• Title/Summary/Keyword: Lyapunov-based control

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Inverse optimal control of nonlinear systems with structural uncertainty (구조적 불확실성을 갖는 비선형 시스템의 역최적제어)

  • Lee, Sang-Hun;Kim, Jin-Soo;Lee, Jong-Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.10
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    • pp.2651-2659
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    • 2009
  • In this paper, inverse optimal control for nonlinear systems with structural uncertainty is considered. The first, the bounded of structural uncertainty is introduced and based on the control Lyapunov function, a theorem for the globally asymptotic stability is presented. From this a less conservative condition for the inverse optimal control is derived. The result is used to design an inverse optimal controller for a class of nonlinear systems, that improves and extends the existing results. The class of nonlinear system considered is also enlarger. The simulation results show the effectiveness of the method.

Stabilization Inverse Optimal Control of Nonlinear Systems with Structural Uncertainty (구조적 불확실성을 갖는 비선형 시스템의 안정화 역최적제어)

  • Cho, Do-Hyeoun;Lee, Chul;Lee, Jong-Yong
    • 전자공학회논문지 IE
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    • v.46 no.4
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    • pp.49-56
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    • 2009
  • In this paper, stabilization inverse optimal control for nonlinear systems with structural uncertainty is considered. Based on the control Lyapunov function, a theorem for the globally asymptotic stability is presented. From this a less conservative condition for the inverse optimal control is derived. The result is used to design an inverse optimal controller for a class of nonlinear systems, that improves and extends the existing results. The class of nonlinear system considered is also enlarger. The simulation results show the effectiveness of the method.

A Robust Adaptive Control of Dual Arm Robot with Eight-Joints Based on DSPs (DSPs 기반 8축 듀얼암 로봇의 견실적응제어)

  • Han, Sung-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.12
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    • pp.1220-1230
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    • 2006
  • In this paper, we propose a flew technique to the design and real-time control of an adaptive controller for robotic manipulator based on digital signal processors. The Texas Instruments DSPs(TMS320C80) chips are used in implementing real-time adaptive control algorithms to provide enhanced motion control performance for dual-arm robotic manipulators. In the proposed scheme, adaptation laws are derived from model reference adaptive control principle based on the improved Lyapunov second method. The proposed adaptive controller consists of an adaptive feed-forward and feedback controller and time-varying auxiliary controller elements. The proposed control scheme is simple in structure, fast in computation, and suitable for real-time control. Moreover, this scheme does not require any accurate dynamic modeling, nor values of manipulator parameters and payload. Performance of the proposed adaptive controller is illustrated by simulation and experimental results for a dual arm robot manipulator with eight joints. joint space and cartesian space.

Controller Design to Coordinate Autonomous Unmanned Surface and Underwater Vehicles (자율형 무인 수상정 및 잠수정의 군집 주행을 위한 제어기 설계)

  • Lee, Jae-Yong
    • Journal of Ocean Engineering and Technology
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    • v.26 no.3
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    • pp.6-12
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    • 2012
  • In this paper, addressed is the control problem of generating a formation for a group of unmanned surface and underwater vehicles. The formation control scheme proposed in this work is based on a fusion of theleader-follower and virtual reference approaches. This scheme gives a formation constraint representation that is independent of the number of vehicles in the formation and the resulting control algorithm is scalable. One of the most important features in controller design is the ability of the controller to globally and exponentially stabilize the formation errors defined by the formation constraints. The proposed controller is based on feedback linearization, and the formation errors are shown to be globally and exponentially stable in the sense of Lyapunov.

Lyapunov Based Adaptive-Robust Control of the Non-Minimum phase DC-DC Converters Using Input-Output Linearization

  • Salimi, Mahdi;Zakipour, Adel
    • Journal of Power Electronics
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    • v.15 no.6
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    • pp.1577-1583
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    • 2015
  • In this research, a combined adaptive-robust current controller is developed for non-minimum-phase DC-DC converters in a wide range of operations. In the proposed nonlinear controller, load resistance, input voltage and zero interval of the inductor current are estimated using developed adaptation rules and knowing the operating mode of the converter for the closed-loop control is not required; hence, a single controller can be employed for a wide load and line changes in discontinuous and continuous conduction operations. Using the TMS320F2810 digital signal processor, the experimental response of the proposed controller is presented in different operating points of the buck/boost converter. During transition between different modes of the converter, the developed controller has a better dynamic response compared with previously reported adaptive nonlinear approach. Moreover, output voltage steady-state error is zero in different conditions.

Robust Adaptive Control of 3D Crane Systems with Uncertainty (불확실성 요소를 갖는 3D 크레인 시스템의 강인적응제어)

  • Jeong, Sang-Chul;Kim, Dong-Won;Lee, Hyung-Ki;Cho, Hyun-Cheol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.1
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    • pp.102-108
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    • 2008
  • This paper presents robust and adaptive control method for complicated three dimensional crane systems with uncertain effect. We consider an overhead crane system in which a trolly located on its top is moved to x- and y-axis independently. We first approximate the complicated crane model through linearization approach to simply construct a PD control and then design an adaptive control system for compensating modeling error and control deviation which is feasibly occurred due to system perturbation in practice. An adaptive control scheme is analytically derived using Lyapunov stability theory for a given bound of system perturbation. We accomplish numerical simulation for evaluation of the proposed control system and demonstrate its superiority comparing with the traditional control strategy.

Vision-Based Robust Control of Robot Manipulators with Jacobian Uncertainty (자코비안 불확실성을 포함하는 로봇 매니퓰레이터의 영상기반 강인제어)

  • Kim, Chin-Su;Jie, Min-Seok;Lee, Kang-Woong
    • Journal of Advanced Navigation Technology
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    • v.10 no.2
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    • pp.113-120
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    • 2006
  • In this paper, a vision-based robust controller for tracking the desired trajectory a robot manipulator is proposed. The trajectory is generated to move the feature point into the desired position which the robot follows to reach to the desired position. To compensate the parametric uncertainties of the robot manipulator which contain in the control input, the robust controller is proposed. In addition, if there are uncertainties in the Jacobian, to compensate it, a vision-based robust controller which has control input is proposed as well in this paper. The stability of the closed-loop system is shown by Lyapunov method. The performance of the proposed method is demonstrated by simulations and experiments on a two degree of freedom 5-link robot manipulators.

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Time delay study for semi-active control of coupled adjacent structures using MR damper

  • Katebi, Javad;Zadeh, Samira Mohammady
    • Structural Engineering and Mechanics
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    • v.58 no.6
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    • pp.1127-1143
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    • 2016
  • The pounding phenomenon in adjacent structures happens in severing earthquakes that can cause great damages. Connecting neighboring structures with active and semi-active control devices is an effective method to avoid mutual colliding between neighboring buildings. One of the most important issues in control systems is applying online control force. There will be a time delay if the prose of producing control force does not perform on time. This paper proposed a time-delay compensation method in coupled structures control, with semi-active Magnetorheological (MR) damper. This method based on Newmark's integration is adopted to mitigate the time-delay effect. In this study, Lyapunov's direct approach is employed to compute demanded voltage for MR dampers. Using Lyapunov's direct algorithm guarantees the system stability to design a controller based on feedback. Because of the strong nonlinearity of MR dampers, the equation of motion of coupled structures becomes an involved equation, and it is impossible to solve it with the common time step methods. In present paper modified Newmark-Beta integration based on the instantaneous optimal control algorithm, used to solve the involved equation. In this method, the response of a coupled system estimated base on optimal control force. Two MDOF structures with different degrees of freedom are finally considered as a numeric example. The numerical results show, the Newmark compensation is an efficient method to decrease the negative effect of time delay in coupled systems; furthermore, instantaneous optimal control algorithm can estimate the response of structures suitable.

Double Sliding Surfaces based on a Sliding Mode Control for a Tracking Control of Mobile Robots (이동 로봇의 추종 제어를 위한 이중 슬라이딩 표면에 기반한 슬라이딩 모드 제어)

  • Lee, Jun Ku;Choi, Yoon Ho;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.6
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    • pp.495-500
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    • 2013
  • This paper proposes a double sliding surfaces based on a sliding mode control for a tracking control of nonholonomic mobile robots in the Cartesian coordinates. In order to remove sliding surface constraints, we design the additional sliding surface for the heading angle with respect to the newly defined coordinates. Then, we define the switching law based on the posture error to combine the designed sliding surface with the previous one. By using the double sliding surfaces and the switching law, we obtain the control law for arbitrary trajectories. It is proved that the position tracking error and the heading direction error asymptotically converge to zero, respectively, with the Lyapunov stability theory. Finally, through computer simulations, we demonstrate the effectiveness of the proposed control system.

Development of the Numerical Procedures for the Control of Linear Periodic Systems (선형 주기시스템의 제어 및 수치해석적 절차 수립에 관한 연구)

  • Jo, Jang-Hyeon
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.12
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    • pp.121-128
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    • 2000
  • The scope of this paper is focused to the systems which have the time period and they should be necessarily studied in the sense of stability and design method of controller to stabilize the orignal unstable systems. In general, the time periodic systems or the systems having same motions during certain time interval are easily found in rotating motion device, i.e., satellite or helicopter and widely used in factory automation systems. The characteristics of the selected dynamic systems are analyzed with the new stability concept and stabilization control method based on Lyapunov direct method. The new method from Lyapunov stability criteria which satisfies the energy convergence is studied with linear algebraic method. And the numerical procedures are developed with computational programming method to apply to the practical linear periodic systems. The results from this paper demonstrate the usefulness in analysis of the asymptotic stability and stabilization of the unstable linear periodic system by using the developed simulation procedures.

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