• Title/Summary/Keyword: Bang-bang input

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Robust Tracking Control of a Ball and Beam System using Optimal Bang-Bang Input (최적의 Bang-Bang 입력을 이용한 볼-빔 시스템의 강인한 추적 제어)

  • Lee, Kyung-Tae;Choi, Ho-Lim
    • Journal of IKEEE
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    • v.22 no.1
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    • pp.110-120
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    • 2018
  • In this paper, we apply the input-output linearization technique to tracking the follow-up trajectory r(t) in the ball-beam system. There exist system disturbance and various uncertainties, the conventional input-output linearization based control yields some noticeable errors in tracking performance. As a result, a new robust control technique for the uncertainty of the system was proposed and its improved performance verified through simulation and experimental results. So, more realistic system model is obtained with unmatched uncertainties and disturbance. Then, in order to improve the control performance, a new optimal bang-bang control input is additionally added.

Robust Optimal Bang-Bang Controller Using Lyapunov Robust Stability Condition (Lyapunov 강인 안정성 조건을 이용한 강인 최적 뱅뱅 제어기)

  • Park Young-Jin;Moon Seok-Jun;Park Youn-Sik;Lim Chae-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.411-418
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    • 2006
  • There are mainly two types of bang-bang controllers for nominal linear time-invariant (LTI) system. Optimal bang-bang controller is designed based on optimal control theory and suboptimal bang-bang controller is obtained by using Lyapunov stability condition. In this paper, the suboptimal bang-bang control method is extended to LTI system involving both control input saturation and structured real parameter uncertainties by using Lyapunov robust stability condition. Two robust optimal bang-bang controllers are derived by minimizing the time derivative of Lyapunov function subjected to the limit of control input. The one is developed based on the classical quadratic stability(QS), and the other is developed based on the affine quadratic stability(AQS). And characteristics of the two controllers are compared. Especially, bounds of parameter uncertainties which theoretically guarantee robust stability of the two controllers are compared quantitatively for 1DOF vibrating system. Moreover, the validity of robust optimal bang-bang controller based on the AQS is shown through numerical simulations for this system.

Maneuvering and Active Vibration Control of Slewing Flexible Beam using Input Shaper (입력성형기를 이용한 회전 유연보의 조종 및 진동제어)

  • Kwak, Moon-K.;Yang, Dong-Ho;Lee, Jae-Ha
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.04a
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    • pp.701-706
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    • 2012
  • This research is concerned with the derivation of equations of motion for a slewing beam and the application of input shaper to the bang-bang control to achieve vibration suppression. When a uniform beam with a tip mass rotates about the axis perpendicular to the undeformed beam's longitudinal axis, it experiences inertial loading. Hence, the beam vibrates. In this paper, we used the input shaper for the maneuvering control to suppress vibrations. The maneuvering control which can achieve a minimum-time control is a bang-bang control. The input-shaped bang-bang maneuvering is used to suppress vibrations both theoretically and experimentally. The slewing beam experiment is not an easy subject because of the inherent damping existing inside the rotor. We propose the use of a negative damping to eliminate the rotor damping. Numerical and experimental results show that the input-shaper can be effectively used for the vibration suppression of a slewing beam.

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Maneuvering and Active Vibration Control of Slewing Flexible Beam Using Input Shaper (입력성형기를 이용한 회전 유연보의 조종 및 진동제어)

  • Kwak, Moon-K.;Yang, Dong-Ho;Lee, Jae-Ha
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.6
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    • pp.542-549
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    • 2012
  • This research is concerned with the derivation of equations of motion for a slewing beam and the application of input shaper to the bang-bang control to achieve vibration suppression. When a uniform beam with a tip mass rotates about the axis perpendicular to the undeformed beam's longitudinal axis, it experiences inertial loading. Hence, the beam vibrates. In this paper, we used the input shaper for the maneuvering control to suppress vibrations. The maneuvering control which can achieve a minimum-time control is a bang-bang control. The input-shaped bang-bang maneuvering is used to suppress vibrations both theoretically and experimentally. The slewing beam experiment is not an easy subject because of the inherent damping existing inside the rotor. We propose the use of a negative damping to eliminate the rotor damping. Numerical and experimental results show that the input-shaper can be effectively used for the vibration suppression of a slewing beam.

A 10-Gb/s Multiphase Clock and Data Recovery Circuit with a Rotational Bang-Bang Phase Detector

  • Kwon, Dae-Hyun;Rhim, Jinsoo;Choi, Woo-Young
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.16 no.3
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    • pp.287-292
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    • 2016
  • A multiphase clock and data recovery (CDR) circuit having a novel rotational bang-bang phase detector (RBBPD) is demonstrated. The proposed 1/4-rate RBBPD decides the locking point using a single clock phase among sequentially rotating 4 clock phases. With this, our RBBPD has significantly reduced power consumption and chip area. A prototype 10-Gb/s 1/4-rate CDR with RBBPD is successfully realized in 65-nm CMOS technology. The CDR consumes 5.5 mW from 1-V supply and the clock signal recovered from $2^{31}-1$ PRBS input data has 0.011-UI rms jitter.

Development of multi crusher system using the principle of the Yeon-Ja-Bang-A (연자방아의 원리를 이용한 다기능 파쇄기 개발)

  • 조현철;천세영;안태규;양순용
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.215-218
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    • 2004
  • This paper is about a study of development on multi crusher system. This system use the principle of the Yeon-Ja-Bang-A. This system consists of the power part and the power transmit part, the Yeon-Ja Stone part, the crusher part, an input part, an output part. The advantage of this system decrease about working hours and installation aera.

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Nonlinear variable structure system control for flexible link robot manipulators (유연성 로봇 매니퓰레이터에 대한 비선형 가변구조제어)

  • 김성태;임규만;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.280-284
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    • 1997
  • In this paper, Nonlinear VSS control based on bang-bang control concept is derived under the assumption that the control input is bounded. We try to derive control algorithm which has almost same performance as the time optimal control. We focus this control scheme on the real implementation of DC motor position controller of flexible link, i.e. we obtain the switching curves from the real data of DC motor system operating under the full maximum and minimum applied voltages. State space is separated into several regions and we set different switching surfaces in each region to reduce chattering problem. The efficiency of the proposed controller is compared with PID controller and it is shown that the controller converges fast than PID controller without chattering. The hybrid controller scheme is also proposed not only to control the position of hub but also to reduce the vibration of end tip of flexible link.

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A path planning of free flying object and its application to the control of gymnastic robot

  • Nam, Taek-Kun;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.4
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    • pp.526-534
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    • 2003
  • Motions of animals and gymnasts in the air as well as free flying space robots without thruster are subject to nonholonomic constraints generated by the law of conservation of angular momentum. The interest in nonholonomic control problems is motivated by the fact that such systems can not stabilized to its equilibrium points by the smooth control input. The purpose of this paper is to derive analytical posture control laws for free flying objects in the air. We propose a control method using bang-bang control for trajectory planning of a 3 link mechanical system with initial angular momentum. We reduce the DOF (degrees of freedom) of control object in the first control phase and determine the control inputs to steer the reduced order system from its initial position to its desired position. Computer simulation for a motion planning of an athlete approximated by 3 link is presented to illustrate the effectiveness of the Proposed control scheme.

High Speed Control of a Switched Reluctance Motor Using a Leading Angle Manipulation (스위칭각 조정방식에 의한 SRM의 고속 제어기 설계)

  • Yeo, Hyeong-Gee;Lee, Sang-Lak;Yoo, Ji-Yoon;Park, Gwi-Tae
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.3-5
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    • 1994
  • The SRM can be operated on the high speed range in which the back-emf is greater than the DC link voltage. However, the phase current of the SRM should be controlled through the selection of an exciting angle since it can not be controlled by a chop of the DC link voltage in the high speed range. In this paper, a PI and a bang-bang controller are employed in order to control the speed of the SRM and the leading angle of the SRM is adapted as a control input. The performances of two controllers are evaluated by computer simulation. The results show that the bang-bang controller is more attractive than the PI controller in the cost and performance aspects.

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Efficient Minimum-Time Cornering Motion Planning for Differential-Driven Wheeled Mobile Robots with Motor Control Input Constraint (모터 제어 입력 제한 조건이 고려된 차륜 이동 로봇을 위한 효율적인 최소 시간 코너링(Cornering) 주행 계획)

  • Kim, Jae-Sung;Kim, Byung-Kook
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.1
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    • pp.56-64
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    • 2013
  • We propose an efficient minimum-time cornering motion planning algorithms for differential-driven wheeled mobile robots with motor control input constraint, under piecewise constant control input sections. First, we established mobile robot's kinematics and dynamics including motors, divided the cornering trajectory for collision-free into one translational section, followed by one rotational section with angular acceleration, and finally the other rotational section with angular deceleration. We constructed an efficient motion planning algorithm satisfying the bang-bang principle. Various simulations and experiments reveal the performance of the proposed algorithm.