposed algorithm and results are presented.

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Robust compensator design for parametric uncertain systems by separated optimizations (분리최적화 기법을 이용한 강인제어기 설계)

  • 김경수;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.589-592
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    • 1996
  • It is well known that robust compensators designed by the block-diagonal Lyapunov function approaches are conservative while they are popular in practice because of their computational easiness. In this note, we develop a systematized version of conventional block-diagonal Lyapunov function approaches by deriving two separated optimizations based on the guaranteed cost control method. The proposed method generates reasonable robust compensators in practice.

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The uniform observability and the error characteristics for stationary strapdown inertial navigation system (스트랩다운 관성항법시스템의 정지시 균일 관측 가능성 및 오차 특성 분석)

  • 정도형;박찬국;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.676-679
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    • 1996
  • In this paper, the uniform observability and the error characteristics for stationary SDINS error are analyzed. The use of the Lyapunov transformation is proposed for transforming te conventional SDINS error model and the sufficient conditions for the uniform observability of SDINS error model are analytically derived. A complete characterization for the SDINS error characteristics during two position alignment is presented which allows us to predict the performance of two position alignment in SDINS.

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On D-admissibility Conditions of Singular Systems

  • Gao, Lixin;Chen, Wenhai
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.86-92
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    • 2007
  • In this paper, we first establish $D_L$-admissibility and $D_R$-admissibility conditions for singular systems. The admissibility conditions expressed as Lyapunov type inequalities extend the existed results of normal systems to singular systems. As special cases the admissibility conditions of the continuous-time and the discrete-time singular systems can be obtained directly. The results established in this paper can be applied to solve the problems of eigenvalue assignment, regional pole-placement and robust control etc.

Direct Adaptive Control of Nonminimum Phase Systems Using Novel Estimation Algorithm (새로운 추정 알고리즘을 이용한 비최소 위상 시스템의 직접 적응 제어)

  • Lee, Seon-Woo;Kim, Jong-Hwan
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.377-380
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    • 1992
  • This paper proposes a novel direct adaptive pole placement control algorithm which can be applied to continuous time nonminimum phase systems. The algorithm is based on Lyapunov's direct method. By introducing an auxiliary signal, a minimal error model is constructed in state space. Using the error model an estimation law is obtained via Lyapunov's second stability theorem. The global stability of the overall system is established.

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Vibration Control of an Axially Moving Belt by a Nonlinear Boundary Control

  • Park, Ji-Yun;Hong, Keum-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.38.1-38
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    • 2001
  • In this paper, the vibration suppression problem of an axially moving power transmission belt is investigated. The equations of motion of the moving belt is first derived by using Hamilton´s principle for systems with changing mass. The total mechanical energy of the belt system is considered as a Lyapunov function candidate. Using the Lyapunov second method, a nonlinear boundary control law that guarantees the uniform asymptotic stability is derived. The control performance with the proposed control law is simulated. It is shown that a boundary control can still achieve the uniform stabilization for belt systems.

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Robust stability of linear system with unstructured uncertainty (비구조적인 불확정성을 갖는 선형시스템의 강인 안정성)

  • 김진훈;변증남
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.52-54
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    • 1991
  • In this paper, the robust stability, and the quadratic performance of linear uncertain systems are studied. A quadratic Lyapunov function candidate with time-varying matrix is derived to provide robust stability bounds. Also upper bounds of a quadratic performance is given under the assumption that the uncertain system is stable. Both the robust stability bounds and the upper bounds of a quadratic performance are obtained as solutions of a class of modified Lyapunov equations.

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Robust Control of a Robot Manipulator with Revolute Joints (회전 관절형 로봇 매니플레이터의 강인제어)

  • 신규현;이수한
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.9
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    • pp.77-83
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    • 2003
  • In this paper, a robust controller is proposed to control a robot manipulator which is governed by highly nonlinear dynamic equations. The controller is computationally efficient since it does not require the dynamic model or parameter values of a robot manipulator. It, however, requires uncertainty bounds which are derived by using properties of revolute joint robot dynamics. The stability of the robot with the controller is proved by Lyapunov theory. The results of computer simulations show that the robot system is stable, and has excellent trajectory tracking performance.

Decentralized Adaptive Control of Robot Manipulators (로봇 매니퓰레이터의 분산 적응제어)

  • 이용연;신규현;이수한
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.959-962
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    • 2003
  • In this paper, a decentralized adaptive controller is proposed to control robot manipulators which are governed by highly nonlinear dynamic equations. The controller is computationally efficient since it does not require mathematical model or parameter values of robot manipulators. The stability of the manipulators with the controller is proved by Lyapunov theory. The results of computer simulations show that the robot manipulator system is stable, and has excellent trajectory tracking performance.

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Verification on Chaotic Behavior of Cutting Force in Metal Cutting (절삭가공시 절삭력 신호의 카오스적거동에 관한 규명)

  • 구세진
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.96-100
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    • 1996
  • So far the analysis and modeling of cutting process is studied commonly assumed as being linear stochastic or chaotic without experimental verification. So we verified force signals of cutting process(ball end-milling) is low-dimensional chaos by calculating Lyapunov Exponents. reconstructing attractor using time delay coordinates and calcula-ting it's fractal dimension.

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