• Title/Summary/Keyword: Lyapunov Theory

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A Continuous Robust Control Strategy for the Active Aeroelastic Vibration Suppression of Supersonic Lifting Surfaces

  • Zhang, K.;Wang, Z.;Behal, A.;Marzocca, P.
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.2
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    • pp.210-220
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    • 2012
  • The model-free control of aeroelastic vibrations of a non-linear 2-D wing-flap system operating in supersonic flight speed regimes is discussed in this paper. A novel continuous robust controller design yields asymptotically stable vibration suppression in both the pitching and plunging degrees of freedom using the flap deflection as a control input. The controller also ensures that all system states remain bounded at all times during closed-loop operation. A Lyapunov method is used to obtain the global asymptotic stability result. The unsteady aerodynamic load is considered by resourcing to the non-linear Piston Theory Aerodynamics (PTA) modified to account for the effect of the flap deflection. Simulation results demonstrate the performance of the robust control strategy in suppressing dynamic aeroelastic instabilities, such as non-linear flutter and limit cycle oscillations.

Control of Disturbance Added Servo System Using Fuzzy Controller (Fuzzy 제어기를 이용한 외란부가 Servo System 제어)

  • Kim, Tae-Woo;Lee, Oh-Gul;Chung, Hyeng-Hwan;Lee, Joon-Tark
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.699-702
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    • 1991
  • A servo system requires faster and more accurate dynamic responses. Generally a PD control is mainly used to obtain the precision, and in the other hand a fuzzy control to improve the transient response and to cope with the nonlinearity of systems. Recently hybrid control, which is attempted to combine the advantages of PD control and a Fuzzy control was proposed, but this technique requires complicate design procedures. Therefore in this paper, a Fuzzy controller with a series of membership functions, and various sampling periods and rules, was designed on the basis of Lyapunov stability theory and auto tuning methods of input scale factors. And also it was showed to have the excellent adaptive performances against internal-external disturbances and the usefulness of this controller from the results of simulations.

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Dynamics Analysis of Industrial Robot Using Neural Network (뉴럴네트워크를 이용한 산업용 로봇의 동특성 해석)

  • Lee, Jin
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1997.04a
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    • pp.62-67
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    • 1997
  • This paper reprdsents a new scheme of neural network control system analysis the robustues of robot manipulator using digital signal processors. Digtal signal processors, DSPs, are micro-processors that are particularly developed for fast numerical computations involving sums and products of variables. Digital version of most advanced control algorithms can be defined as sums and products of measured variables, thus it can be programmed and executed through DSPs. In additions, DSPs are a s fast in computation as most 32-bit micro-processors and yet at a fraction of their prices. These features make DSPs a viable computational tool in digital implementation of sophisticated controllers. Durng past decade it was proposed the well-established theorys for the adaptive control of linear systems, but there exists relatively little general theory for the adaptive control of nonlinear systems. The proposed neuro network control algorithm is one of learning a model based error back-propagation scheme using Lyapunov stability analysis method.

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A Robust Speed Control of SR Motor Using Error.Feedback Nonlinear Compensator (오차.되먹임 비선형 보상기를 이용한 SR 모터의 견실한 속도 제어)

  • Lee, Tae-Gyoo;Huh, Uk-Youl
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.4
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    • pp.318-323
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    • 1996
  • The speed of SR(Switched Reluctance) motor can be controlled by switching angle. However, since the relation between speed and switching is nonlinear, it is difficult for simple adjustment schemes to achieve the desired performances. In this paper, an error.feedback nonlinear compensator with robustness is proposed for improving the performances of the switching angle controlled SR motor. The proposed controller consists of integral type control and relay type control. The integral type controller which operates regulation, is derived by the steady.state I/O(input/output) map and the relay type controller which works tracking, is designed by Lyapunov stability theory. The validities of the proposed controller are confirmed with the experimental results.

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Sliding Mode Control with Sliding Sector for Chattering Reduction (채터링 감소를 위한 슬라이딩 섹터를 갖은 슬라이딩 제어)

  • Han, Jong-Kil;Son, Yong-Su
    • The Journal of the Korea institute of electronic communication sciences
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    • v.2 no.3
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    • pp.168-173
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    • 2007
  • Chattering phenomenon is still a large drawback of VSS. To overcome this problem, various approaches have been reported. A new notion of sliding sector has been proposed recently. In this paper, new methods of the nonlinear system control using the sliding sector theory with continued input function in the sector is proposed. This paper analyzes the stability, using Lyapunov function on the sliding sector. computer simulation for inverted pendulum results in elimination of the chattering phenomenon.

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Leader-following Approach Based Adaptive Formation Control for Mobile Robots with Unknown Parameters (미지의 파라미터를 갖는 이동 로봇들을 위한 선도-추종 방법 기반 적응 군집 제어)

  • Moon, Ssurey;Park, Bong-Seok;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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    • pp.1592-1598
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    • 2011
  • In this paper, a formation control method based on the leader-following approach for nonholonomic mobile robots is proposed. In the previous works, it is assumed that the followers know the leader's velocity by means of communication. However, it is difficult that the followers correctly know the leader's velocity due to the contamination or delay of information. Thus, in this paper, an adaptive approach based on the parameter projection algorithm is proposed to estimate the leader's velocity. Moreover, the adaptive backstepping technique is used to compensate the effects of a dynamic model with the unknown time-invariant and time-varying parameters. From the Lyapunov stability theory, it is proved that the errors of the closed-loop system are uniformly ultimately bounded. Simulation results illustrate the effectiveness of the proposed control method.

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

  • Lee, Tae-Hee;Park, Ju-H.;Kwon, Oh-Min;Lee, Sang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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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.

Adaptive observer design for electrically driven mobile robots (전기 구동 이동 로봇을 위한 적응 관측기 설계)

  • Park, Bong-Seok;Choi, Yoon-Ho;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1849_1850
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    • 2009
  • In this paper, we propose an adaptive observer for electrically driven mobile robots in the presence of parametric uncertainties. To estimate the unmeasured velocities of the mobile robot, we develop an adaptive observer using the transformation matrices which can solve the difficulty caused by the quadratic velocity terms depending on the uncertain parameters. Using the Lyapunov stability theory, we prove that all signals in a closed-loop system converge to zero. Finally, the simulation results demonstrate the effectiveness of the proposed observer system.

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Synchronization of Chaos Systems via Sampled-Data Control (카오스 시스템의 동기화를 위한 샘플치 데이터 제어)

  • Lee, Tae-H.;Park, Ju-H.;Kwon, O.M.;Lee, S.M.
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.4
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    • pp.617-621
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    • 2012
  • This paper considers the synchronization problem of chaotic systems. For this problem, the sampled-data control approach is used to achieve asymptotic synchronization of two identical chaotic systems. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the sampled-data feedback controller which achieves the synchronization between chaotic systems. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

A Controller Design of the Bilinear System for HVAC(Heating, Ventilating and Air-conditioning) System (냉난방 시스템의 이중선형 시스템에 관한 제어기 설계)

  • 이정석;강민수;김명호;이기서
    • Journal of the Korean Society for Railway
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    • v.3 no.4
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    • pp.177-184
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    • 2000
  • In this paper, a HVAC controller which has a bilinear system is designed to control the air temperature in building room and a saving of energy on the HVAC system. For modeling of the HVAC bilinear system, AHU(Air Handling Unit) is modeled on the control of inside-outside air flow using three dampers in a duct. A heat exchanger and the single room are also modeled by the energy conservation law. Under the modeling of the HVAC bilinear system, the control's law of the bilinear HVAC system is derived by Lyapunov's non-linear theory and Deress's the linear feedback laws for bilinear system. In this paper it was proved that the controller of the HVAC bilinear system is able to control the air temperature with a disturbance in order to get a target of temperature in the building room by the computer simulation when the control inputs regulate the air flow rate and a capacity of the heat exchanger.

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