• 제목/요약/키워드: Nonholonomic constraints

검색결과 54건 처리시간 0.025초

비홀로노믹 동적 시스템을 위한 슬라이딩 모드 제어 (Sliding Mode Control for Nonholonomic Dynamic Systems)

  • 양정민
    • 제어로봇시스템학회논문지
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    • 제8권12호
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    • pp.998-1003
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    • 2002
  • As nonholonomic dynamic systems have constraints imposed on motions that are not integrable, i.e., the constraints cannot be written as time derivatives of some functions of generalized coordinates, advanced techniques are needed for their control. In this paper, a sliding mode tracking control for nonholonomic dynamic systems is proposed. By introducing a general scheme of coordinate transformation, the state of nonholonomic systems is mapped into a bounded space and a robust controller for dynamic models of nonholonomic systems with input disturbances is designed using sliding mode control scheme. Simulation results of tacking control for a nonholonomic mobile robot with two actuated wheels are provided to show the effectiveness of the proposed controller.

비홀로노믹 시스템을 위한 견실 추종 제어 (Robust Tracking Control of Nonholonomic Systems)

  • 양정민
    • 대한전기학회논문지:시스템및제어부문D
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    • 제52권1호
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    • pp.31-37
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    • 2003
  • A robust tracking control for nonholonomic dynamic systems is proposed in this paper. Since nonholonomic dynamic systems have constraints imposed on motions that are not integrable, i.e., the constraints cannot be written as time derivatives of some functions of generalized coordinates, advanced techniques are needed for their control. It is shown that if the state of nonholonomic systems is mapped into a bounded space by a coordinate transformation, a robust controller for dynamic models of nonholonomic systems with input disturbances can be designed using sliding mode control. Stability and robustness of the proposed controller are proved in the Lyapunov sense. Numerical simulations on the trajectory tracking of a two-wheeled mobile robot are conducted to validate the effectiveness of the proposed controller.

이동로보트의 점근적으로 안정한 추종제어 (Asymptotically stable tracking control of mobile robots)

  • 김도현;오준호
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.187-190
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    • 1997
  • In the past few years, many researchers are interesting of control of mobile robot with nonholonomic constraints. And tracking problems is important as well as regulation in nonholonomic system control. Some researchers have investigated the stable tracking control law for mobile robot. But, few results showed the globally asymptotically stable control method simply. So, we address the design of globally asymptotically stable tracking control law for mobile robot with nonholonomic velocity constraints using simple method. The stabilizability of the controller is derived by Lyapunov direct method. And we analyze the system responses according to the variation of control parameters in line tracking problem. It is derived that the responses represent no overshoot property in line tracking. Examples are two-wheeled mobile robot and car-like mobile robot and the simulation results represent the effectiveness of our method.

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Dynamic Modeling and Adaptive Neural-Fuzzy Control for Nonholonomic Mobile Manipulators Moving on a Slope

  • Liu Yugang;Li Yangmin
    • International Journal of Control, Automation, and Systems
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    • 제4권2호
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    • pp.197-203
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    • 2006
  • This paper addresses dynamic modeling and task-space trajectory following issues for nonholonomic mobile manipulators moving on a slope. An integrated dynamic modeling method is proposed considering nonholonomic constraints and interactive motions. An adaptive neural-fuzzy controller is presented for end-effector trajectory following, which does not rely on precise apriori knowledge of dynamic parameters and can suppress bounded external disturbances. Effectiveness of the proposed algorithm is verified through simulations.

비 홀로노믹 구속조건을 이용한 수중 이동체의 자세제어에 관한 연구 (A Posture Control for Underwater Vehicle with Nonholonomic Constraint)

  • 남택근;김철승
    • 한국항해항만학회지
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    • 제28권6호
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    • pp.469-474
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    • 2004
  • 본 논문에서는 비 홀로노믹적인 구속조건을 갖는 수중 이동체의 위치 및 자세제어에 관한 제어기법에 대해서 논의한다. 비 홀로노믹시스템은 적분 불가능한 구속조건으로부터 도출되어지는 시스템으로 연속시간영역의 피드백제어로는 평형점에서의 안정화제어가 불가능한 특성을 가지고 있다. 본 연구에서는 속도의 비 홀로노믹 구속조건을 가지는 수중 이동체에 대하여 체인드폼으로 변환하고 변환된 시스템에 대해 백스테핑 제어기법을 적용하여 자세제어를 행하였으며 수치시뮬레이션을 통하여 제어기법의 유용성을 평가하였다.

경로 관측기를 이용한 차륜형 이동 로봇의 경로 추종 (Path-Following using Path-Observer for Wheeled Mobile Robots)

  • 임미섭;임준홍
    • 대한전기학회논문지:전력기술부문A
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    • 제48권11호
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    • pp.1448-1456
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    • 1999
  • In this paper, we propose a new technique for path-following of the wheeled mobile robot systems with nonholonomic constraints using a path-observer. We discuss the path-following problems of the nonholonomic mobile robot systems which have two nonsteerable, independently driven wheels with the various initial conditions such as a position, a heading angle, and a velocity. It is shown that the performance of dynamic path-following importantly is affected by the intial conditions. Particularly, if the initial conditions become more distant from the desired path and the desired velocity become faster, the system is shown to have worse performance and small time local stable. To find the controllable and stable control for path-following with various initial configuration, we propose the path-observer which can be used for control of the stable path-following of nonholonomic mobile robot system with the various initial conditions. The proposed scheme exhibits the efficient path-following properties for nonholonomic mobile robot in any intial conditions. The simulation results demonstrate the effectiveness of the proposed method for dynamic path-following tasks with the various initial conditions.

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디지털 제어기법에 의한 체인드시스템의 제어 (Chained systems control using digital state steering)

  • 남택근;노영오;안병원;허광석
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2005년도 전기학술대회논문집
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    • pp.287-292
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    • 2005
  • In this paper, a state steering strategy using digital control method for chained system is presented. The chained system can be derived from the velocity or acceleration constraints that cannot be integrable. Especially, the chained system derived from an acceleration constraints is called the high order chained system. Such a system classified as a nonholonomic systems and cannot be controlled to its equilibrium points by continuous and time-invariant controller. Therefore discontinuous and time varying controller should be applied to control nonholonomic system. Using variable transformation, two sub system can be obtained from the chained or high order chained system. Deadbeat control and iterative state steering methods are proposed to control the systems that obtained from the variable transformation. Simulation results are given to show the effectiveness of the proposed control scheme.

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비 홀로노믹 구속조건을 이용한 수중 이동체의 자세제어에 관한 연구 (A posture control for underwater vehicle with nonholonomic constraint)

  • 남택근;노영오;안병원;김철승
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2004년도 춘계학술대회 논문집
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    • pp.135-140
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    • 2004
  • 본 논문에서는 비 홀로노믹적인 구속조건을 갖는 수중 이동체의 위치 및 자세제어에 관한 제어기법에 대해서 논의한다. 비 홀로노믹 시스템은 적분 불가능한 구속조건으로부터 도출되어지는 시스템으로 연속시간영역의 피트백제어로는 평형점에서의 안정화제어가 불가능한 특성을 가지고 있다. 본 연구에서는 속도의 비 홀로노믹 구속조건을 가지는 수중 이동체에 대하여 체인트폼으로 변환하고 변환된 시스템에 대해 백스테핑 제어기법을 적용하여 자세제어를 행하고 수치시뮬레이션을 통하여 제어기법의 유용성을 평가하였다.

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퍼지 시스템을 이용한 이동로봇의 궤적제어 (Tracking Control for Mobile Robot Based on Fuzzy Systems)

  • 박재훼;이만형
    • 제어로봇시스템학회논문지
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    • 제9권6호
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    • pp.466-472
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    • 2003
  • This paper describes a tracking control for the mobile robot based on fuzzy systems. Since the mobile robot has the nonholonomic constraints, these constraints should be considered to design a tracking controller for the mobile robot. One of the well-known tracking controllers for the mobile robot is the back-stepping controller. The conventional back-stepping controller includes the dynamics and kinematics of the mobile robot. The conventional back-stepping controller is affected by the derived velocity reference by a kinematic controller. To improve the performance of the conventional back-stepping controller, this paper uses the fuzzy systems known as the nonlinear controller. The new velocity reference for the back-stepping controller is derived through the fuzzy inference. Fuzzy rules are selected for gains of the kinematic controller. The produced velocity reference has properly considered the varying reference trajectories. Simulation results show that the proposed controller is more robust than the conventional back-stepping controller.

A New Approach for Motion Control of Constrained Mechanical Systems: Using Udwadia-Kalaba′s Equations of Motion

  • Joongseon Joh
    • International Journal of Precision Engineering and Manufacturing
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    • 제2권4호
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    • pp.61-68
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    • 2001
  • A new approach for motion control of constrained mechanical systems is proposed in this paper. The approach uses a new equations of motion which is proposed by Udwadia and Kalaba and named Udwadia-Kalaba's equations of motion in this paper. This paper reveals that the Udwadia-Kalaba's equations of motion is more adequate to model constrained mechanical systems rather than the famous Lagrange's equations of motion at least for control purpose. The proposed approach coverts most of constraints including holonomic and nonholonomic constraints. Comparison of simulation results of two systems which are well-known in the literature show the superiority of the proposed approach. Furthermore, a special constrained mechanical system which includes nonlinear generalized velocities in its constraint equations, which has been considered to be difficult to control, can be controlled easily. It shows the possibility of the proposed approach to being a general framework for motion control of constrained mechanical systems with various kinds of constraints.

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