• Title/Summary/Keyword: dynamic control law

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Bidirectional Platoon Control Using Backstepping-Like Feedback Linearization (역보행 제어 형태의 궤환 선형화를 이용한 양방향 플래툰 제어)

  • Kwon, Ji-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.5
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    • pp.410-415
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    • 2013
  • This paper proposes a bidirectional platoon control law using a coupled distance error based on the backstepping-like feedback linearization control method for an interconnected mobile agent system with a string structure. Unlike the previous results where the single agent was controlled using the only own information without other agents, the proposed control law cannot show the only distance error convergence of each agent, but also the string stability of the whole system. Also, the control performances are improved by the proposed control law in spite of low performance of bidirectional control strategy in the previous results. The proposed bidirectional platoon control algorithm is based on the backstepping-like feedback linearization control method. The position errors between each agent and the preceding and the behind agents are coupled by weighted summation. By the proposed control law, the distance error of each agent can converge to zero while the string stability is guaranteed when the coupled errors can converge to zero. To this end, the back-stepping control method is employed. The pseudo velocity input is determined considering the kinematic relationship between agents and the string stability. Then, the actual dynamic control input is determined to make the actual velocity converge to the pseudo velocity input. The stability analysis and the simulation results of the proposed method are included in order to demonstrate the practical application of the proposed algorithm.

Dynamic modeling of supersonic engine for control law design considering the air disturbance (비행중 대기 외란을 고려한 초음속 엔진 제어용 모델링 기법 연구)

  • Park, Ik-Soo;Park, Jung-Woo;Tahk, Min-Jea;Kim, Sun-Kyeong;Kim, Sung-Jin;Sung, Hong-Gye
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.546-549
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    • 2009
  • Dynamic model for supersonic engine is proposed to design control law. The model structure is constructed to capture the local characteristics of supersonic and subsonic flow by using conservation equations. To evaluate the stability of control law under the disturbances, the air turbulence model is incorporated with the engine model. The combined model shows analogous results compared to performance analysis model which is good coincidence with CFD results and disturbance effects.

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Robust Controller Design for Non-square Linear Systems Using a Passivation Approach (수동화 기법에 의한 비정방 선형 시스템의 강인 제어기 설계)

  • 손영익
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.907-915
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    • 2002
  • We present a state-space approach to design a passivity-based dynamic output feedback control of a finite collection of non-square linear systems. We first determine a squaring gain matrix and an additional dynamics that is connected to the systems in a feedforward way, then a static passivating (i.e. rendering passive) control law is designed. Consequently, the actual feedback controller will be the static control law combined with the feedforward dynamics. A necessary and sufficient condition for the existence of the parallel feedfornward compensator (PFC) is given by the static output feedback fomulation, which enables to utilize linear matrix inequality (LMI). The effectiveness of the proposed method is illustrated by some examples including the systems which can be stabilized by the proprotional-derivative (PD) control law.

Design of a Sliding Mode Control with an Adaptation Law for the Upper Bound of the Uncertainties (불확실성의 경계치 적응기법을 가진 슬라이딩 모드 제어기 설계)

  • Yoo, Dong-Sang
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.7
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    • pp.418-423
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    • 2003
  • In order to describe the upper bound of the uncertainties without any information of the structure, we assume that the upper bound is represented as a Fredholm integral equation of the first kind, that is, an integral of the product of a predefined kernel with an unknown influence function. Based on the improved Lyapunov function, we propose an adaptation law that is capable of estimating the upper bound and we design a sliding mode control, which controls effectively for uncertain dynamic systems.

Modal synthesis of missle autopilot control law (미사일 자동 조종 제어 법칙의 형태합성)

  • 박노웅;배준경;박종국
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.547-549
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    • 1987
  • The purpose of this paper is to present an efficient and practical method for a Hissle autopilot design problem. The method emphasizes on the use of a modern design technique to classical flight control specifications and the trade-off between dynamic performance and robustness of the Missle autopilot control system.

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A study on the design of the optimal nonlinear controller for single state feedback (단일상태 feedback을 가지는 계의 최적 비선형제어기 설계에 관한 연구)

  • 노용균;조겸래
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.206-209
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    • 1988
  • For feedback control of a linear dynamic system the optimum linear slace regulator (OLSR) can be implemented only if all state are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can be improved performance over that obtained by a proportional controller. This paper found the optimal control law by well-known dynamic programming and principles of optimality. Thus, performance of both proportional and nonlinear controllers is compared with performance of optimum linear state regulator.

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Design of an Adaptive Variable Structure Control using Fredholm Integral Formulae for the Uncertainties (불확실성의 Fredholm 적분 수식화를 통한 적응가변구조제어기 설계)

  • 유동상
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.9
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    • pp.658-663
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    • 2003
  • In deterministic design of feedback controllers for uncertain dynamic systems, the upper bound of the uncertainty is very important to guarantee the stability of the closed loop system. In this paper, we assume that the upper bound of the uncertainty is formulated using a Fredholm integral equation of the first kind, that is, an integral of the product of a predefined kernel with an unknown influence function. We propose an adaptation law that is capable of estimating this upper bound. Using this adaptive upper bound, we design an adaptive variable structure control (AVSC), which guarantees asymptotic stability/ultimate boundedness of uncertain dynamic systems. The illustrative example shows the proposed AVSC is effective for uncertain dynamic systems.

A non-linear tracking control scheme for an under-actuated autonomous underwater robotic vehicle

  • Mohan, Santhakumar;Thondiyath, Asokan
    • International Journal of Ocean System Engineering
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    • v.1 no.3
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    • pp.120-135
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    • 2011
  • This paper proposes a model based trajectory tracking control scheme for under-actuated underwater robotic vehicles. The difficulty in stabilizing a non-linear system using smooth static state feedback law means that the design of a feedback controller for an under-actuated system is somewhat challenging. A necessary condition for the asymptotic stability of an under-actuated vehicle about a single equilibrium is that its gravitational field has nonzero elements corresponding to non-actuated dynamics. To overcome this condition, we propose a continuous time-varying control law based on the direct estimation of vehicle dynamic variables such as inertia, damping and Coriolis & centripetal terms. This can work satisfactorily under commonly encountered uncertainties such as an ocean current and parameter variations. The proposed control law cancels the non-linearities in the vehicle dynamics by introducing non-linear elements in the input side. Knowledge of the bounds on uncertain terms is not required and it is conceptually simple and easy to implement. The controller parameter values are designed using the Taguchi robust design approach and the control law is verified analytically to be robust under uncertainties, including external disturbances and current. A comparison of the controller performance with that of a linear proportional-integral-derivative (PID) controller and sliding mode controller are also provided.

Optimal trajectory tracking control of a robot manipulator

  • Lee, Gwan-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.980-984
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    • 1990
  • In order to find the optimal control law for the precise trajectory tracking of a robot manipulator, a perturbational control method is proposed based on a linearized manipulator dynamic model which can be obtained in a very compact and computationally efficient manner using the dual number algebra. Manipulator control can be decomposed into two parts: the nominal control and the corrective perturbational control. The nominal control is precomputed from the inverse dynamic model using the quantities of a desired trajectory. The perturbational control is obtained by applying the second-variational method on the linearized dynamic model. Simulation results for a PUMA-560 robot show that, by using this controller, the desired trajectory tracking performance of the robot can be achieved, even in the presence of large initial positional disturbances.

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The multiple Control Law Design of the Variable Structure Control for Angular Position Control of the Robot Arm with an Indirect Driving Joint Using Balance of the Inertial Moment (관성모멘트의 균형을 이용하는 간접구동관절을 갖는 로보트아암의 각위치 제어를 위한 가변구조제어기의 다중 제어법칙 설계)

  • Kim, Joong-Wan;Kang, Dae-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.76-83
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    • 1996
  • We have developed the unconventional robot arm which is composed of the two main parts, one is a ball screw and the other is a robot arm. The dynamic systems of the robot arm and ball screw are unstable systems coupled with each other. The ball screw mechanism is unstable system but controllable system. The robot arm's dynamics is quasi stable system when ball screw's angular position is zero, else, unstable system. Our system has the duality between stability and controllability at the view point of control. This duality causes difficulty to control of the robot arm using normal control law. We have investigated the location of the characteristic roots of the dynamic equation. And we have found out that the best condition for the control of the arm is quasi stable state. In this paper, we have proposed multiple control laws which are consist of three components to guarantee the stability and controllability simultaneously. The computer simulations were carried out based on VSC about the angular position control of the robot arm, and it is confirmed that the good performances could be obtained by using new controller.

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