Control of (otherwise) uncontrollable linear mechanical systems through non-smooth impacts

被引:11
|
作者
Menini, L [1 ]
Tornambé, A [1 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Informat Sistemi & Prod, I-00133 Rome, Italy
关键词
non-smooth impacts; complementarity mechanical systems; under actuated linear mechanical systems; hybrid dynamical systems; dead-beat regulation;
D O I
10.1016/S0167-6911(03)00101-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper, largely inspired by Brogliato and Zavala-Rio (IEEE Trans. Automat. Control 45(2) (2000)), considers a particular class of jugglers, i.e., under actuated linear mechanical systems subject to non-smooth impacts (e.g., due to one clearance), which would be uncontrollable if the impacts were absent. It is shown that, under mild assumptions, the overall system is controllable, and that just the impacts can be used to solve a dead-beat regulation problem, which in absence of them would have no solution, due to the uncontrollability of the unconstrained (impulse free) mechanical system. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:311 / 322
页数:12
相关论文
共 50 条
  • [21] Examples of non-smooth mechanical systems - An overview
    Popp, K
    IUTAM SYMPOSIUM ON UNILATERAL MULTIBODY CONTACTS, 2000, 72 : 233 - 242
  • [22] On the control of non-smooth complementarity dynamical systems
    Brogliato, B
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 359 (1789): : 2369 - 2383
  • [23] Some aspects of bifurcations in non-smooth mechanical systems
    Leine, RI
    van Campen, DH
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING, 2002, : 349 - 357
  • [24] Analogous non-smooth models of mechanical and electrical systems
    Moeller, Michael
    Glocker, Christoph
    IUTAM SYMPOSIUM ON MULTISCALE PROBLEMS IN MULTIBODY SYSTEM CONTACTS, 2007, 1 : 45 - +
  • [25] RISE-LIKE SATURATED CONTROL FOR NON-SMOOTH AND SWITCHED NON-LINEAR SYSTEMS
    Basyal, Sujata
    Ting, Jonathan
    Allen, Brendon C.
    PROCEEDINGS OF ASME 2023 INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, IMECE2023, VOL 6, 2023,
  • [26] Non-smooth predictive control for mechanical transmission systems with backlash-like hysteresis
    Dong, Ruili
    Tan, Yonghong
    Janschek, Klaus
    Chen, Xiang
    NONLINEAR DYNAMICS, 2016, 85 (04) : 2277 - 2295
  • [27] Non-smooth predictive control for mechanical transmission systems with backlash-like hysteresis
    Ruili Dong
    Yonghong Tan
    Klaus Janschek
    Xiang Chen
    Nonlinear Dynamics, 2016, 85 : 2277 - 2295
  • [28] Non-smooth feedback control for a class of constraint systems
    Weijun, Chen
    Weifeng, Jia
    Open Automation and Control Systems Journal, 2014, 6 (01): : 792 - 796
  • [29] Exponential and BIBS stabilisation of one degree of freedom mechanical systems subject to single non-smooth impacts
    Menini, L
    Tornambè, A
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (02): : 147 - 155
  • [30] Non-smooth dynamical systems
    Leine, Remco I.
    van de Wouw, Nathan
    Lecture Notes in Applied and Computational Mechanics, 2008, 36 : 59 - 77